In Pragueon November 15, 2022 
Dear Conference Organizers, Technical Sponsors, Travel agencies, Airlines, Proceedings publishers and Participants:
The local organizing team has made the difficult choice to hold the conference entirely online in June 2023 after great discussion and consideration.
The regional organizing committee has been keeping a careful eye on the issue. Since a further significant increase in energy and maintenance costs is anticipated in January 2023 (hence the decision to delay the start of the spring semester until the end of January), it is impossible to estimate the costs associated with holding the conference. Even now, electricity costs in the Czech Republic increased by 62% in a month (see https://www.expats.cz/czech-news/article/czech-government-releases-guidelines- on-saving-energy-amid-highest-electricity-price-increase-in-eu). Several variables, including the weather, whether electricity must be supplied from the EU to Ukraine, and whether a new wave of Ukrainian refugees will arrive in Czechia during the winter, will affect the anticipated future price hike. As a result, if conference prices are set at this time, they might not be enough to pay the true costs of holding the conference in June 2023. Additionally, the cost of flight tickets is rising steadily, and there aren't many participants who can enter the Czech Republic without a visa.
We have come to the conclusion that it is not advisable to hold this conference in person at this time in June 2023. However, as the conference has already been postponed once due to the COVID pandemics, we don't want to do it again. As a result, we had to make the painful choice to hold the conference entirely online in June 2023.This is not a decision we have taken lightly, and we regret having to postpone an occasion that will foster tremendous collaboration value and provide a springboard for future endeavors. Our top objective, however, is to proactively take all safety and health precautions for the benefit of everyone present and the general public. In addition to this, an increasing number of presenters are now subject to travel limitations, which makes it harder for us to deliver the high-quality in-person experience for which this conference has become recognized over the past 25 years. The following conference will take place in person.
The registration costs and other cost-related issues will be updated in January 2023, while the conference website icnpaa.com will be updated very shortly. Update your submissions, please.
The organizing committee chairs, session organizers, keynote speakers, organizing committees, technical sponsors, and all other attendees are especially appreciated for their perseverance in adjusting to the difficult decision to have the conference completely online in June 27–30, 2023. We appreciate your flexibility as we work together to address this unprecedented situation.
Thank you for your continued support.
Sincerely, Local Organizers and Chairs
Dr. Michal Schmirler, Czech Technical University in Prague, Czech Republic
Dr. Vladimir Kulish, Czech Technical University in Prague, Czech Republic
Local Organizing CommitteeProf. Vladimfr Horak, University of Defence, Czech Republic V4 .....Prof. Pavel Safai'fk, Czech Technical University in Prague, Czech Republic ¥Dr. Tomas Hyhlik, Czech Technical University in Prague, Czech Republic

Dr. Zbynek Studeny, University of Defence, Brno, Czech Republic

Local Advisory Committee

Dr. Jiri Maxa, Brno University of Technology, Czech Republic
Mr. Petr Prokop, Czech Technical University in Prague, Czech Republic  f?.eJ/P
Ms. Katerina Houbova, Czech Technical University in Prague, Czech Republic
Ms. Hana Schmirlerova, Czech Technical University in Prague, Czech Republic,, I,

Seenith Sivasundaram

 

ACCOMMODATION

Limited Number of Dormitory Rooms are available at the University.

First priority will be given to students and  the  most needed participants from countries  with poor economic conditions

Please contact  Ms. Kateřina Houbová (katerina.houbova@fs.cvut.cz).  and reserve your rooms ahead of time. .

The dormitory rooms are double rooms with shared facilities in the corridor.

The price for a double room is 550,- CZK per night.

The price with for a double room ISIC (international student ID card) is 150,- CZK per night/student.

Prices include VAT, without breakfast.

https://www.google.com/maps/search/koleje+strahov/@50.080519,14.3896771,16.26z

 

Hotel choices

LIST OF RECOMMENDED HOTELS

While booking rooms in these hotels through the links or email addresses provided,the delegates have to put ICPNAA 2020 –

WORLD CONGRESS: MATHEMATICAL PROBLEMS

IN ENGINEERING, AEROSPACE & SCIENCES in

the subject line.

Name	Category & distance from conference venue (km)	URL	Contact Email	Contact Phone	rooms  available as of (14.2.2020)
Silenzio	**** 1.9	https://silenziohotel.cz/?lang=en	booking@silenziohotel.cz	+ (420) 233 086 600	20
DAP	*** 0.35	https://www.volareza.cz/hotel-dap/en	rezervace@vkp.vlrz.cz	+ (420) 973 211 444	7
International Prague	**** 1.6	https://internationalprague.cz/	hotel@internationalprague.cz	+ (420) 296 537 854	150
Hotel Schwaiger	***** 1.7	https://www.hotelschwaiger.cz/	reception@hotelschwaiger.cz	+ (420) 222 76 76 05	10
Hostel Fontána	** 0.8	https://hostel-fontana.webnode.cz/	patrikdaniel2007@gmail.com	+ (420) 608 499 230	52 CZK250 (€10) per person
Meda of Museum Kampa	*** 0.95	https://hotelmeda.cz/en.html	recepce@hotelmeda.cz	+ (420) 603 373 242	27
Hostel Dakura	** 0.9	https://hosteldakura.com/	recepce@dakura.cz	+ (420) 224 323 916	6 x single 49 x double 6 x triple
City Castle Aparthotel	*** 1.1	https://castle-city-apartments-cz.book.direct/en-gb	online booking via https://castle-city-apartments-cz.book.direct/en-gb/contact	online booking via https://castle-city-apartments-cz.book.direct/en-gb/contact	No info
VIENNA HOUSE DIPLOMAT PRAGUE	**** 1.1	https://www.viennahouse.com/en/diplomat-prague/the-hotel/overview.html	click „Booking“	+ (420) 296 559 111	10
Orea Hotel Pyramida	**** 2.4	https://www.hotelpyramida.cz/en/	rezervace.pyramida@orea.cz	+ (420) 233 102 111	120

 

 

Conference Location:

Faculty of Mechanical Engineering is at Technická 4, 166 07 Praha 6.

 

 

VISA REQUIREMENT

Please check the link

https://www.pragueexperience.com/information/visas-passports.asp

If you have to get visa, for official invitation please contact  immediately the organizers at  seenithi@gamil.com . Please plan ahead.

 

ORGANIZED SPECIAL SESSIONS:

30 min. allotted per speaker

Deadline for proposals:

March 15 , 2020 ( Final deadline)

 

DEADLINE FOR PAPERS:

Abstract of the paper due

March 15 , 2020 ( final deadline)

Deadline for papers: Full paper due

Aug 15, 2020

 

ABSTRACT:

Abstract submission through the conference website:

http://www.icnpaa.com

Author Guidelines

WHEN CREATING AN ACCOUNT, PLEASE BE SURE TO CHECK THE AUTHOR CHECKBOX IN ORDER TO BE ABLE TO MAKE SUBMISSIONS

Proceedings will be published  after the conference by

AIP: American Institute of Physics

 

THE FOLLOWING SESSIONS ARE POSTED MORE TO COME

MS1:Mini Symposium: Recent Applied Mathematical Methodology Developments

in G4S&MC Studies and Elsewhere

Organizer: Professor Metin Demiralp, İstanbul Technical University.

E-mail: metin.demiralp@gmail.com URL for website of Demiralp's BIO: https://web.itu.edu.tr/demiralp/G4SAndMC/

URL for web site of G4S&MC publications:   https://web.itu.edu.tr/demiralp/G4SAndMC/

This organization is to be designed as a bundle of special sessions, which can also be considered as a minisymposium. The basic focus is on the representations of univariate and/or multivariate functions and also arrays beside the series solutions of ODEs via the Probabilistic Evolution Theory (PREVTH) and related issues in the studies of Group for Science and Methods of Computing (G4S&MC). However the minisymposium also is open to the applied mathematical methodology developed elsewhere.

The following topics have been assumed as the foci of concerns, even though they do not exclude some other contributions which can be considered for the presentation by the symposium organization.

* Singular Value Decomposition type methods, * Odinary and Kronecker power and function series,

* Operator decomposition techniques, * High Dimensional Approximation Technologies,

* High Dimensional Model Representation, Enhanced Multivariance  Products Representation and Their Varieties,

* Multinode Expansion Techniques and Comparison to Taylor Series,  * Probabilistic Evolution Theory and Related

Issues * Representation Methodologies in ODE and PDE Solutions * Coordinate Bending Transformations in ODE

or PDE Spectral Problems * Image Processing and Digital Image Sequence Decompositions

* Hyperspectral Data Analysis With or Without Decomposition Techniques

* Neuroscientific (like FMRI) Data Analysis via Traditional or Novel  Decomposition Techniques

MS2: Nonlinear Problems of Guidance, Navigation and Control in Aerospace

Abstract: The mini-symposium is devoted to research nonlinear problems of guidance, navigation and control (GNC) for launch vehicles, spacecraft, satellites, space robots, and also various aviation and aerospace vehicles. Two special sessions will be focused on the control problems of low-thrust electric propulsion engines. New mathematical methods and algorithms for synthesis, nonlinear dynamical analysis, simulation and in-flight verification of the GNC systems are welcomed. In the mini-symposium some papers will be presented by members of the Technical Committee on Aerospace (7.3) International Federation of Automatic Control (IFAC) http://www.ifac-control.org/

Organizers: Prof. Yevgeny Somov, Samara State Technical University, Russia e_somov@mail.ru

Prof. Olga Starinova, Korolev Samara National Research University, Russia solleo@mail.ru

 

MS 3: Harmonic Analysis, related Function Spaces and their Applications

This Mini-Symposium is dedicated to 85^th anniversary of Professor Alois Kufner.

Abstract: Harmonic Analysis, related Function Spaces and their interaction with PDE are increasingly important areas for mathematical modelling in various kinds of applications both to other fields of Mathematics and to other applied sciences.  The main aim of the symposium is to bring together researchers in these rapidly developing areas, in order to present recent advances in the studies and interchange knowledge in the current state of these areas of mathematics. The topics of interest include (but are not limited to): Harmonic Analysis, Operator Theory, Function Spaces, Inequalities, Interpolation Theory and Homogenization Theory. Various applications are welcome.

Organizers:

Prof. Lars-Erik Persson, Karlstad University, Sweden, and UiT The Arctic University of Norway, LarsErik.Persson@kau.se

Prof. Humberto Rafeiro, United Arab Emirates University, rafeiro@uaeu.ac.ae

Prof. Natasha Samko, UiT The Arctic University of Norway, natasha.g.samko@uit.no

MS4: Clifford Algebras, Clifford Analysis and their applications

 

SS1:Delay Differential Equations with Applications to Engineering, Life Sciences and Economics.

Abstract. The Session is dedicated to recent progresses in the area of delay differential equations and their applications to models from biology, medicine, technology and socio-economics. A major topic in this context is the study of equilibria and of the existence of periodic solutions, including Hopf bifurcations. Talks presenting oscillatory phenomena in hematology, aircraft control (including Pilot Induced Oscillations) or economics are particularly encouraged for submission.

Organizers:

Andrei Halanay, University Politehnica of Bucharest

Mihaela Neamtu, West University of Timisoara

SS 2: The Navier-Stokes equations and the phenomenon of turbulence

Abstract: Waves follow our boat as we meander across the lake, and turbulent air currents follow our flight in a modern jet. Mathematicians and physicists believe that an explanation for and the prediction of both the breeze and the turbulence can be found through an understanding of solutions to the Navier-Stokes equations. Although these equations were written down in the 19th Century, our understanding of them remains minimal. The challenge is to make substantial progress toward a mathematical theory, which will unlock the secrets hidden in the Navier-Stokes equations.

Organizer: Prof. Valdimir Kulish

E-mail: Vladimir.Kulish@fs.cvut.cz

SS3: Inductive levitation micro-systems for applications in sensors and actuators: recent development, challenges, and outlook

Abstract: Electromagnetic levitation, through remote forces, eliminates completely mechanical contact and wear, a need for fluid- or gas-bearing in moving parts of micro-systems. Consequently, it is a fascinating means to overcoming the domination of friction over inertial forces at the micro-scale. In particular, recent development in 3D micro-coil technology has announced inductive levitation micro-systems (ILMS) as a promising technology for creating a new generation of micro-sensors and –actuators with higher performance. The established micro-fabrication process, passive and simple – these are the attractive qualities of ILMS. In this talk, we will discuss new challenges facing ILMS in terms of technology and modeling. Also, new critical applications of ILMS in solid-state NMR, inertial sensors based on dynamic tuning and smart micro-actuation systems will be introduced.

Chair: Dr. Kirill Poletkin from the Karlsruhe Institute of Technology, Germany

Spin & Photon Applications Laboratory

Phone: +49 721 608-29305; Kirill.poletkin@kit edu

SS4: Fractional-order systems: theory, numerical methods and applications

Abstract: In the past decades, fractional-order systems have been gaining more acceptance within the scientific community and have been attracting significant attention as powerful tools in the mathematical modeling of real world phenomena, due to a more precise modeling of memory and hereditary properties of different processes. This special session invites contributions focusing on the qualitative theory of fractional-order systems, numerical methods developed for fractional-order systems, as well as their applications to different areas, such as electronics, signal processing, thermodynamics, economics, biology, medicine, control theory, etc.

Organizers: Eva Kaslik (West University of Timisoara, Romania) and

Dorota Mozyrska (Bialystok University of Technology, Poland)

SS5: Analysis and Applications of Fractional Differential and Difference Equations

Abstract:: Study of fractional differential equations and difference equations are emerging as a powerful tool for modeling complex dynamical systems. It has been demonstrated that fractional differential equations and difference equations represent better and more economical models than their counterpart of integer derivative models.  Modeling via fractional differential or difference equations has been established as a better representative model in various fields of mechanics, electricity, chemistry, biology, medicine, economics, control theory, as well as signal and image processing.  The main advantage of fractional dynamic systems over the integer derivative model   is that the effect is global in nature rather than local. That is mainly because the integer derivative is local whereas the fractional derivative is global in nature.

Organizer:  Prof. Aghalaya S. Vatsala , vatsala@louisiana.edu

SS6: “Nonlinear Engineering Problems".

Abstract: The scope of Session may include but not limited to following scientific directions: Dynamic systems in Engineering. Mechanical systems with critical parameters. Mechanical systems with configuration manifold having self-intersections. Auto-oscillations, instability and shock inspired by dry friction. Problems of body motion in resisting medium. Nonlinear problems in wind engineering.

Organizers: Prof. Marat Dosaev,  E-Mail : dosayev@imec.msu.ru

Prof. Yury Selyutskiy, Prof. Oleg Cherkasov (Lomonosov Moscow State University.)

SS7: Special Session: Using the Simple Adaptive Control methodology to guarantee better performance and safety of applications despite uncertainties.

Abstract: This session is dedicated to recent advances and applications of the Simple Adaptive Control (SAC) methodology to complex real-world applications. It will be shown how SAC developments have manages to both improve the performance and to also maintain it and the guarantee of safe stability of application despite uncertainties and plant parameter variations.

Organizer: Itzhak Barkana (Israel) ; Itzhak Barkana <ibarkana@gmail.com>

SS8: Deterministic and stochastic methods in Engineering Mathematics

Abstract. The presentations of this interdisciplinary session describe the recent progress in several areas important for development of both modern and future technologies, like wavelets, fractals,  computational electromagnetics, biomathematics. The research methods  include but not limited to data analysis, machine learning, numerical analysis, matrix analysis, applied statistics and stochastic processes.

Organizers:

Professor Martin Ostoja-Starzewski, University of Illinois at Urbana-Champaign, USA, e-mail martinos@illinois.edu

Professor Anatoliy Malyarenko, Mälardalen University, Sweden, e-mail anatoliy.malyarenko@mdh.se

Dr Karl Lundengård, Mälardalen University, Sweden, e-mail karl.lundengard@mdh.se

SS9:  Mathematical Modeling, Numerical Algorithms, Optimization Methods and Flow Control for Aerospace Techniques

Abstract: The session is dedicated to works on the topic in fluid mechanics, optimization and flow control for aerospace. Our session includes but is not limited to: · Numerical algorithms and computing methods in aerodynamics · UAV – design, performance prediction, control, launcher, recovery systems · Aerodynamic design optimization · Active and passive flow control methods · Applications of the Coanda effect · Fluid-structure interaction analysis · Aerodynamic and aerothermodynamic analysis of space mission vehicles

Organizers: Dr. Alexandru DUMITRACHE, “Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest, ROMANIA Dr. Florin FRUNZULICA, POLITEHNICA University of Bucharest, Faculty of Aerospace Engineering, ROMANIA & “Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest, ROMANIA

Mailing Address of the Organizers: Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy of Science, 050711 Calea 13 Septembrie Nr. 13, Sector 5, Bucharest , Romania E-mail: alex_dumitrache@yahoo.com, ffrunzi@yahoo.com

SS10:  Integral Equations and Their Applications

Abstract: The aim of the session is to discuss both the theory of integral equations and their applications in engineering, mechanics, mathematical physics and so on. In particular, talks presenting the use of integral equations in the areas of aerodynamics, fluid mechanics and wave diffraction are especially welcomed. Special emphasis is also paid to nonlinear integral equations, functional integral equations and systems of integral equations. The theory of fractional integral equations and their numerous applications is also included. Thus, various topics of the theory of integral equations which have a wide range of applications will be considered.

Session Organizers:

Luis Castro (CIDMA – Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal); Email: castro@ua.pt

Manuela Rodrigues (CIDMA – Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal)

Alberto Simões (CMA – Center in Mathematics and Applications, Department of Mathematics, University of Beira Interior, Covilha, Portugal)

SS11:  The perturbation methods and the applications and High Performance Computing

Abstracts : The new versions of information models and specialized computing machines with an open architecture, as well as methods for their use in the field of computational informatics, together providing an addition to the algorithmic base High performance computing.

An essential technical feature of CIT, which largely determines its operational qualities, is the use of specialized computing machines (VMs) with an open architecture, which, together with the developed information models, provide High Performance Computing.

It seems important to note the system-forming role of specialized computers, as well as the ability to extract completely new information about the information connections between individual (elementary) operations, in terms of which the process as a whole is described.

The central role of CIT in these structures is to apply information and knowledge to the generation of new knowledge, leading to a radical change in the methodological foundations of the formation and use of all the basic elements of Numerical methods, defining a new way of thinking in Applied and Fundamental Mathematics.

Organizer

Slyusarenko Alexander S. <sas_2000@mail.ru>

Saint-Petersburg State University of Aerospace Instrumentation

Naval Academy of the Russian Federation”

SS 12: Special Session: Applied Mathematics in Aerospace Structural Engineering

Abstract: Areas of interest include but not limited to: Aerodynamics and Fluid Mechanics, Structural Dynamics and Aeroelasticity, Composite Materials, Aircraft Propulsion, Aircraft Control, Spacecraft Engineering.

Organizers: Professors: Toshiya Nakamura, Jiro NAKAMICHI, Masato Tamayama

Structures and Advanced Composite Research Unit

Aeronautical Technology Directorate

Japan Aerospace Exploration Agency (JAXA) 6-13-1, Osawa, Mitaka, Tokyo 181-0015, Japan

E-mail: Toshiya Nakamura <nakamt@chofu.jaxa.jp>

SS13: Special Session: Fractional wavelet joint analysis with applications

Abstract: This session is dedicated to recent results of the fractional wavelet joint analysis and their applications both to other fields of Mathematics and to other applied sciences. This joint analysis provides several tools for solving differential, integral, integro-differential equations and modeling in mathematical physics. In particular, both image processing and electromagnetism have shown that the fractional-wavelet approach can shed some new light on several unsolved problems. In fact, nonlinear models are often described and approximated by fractional models and wavelet expansions, respectively. Both theories show rather strikingly that contemporary mathematics is capable of providing ever more refined models for real-world applications. In addition to this, the fractional calculus of complex functions has merited increasing consideration from the international mathematics community, thus making the fractional calculus of special functions one of the most interesting research topics in contemporary mathematics.

Organizer: Emanuel Guariglia, University of Bologna, Italy, email: emanuel.guariglia@unibo.it

SS14 Session "Mathematical and computer modeling in problems of mechanics"

Abstract: This session is dedicated to recent results of the mathematical modeling of different physical processes and of the calculating implementation of different problems of mechanics, especially of mechanics of deformable solids. Mathematical modeling of wave processes in deformable media (including motion processes in space) under dynamic effects of natural and artificial origin and/ or of the action of transport loads. Development of analytical and numerical-analytical methods for solving boundary value problems of dynamics of different problems (f.e. elastic, thermoelastic and multi-component media) using the different mathematical apparate (f.e. theory of generalized functions) and classical methods of mathematical physics. Determination of the stress-strain state of media and features of wave fields generated by sources of various types. Mathematical methods for solving differential equations and boundary value problems using models of continuum mechanics and analytical methods: the method of boundary integral equations, the method of integral transformations, the method of generalized functions, etc..

Organizer: Bakhyt Alipova, International IT University (Kazakhstan), Samara University (Russia), email: alipova.bakhyt@gmail.com

SS 15 Metric Geometry and Variational Problems

Abstract: In this session we are going do discuss classical and modern results in metric geometry theory. In particular, we are interested in geometry of hyperspaces endowed with Hausdorff or Gromov-Hausdorff distance function, and the geometry of Gromov metric triples, i.e., Polish metric spaces endowed with Borel measures. Another subject is devoted to geometry of extremals of variational problems, in particular, of geodesics, minimal networks (branched geodesics), minimal surfaces (multidimensional version), and Gromov minimal fillings. The mixture of the previous subjects leads, for instance, to classical Steiner problem in Gromov-Hausdorff space, or to transportation problems in the sense of Kantorovich, Rubinstein, Wasserstein, etc. All specialists interested in the subjects mentioned above and any related aspects are welcome to join the session.

Organizer: Professor Alexey A. Tuzhilin

Lomonosov Moscow State University, Russia

E-mail: tuz@mech.math.msu.su

SS16: Special session: Statistics and Modelling

Abstract: Our session focus on good practices in both modelling and statistics for

engineering, ecology, medicine, reliability  and physical sciences. Both applied and

theoretical aspects are considered.

Organizer: Milan Stehlik

Linz Institute of Technology and Department of Applied Statistics,

Johannes Kepler University in Linz, Austria

Email: Milan.Stehlik@jku.at

Institute of Statistics, Universidad de Valparaíso, Valparaíso, Chile

a)Corresponding author: mlnstehlik@gmail.com

b)URL: http://www.aip.org

One day Workshop on

Simple Adaptive Control
and
New Results Simplify Stability Analysis

Organizer and Speaker

Itzhak Barkana – BARKANA Consulting ibarkana@gmail.com

Description

Simple Adaptive Control (SAC) techniques have been conceived for large-scale systems. While initially considered to be just a modest version of the standard Model Reference Adaptive Control (MRAC), it was only before appropriate mathematical tools of analysis had been developed. Further developments showed that they can easily be applied to such applications as robots, planes, missiles, satellites, fine motion control, etc. Various drawbacks related to classical MRAC have been addressed and eliminated and conditions needed for robust stability have been significantly mitigated. Recent developments in nonlinear systems stability analysis tools lead to clear proofs of SAC stability in realistic environments. Realistic examples from various domains of flight control, guidance and aerospace are used to show that indeed SAC is the Stable Direct MRAC methodology. A non-minimum-phase and unstable UAV will be used as a detailed case-study to show the simplicity of SAC as an Add-On to classical control design which improves performance. Application to real hardware will be demonstrated.

About the general topic of nonlinear systems stability analysis, although Lyapunov stability theory is the customary basis of any modern stability analysis, its direct application requires fitting a Positive Definite function to the system whose derivative ”along all trajectories of the system” is Negative Definite, whereas in most non-trivial problems the derivative is at most Negative Semi-Definite. Because early extensions of Lyapunov stability theory were only covering autonomous systems, various alternatives were sought for nonautonomous systems. An alternative provided by Barbalat Lemma imposes conditions of uniform continuity of functions and even continuity of derivatives that again could limit its applicability. Besides, even when applicable, it only ends with partial results. Although extensions of LaSalle's Invariance Principle to nonautonomous systems have been available at least since 1976, they have remained surprisingly unknown for large circles of the nonlinear control community. Also, even if assumable known, misinterpretations of its larger mathematical scope (that covers much more than mere asymptotic stability) may have misled the users with respect to its usefulness. Moreover, in the light of LaSalle's observation and emphasized by Matrosov school of stability, a review of present stability results seems to show that the net result of analysis in the negative semidefinite case is not more than simple stability, which was already there in Lyapunov original Theorem. Apparently, one would have to find and use a combination of multiple Lyapunov functions in order to get more relevant results. Instead, revisiting the various alternatives to stability analysis and new results based on LaSalle’s Invariance Principle may help showing the extreme efficiency of the new Theorems of Stability to nonlinear systems stability analysis.

Keywords: Control, Adaptive Control, Positive Realness and Passivity, Lyapunov methods, Barbalat’s Lemma, LaSalle’s Invariance Principle, New Theorem of Stability

Program

I)       The need for adaptation

• Life is with uncertainty: need various gains for various situations - change in nominal parameters or various operational conditions
• Non-stationary gains: the right gains at right times. Good idea, yet… must be careful.
• Example: The danger of “safe” fixed control in nonstationary environments

II)    Review of other Adaptive Control approaches.

• First Adaptive Control ideas: ingenious yet ended in failure
• Basic MRAC: First rigorous stability proofs, problematic SPR conditions
• “Classical”  MRAC: Stability in ideal situations, problems otherwise:

- Unmodeled dynamics

- Persistent excitation

- Bursting, etc.

III) Simple Adaptive Control for Engineers

• Presentation of the Simple Adaptive Control (SAC)

- Conditions for SAC implementation in Engineering terms

- The Add-On SAC: rational and architecture.

- Advantages of the Add-On SAC - robust stability and performance  are independent

- Examples

IV) Optimal Control based architectures

- Short review of Optimal Control and Tracking

- Optimal Control as architecture generator

- The role of feedforward for good/perfect tracking

- Sensitivity to feedforward parameters motivates the need for adaptation

- Can Adaptive Control use and extend ideas from Optimization to the world of uncertainty?

V)    The role of passivity in Adaptive (or any Nonlinear) Control

- Stability conditions in Engineering terms

- Relation between Stability and Passivity

- Passivity and Almost Passivity in Engineering terms

 

VI) New stability results and their implications to SAC.

• Lyapunov’s approach to stability (around 1900)
• First extensions: Barbashin-Krasovskii and LaSalle, The Invariance Principle for Autonomous systems only (1950-1960)
• Second extension for Non-autonomous systems: Barbalat’s Lemma (around 1970): the apparent need for uniform continuity (or the implied “threat” of discontinuity).
• Further extensions: (The real and ignored) LaSalle’s Invariance Principle for Non-autonomous systems (1976-1980)
• The new Theorems of Stability (2013-2016): simple and safe tools for proofs of stability
• Example problems

VII)                      Application of the SAC algorithm

• Unstable MRAC “counterexamples” become simple examples for SAC
• Explicit design case: Combining Classical LTI design and SAC guarantee stability and lead to superior performance for Non-minimum Phase UAV.
• Missile
• Flexible structures: new developments relax the need for collocation
  • Example Problems
• Application of the Add-On SAC algorithm to real SISO and MIMO Hardware
• Advanced issues (time permitting): gain convergence, participants proposed examples