NON-LINEAR:Short Course / Seminar on
Non-Linear Systems, Non-Linear Control and Applications

Athens, Greece, September 20-21, 2025

Short Course / Seminar

This course "Non-Linear Systems, Non-Linear Control and Applications" focuses on the study of systems whose behavior is governed by non-linear equations,
meaning the relationship between variables is not proportional or additive.
These systems can exhibit complex behaviors like chaos, bifurcations, limit cycles, and strange attractors.
Topics include:
Non-linear dynamics: Exploring the fundamental principles of non-linear systems and their applications.
Phase plane analysis: Studying system trajectories in state-space to understand stability and behavior.
Stability theory: Methods like Lyapunov's direct method to analyze system stability.
Autonomous and Non-Autonomous Systems
Non-linear Control Systems
Non-linear Systems with Delays
Chaos theory: Understanding chaotic behavior, sensitivity to initial conditions, and fractals.
Bifurcation theory: Investigating how small changes in system parameters can lead to qualitative changes in system dynamics.
Numerical Methods for Non-linear Systems
Applications: The course may include applications to engineering, biology, economics, and other fields where non-linear phenomena are observed.
The course typically combines theoretical analysis with practical simulation and modeling techniques.

This course is based on the Course that Prof. Mastorakis has been teaching in the Technical University of Sofia since 2008.
You will receive the Book "Applied Nonlinear Control"by Jean-Jacques Slotine, Weiping Li

Target Audience (Who Should Attend)

A course on Non-linear Systems is typically designed for individuals who have a background in mathematics, engineering, or related fields. The following groups of people can typically attend such a course:

Undergraduate or Graduate Students:
Mathematics: Students majoring in mathematics, particularly those focusing on applied mathematics or dynamical systems.

Engineering: Students in fields such as electrical, mechanical, aerospace, civil, or control engineering who have taken relevant foundational courses.

Physics: Students studying physics, particularly those focusing on systems dynamics, chaos theory, or complex systems.

Computer Science: Students who are interested in non-linear modeling and simulations, particularly those working in computational dynamics or machine learning.

Researchers: Researchers in control theory, dynamical systems, signal processing, biomedical engineering, and related disciplines might attend such a course to deepen their knowledge of non-linear behavior and its analysis.

Professionals in Applied Fields: Professionals working in industries that deal with non-linear systems, such as robotics, telecommunications, finance, and biomedicine, may take this course for further professional development.

Engineers and scientists: working on control systems, optimization, or system modeling might find the course beneficial.

Anyone with a Strong Mathematical Background: Individuals who have a good understanding of linear algebra, differential equations, and possibly previous exposure to linear systems theory (like control theory) can usually handle a course in non-linear systems.

Anyone Interested in Advanced Topics:
If you're someone with an interest in advanced dynamics, chaos theory, bifurcation theory, or non-linear modeling techniques, then you can attend the course, provided you meet the necessary prerequisites.

Prerequisites: A basic understanding of the following would usually be required: Differential Equations: Both ordinary differential equations (ODEs) and partial differential equations (PDEs). Linear Systems Theory: Understanding of linear systems, stability analysis, and control theory.

Mathematical Tools: Basic knowledge of linear algebra, calculus, and possibly some complex analysis.

Course Programme

  • Introduction to Non-linear System
  • Non-linear Dynamical Systems
  • Linearization and Stability Analysis
  • Lyapunov Methods
  • Autonomous and Non-Autonomous Systems
  • Non-linear Control Systems
  • Non-linear Systems with Delays
  • Chaos
  • Numerical Methods for Non-linear Systems
  • Applications of Non-linear Systems

Advisory Committee

  • Prof. Aida Bulucea, University of Craiova, Romania
  • Prof. Roberta Chiaraluce, Sapienza Universita di Roma, Roma, Italy
  • Prof. George Perry, The University of Texas at San Antonio, USA
  • Prof. Maria Isabella Garcia Planas, Department of Mathematics at the Universitat Politecnica de Catalunya, Barcelona, Spain
  • Prof. Valeri Mladenov, Department of Electrical Engineering, Technical University of Sofia, Bulgaria

Course Presenter

    Prof. Nikos Mastorakis is an engineer, mathematician and university professor in many Universities. He is in the list of the most famous 7 Greek Professor of the University of Stanford. Seven Greek researchers among the over-productive ones in the world: https://www.ellines.com/en/good-news/41299-seven-greek-researchers-among-the-over-productive-ones-in-the-world .
    He is a Full Professor at the Technical University of Sofia, Bulgaria and at the Hellenic Naval Academy and Honorary Professor at the University of Obuda, Budapest, Honorary Professor at the Vudapest Technological Institute, also in Budapest, Honorary Professor at the Technical University of Cluj, Romania, Honorary Professor at the University of Salerno, Italy and Visiting Professor at the University of Exeter, Great Britain. He is well known for his studies in System Theory and in particular Multidimensional Systems, Mathematical Modelling and Computational Mathematics. His research work on the factorization of multivariable polynomials made him particularly well known, as he was the first to work on this unsolved problem. He has also worked on the design of multivariate filters, stability and stability margin of multivariate systems, and various signal processing issues. He has been honored by the Romanian Academy of Sciences
    Nikos Mastorakis studied at the Medical School of the University of Athens from 1982 to 1984 and from 1988 to 1989 without receiving a degree, and at the National Technical University of Athens from 1984 to 1988 at the School of Electrical and Computer Engineering, where he received the Diploma of Electrical Engineering with honours and first in his year and graduated one year earlier than the normal duration of studies. He completed a PhD thesis in the same Faculty which he completed with distinction in 1992. In the years 1993-1995 he attended the Department of Mathematics of the National and Kapodistrian University of Athens (Direction: Theoretical Mathematics) and also graduated with Honours. Nikos Mastorakis received First Prize in the Panhellenic Competition of the Hellenic Mathematical Society in 1982. During his studies at the NTUA he received the Papastavridio Scholarship for outstanding performance, and in 1991 he came first in the ICM competition in Applied Mathematics. As a Researcher: In 1998 he was invited by the University of Exeter UK to teach as a Visiting Professor for one semester, and in the academic years 2002-2003 and 2007-2008 he was a Visiting Professor at the Technical University of Sofia, Bulgaria. Translated with DeepL.com (free version)

    In 2008 the Polytechnic University of Cluj-Napoca, Romania awarded him the title of Honorary Professor. In the same year, 2008, he received an Honorary Award from the Academy of Sciences of Bucharest, Romania. In 2011, the Technical College of Budapest Tech honored him with the title of Honorary Professor, while the University of Obuda, Budapest, Hungary awarded him the title of Honorary Professor in 2012. In 2014-2015 he was a Visiting Professor at the University of Salerno, Salerno, Italy. He was also invited by Professor Lotfi A. Zadeh as a Visiting Professor at the University of California, Berkeley as a Visiting Professor for one year.

    According to a study by Professor I. Ioannidis of Stanford, he is one of the 7 Greeks who are among the most productive scientists in the world . See https://www.ellines.com/en/good-news/41299-seven-greek-researchers-among-the-over-productive-ones-in-the-world . and https://www.tovima.gr/2018/10/07/science/7-ellines-ereynites-stou-pio-paragogikous-tou-kosmou

    Research work and achievements :
    His research work on the factorization of multivariable polynomials made him particularly well known, as he was the first to work on this unsolved problem. He has also worked on the design of multivariate filters, stability and stability margin of multivariate systems, as well as on various signal processing, simulation, energy and software development topics. He has also been involved in literature, writing a book of 28 short stories, Grammar and Syntax of the Cretan dialect and another book with a collection of articles in the Athenian and Cretan press.

Location and Venue

Registration Fees

Contact us by email:
info@inase.org
support@inase.org
inase.editorial@gmail.com
Contact the Presenter by email: mastor@tu-sofia.bg

The course is based on the course that Professor Mastorakis has been teaching in the Technical University of Sofia since 2008. To attend the course, we have fees:
a) 620 EUR. Includes the attendance of the short Course, a copy of the Book "Applied Nonlinear Control" by Jean-Jacques Slotine, Weiping Li, coffee-breaks and two lunches.
a) 930 EUR. Includes 3 nights of accommodation in Palmar Club in a double room, the attendance of the short Course, a copy of the Book "Applied Nonlinear Control" by Jean-Jacques Slotine, Weiping Li, coffee-breaks and two lunches.


A Certification will be given to you also by Professor Nikos E. Mastorakis, Technical University of Sofia, Sofia, Bulgaria and Hellenic Naval Academy, Piraeus, Greece.
mastor@tu-sofia.bg




Send us your suggestions for your own Short Course/ Seminar by email (see below).
The Lecturer should have taught the subject at a major university in the last few years and have a strong number of publications mainly in Scopus and ISI journals. Courses will be held at the Palmar Club or at the lecturer's University, subject to permission from the academic authorities there.
Each proposal must contain:

* Objectives
* Common target
* Course programme
* Short biography of the presenter
* Venue where the proposer proposes
Proposals are evaluated by our Advisory Committee based on the scientific and academic competence of the lecturer, and whether the proposal will attract a sufficient number of participants.

Send us your suggestions for your own Short Course/ Seminar by email:
info@inase.org
support@inase.org
inase.editorial@gmail.com