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Switched Dynamical Systems

Course: Switched Dynamical Systems

Code: 3ФЕИТ01013

ECTS points: 6 ECTS

Number of classes per week: 3+0+0+3

Lecturer: Asst. Prof. Dr. Vesna Ojleska Latkoska

Course Goals (acquired competencies): After completion of the course, the student will gain knowledge for the switched dynamical systems, and will be able to recognize control problems for which the application of these models gives best results. Also, the student will be introduced to the stability conditions for such systems and gaining ideas for application in some new areas.

Course Syllabus: 1. Introduction to switched dynamical systems. 2. Mathematical preliminaries for studying switched dynamical systems. 3. Stability of switched dynamical systems: stability under arbitrary switching; stability under constrained switching. 4. Controllability, observability and canonical decompositions of switched control systems. 5. Switching control. 6. Optimization of switched dynamical systems. 7. Switched fuzzy systems and switched fuzzy-neural systems.

Literature:

Required Literature

No.

Author

Title

Publisher

Year

1

Daniel Liberzon

Switching in Systems and Control

Boston, MA: Birkhauser

2003

2

Zhendong Sun, Shuzhi Sam Ge

Switched Linear Systems - Control and Design

London: Springer

2005

3

Zhendong Sun, Shuzhi Sam Ge

Stability Theory of Switched Dynamical Systems (Communications and Control Engineering)

Springer

2011

Additional Literature

No.

Author

Title

Publisher

Year

1

Arjan J. van der Schaft, Hans Schumacher

An Introduction to Hybrid Dynamical Systems (Lecture Notes in Control and Information Sciences, 251)

Springer

2000

2

R. Goebel, R. G. Sanfelice, A.R. Teel

Hybrid Dynamical Systems: Modeling, Stability, and Robustness

Princeton University Press

2012

3

W. Perruquetti, and J. P. Barbot (editors)

Sliding Mode Control in Engineering

Marcel Dekker

2002