TIEJ6803 COM4: Dynamical System and Control Theory (JSS30) (2 cr)
Introduction to the dynamical systems theory; Introduction to the local and global stability criteria; Stability and oscillations in dynamical models of control systems; Analytical-numerical methods for the study of oscillation in dynamical systems; Practical work (Matlab, Maple).
Analytical-numerical approaches to the study of stability and oscillations in dynamical systems with applications to the control systems and chaos
Description of prerequisites
N. Kuznetsov, Analytical and numerical methods for the study of attractors: bifurcations, localization, and dimension characteristics.
G.A. LEONOV, STRANGE ATTRACTORS AND CLASSICAL STABILITY THEORY, 2008 https://www.math.spbu.ru/user/leonov/publications/pdfs/en/strange_attractors.pdf
- G.A. LEONOV, Mathematical Problems of Control Theory, 2001
Participation in teaching (2 cr)
Oral presentations with theory, practical work on computers (Matlab, Maple, Octave, Mathematica)