TIEJ6803 COM4: Dynamical System and Control Theory (JSS30) (2 cr)

Open the course unit brochure on Sisu

Study level:

Postgraduate studies

Grading scale:

Pass - fail

Language:

English

Responsible organisation:

Faculty of Information Technology

Curriculum periods:

2020-2021, 2021-2022

Description

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).

Learning outcomes

Analytical-numerical approaches to the study of stability and oscillations in dynamical systems with applications to the control systems and chaos

Description of prerequisites

Basic knowledge in linear algebra, mathematical analysis, ordinary differential equations, solving ODE in Matlab or Maple.

Study materials

N. Kuznetsov, Analytical and numerical methods for the study of attractors: bifurcations, localization, and dimension characteristics.
https://www.math.spbu.ru/user/nk/PDF/2017-GRISC-invited-Hidden-attractors-Lyapunov-dimension.pdf

G.A. LEONOV, STRANGE ATTRACTORS AND CLASSICAL STABILITY THEORY, 2008 https://www.math.spbu.ru/user/leonov/publications/pdfs/en/strange_attractors.pdf

Literature

G.A. LEONOV, Mathematical Problems of Control Theory, 2001

Completion methods

Method 1

Select all marked parts

Parts of the completion methods

Participation in teaching (2 cr)

Type:

Participation in teaching