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

Avaa opintojakson esite Sisussa

Opinnon taso:

Jatko-opinnot

Arviointiasteikko:

Hyväksytty - hylätty

Suorituskieli:

englanti

Vastuuorganisaatio:

Informaatioteknologian tiedekunta

Opetussuunnitelmakaudet:

2020-2021, 2021-2022

Kuvaus

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).

Osaamistavoitteet

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

Esitietojen kuvaus

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

Oppimateriaalit

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

Kirjallisuus

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

Suoritustavat

Tapa 1

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Suoritustapojen osat

Osallistuminen opetukseen (2 op)

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