Detail projektu

Analysis of Discrete and Continuous Dynamical Systems with Emphasis on Identification Problems

Období řešení: 01.01.2023 — 31.12.2025

Zdroje financování

Grantová agentura České republiky - Standardní projekty

- plně financující

O projektu

The project is concerned with solving the problem of identification and qualitative analysis of linear and nonlinear discrete and continuous dynamical systems. This is related to the investigation of new methods for analyzing problems of discretization and numerical solution of systems, analysis of stability, identification of the limit behaviour of delayed systems, analysis of systems with weak after-effect and the application of delayed matrix to solving control problems. The focus will be given to designing estimation procedures for nonlinear models from the Bayesian perspective and adopting a non-iterative learning schema on the basis of global distributional approximation techniques. To deal with an incomplete model of parameter variations, selective forgetting will be considered and adjusted automatically in a way that complies with the degree of the system non-stationarity. The outcomes will include new approaches to the identification and qualitative analysis of nonlinear dynamical systems.

Klíčová slova
Dynamical system; identification; discretization; aftereffect; stability; limit behaviour; control; Bayesian state; nonlinear estimation

Označení

23-06476S

Originální jazyk

angličtina

Řešitelé

Diblík Josef, prof. RNDr., DrSc. - hlavní řešitel
Dokoupil Jakub, Ing., Ph.D. - spoluřešitel
Hartmanová Marie, Mgr. - spoluřešitel
Mencáková Kristýna, Mgr., Ph.D. - spoluřešitel
Šmarda Zdeněk, doc. RNDr., CSc. - spoluřešitel
Vážanová Gabriela, Mgr., Ph.D. - spoluřešitel
Zezula Lukáš, Ing. - spoluřešitel

Útvary

Kybernetika a robotika
- příjemce (03.04.2022 - nezadáno)

Výsledky

DIBLÍK, J. Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals. APPLIED MATHEMATICS LETTERS, 2023, vol. 142, no. 108654, p. 1-6. ISSN: 1873-5452.
Detail

DOKOUPIL, J.; VÁCLAVEK, P. Recursive identification of the ARARX model based on the variational Bayes method. In 62th IEEE Conference on Decision and Control. NEW YORK: IEEE, 2023. p. 4215-4222. ISBN: 979-8-3503-0124-3.
Detail

ZEZULA, L.; BLAHA, P. Discrete-Time Modeling of PMSM for Parametric Estimation and Model Predictive Control Tasks. In IECON 2023: 49th Annual Conference of the IEEE Industrial Electronics Society. IEEE, 2023. ISBN: 979-8-3503-3182-0.
Detail

Odpovědnost: Diblík Josef, prof. RNDr., DrSc.