Project detail

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

Duration: 01.01.2023 — 31.12.2025

Funding resources

Czech Science Foundation - Standardní projekty

- whole funder

On the project

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.

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

Mark

23-06476S

Default language

English

People responsible

Dokoupil Jakub, Ing., Ph.D. - fellow researcher
Hartmanová Marie, Mgr. - fellow researcher
Mencáková Kristýna, Mgr., Ph.D. - fellow researcher
Šmarda Zdeněk, doc. RNDr., CSc. - fellow researcher
Vážanová Gabriela, Mgr., Ph.D. - fellow researcher
Zezula Lukáš, Ing. - fellow researcher
Diblík Josef, prof. RNDr., DrSc. - principal person responsible

Units

Cybernetics and Robotics
- (2022-04-03 - not assigned)

Results

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

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