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

23-06476S

angličtina

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. et Ing. - spoluřešitel

Kybernetika a robotika
- odpovědné pracoviště (3.4.2022 - nezadáno)
Kybernetika a robotika
- příjemce (3.4.2022 - nezadáno)

63th IEEE Conference on Decision and Control. Milano (16.12.2024)
Detail

HARTMANOVÁ, M.; DIBLÍK, J. General Solution of a Planar Linear Discrete System with a Weak Single Delay in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms. In Proceedings II of the 30th Conference STUDENT EEICT 2024. Proceedings II of the Conference STUDENT EEICT. Brno: Brno University of Technology, Faculty of Electrical Engineering, 2024. p. 343-347. ISBN: 978-80-214-6230-4. ISSN: 2788-1334.
Detail

ZEZULA, L.; KOZOVSKÝ, M.; BLAHA, P. Diagnostics of Interturn Short Circuits in PMSMs With Online Fault Indicators Estimation. IEEE Transactions on Industrial Electronics, 2024, vol. 71, no. 11, p. 15001-15011. ISSN: 0278-0046.
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. 6 p. ISBN: 979-8-3503-3182-0.
Detail

DIBLÍK, J. REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND WITH DELAYS. Opuscula Mathematica, 2025, vol. 45, no. 2, p. 145-177. ISSN: 1232-9274.
Detail

HARTMANOVÁ, M.; DIBLÍK, J. General Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a Singular Matrix of Non-delayed Terms. In Proceedings II of the Conference Student EEICT. Proceedings II of the Conference STUDENT EEICT. 1. Brno: Brno University of Technology, 2025. no. 1, p. 331-335. ISBN: 9788021463219. ISSN: 2788-1334.
Detail

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. Total least squares from a Bayesian perspective: Incorporating data-informed forgetting. In 63th IEEE Conference on Decision and Control. NEW YORK: IEEE, 2024. p. 5737-5744. ISBN: 979-8-3503-1633-9.
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DIBLÍK, J.; BOHÁČKOVÁ, H.; ŠAFAŘÍK, J. Discrete Analogue of a Linear Differential Model wiith Delay of the Mach Number Dynamics and its Solution. In Proceedings - 2024 9th International Conference on Mathematics and Computers in Sciences and Industry, MCSI. 1. Institute of Electrical and Electronics Engineers Inc., 2025. p. 174-179. ISBN: 9798350377224.
Detail

BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. TESTS FOR BOUNDEDNESS AND EXPONENTIAL STABILITY OF LINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAYS. Differential and Integral Equations, 2025, vol. 38, no. 1-2, p. 43-70. ISSN: 0893-4983.
Detail

ZEZULA, L.; BLAHA, P. Online Monitoring of Interturn Short Circuit Current in PMSMs. In IECON 2024: 50th Annual Conference of the IEEE Industrial Electronics Society. IEEE, 2025. 6 p. ISBN: 978-1-6654-6454-3.
Detail

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