Detail projektu

Identifikace a řiditelnost obyčejných a frakcionálních dynamických systémů

Období řešení: 01.03.2023 — 28.02.2026

Zdroje financování

Vysoké učení technické v Brně - Vnitřní projekty VUT

- plně financující (2023-01-01 - 2024-12-31)

O projektu

Výzkum plánujeme zaměřit na následující oblasti: - diskretizační algoritmy lineárních i nelineárních funkcionálních rovnic, asymptotická analýza jejich řešení - studium diskrétních systémů Emden-Fowlerova typu , aplikace pomocí metody tzv. retraktu, identifikace a řiditelnost systému na konečném intervalu - návrhy numerických algoritmů pro frakcionální systémy zpožděného typu, konvergenční analýza

Označení

FEKT-S-23-8179

Originální jazyk

čeština

Řešitelé

Útvary

Ústav matematiky
- interní (01.01.2023 - 31.12.2025)
Fakulta elektrotechniky a komunikačních technologií
- příjemce (01.01.2023 - 31.12.2025)

Výsledky

DIBLÍK, J.; KOROBKO, E. Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type. Advances in Nonlinear Analysis, 2023, vol. 12, no. 1, p. 1-23. ISSN: 2191-950X.
Detail

DIBLÍK, J.; GALEWSKI, M.; RADULESCU, V.; ŠMARDA, Z. Multiplicity of solutions for nonlinear coercive problems. Journal of Mathematical Analysis and Application, 2023, vol. 528, no. 1, p. 1-13. ISSN: 0022-247X.
Detail

BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, vol. 360, no. 1, p. 301-326. ISSN: 0016-0032.
Detail

GIRARD, G.; RAFAEL-PATINO, J.; TRUFFET, R.; AYDOGAN,D.B.; ADLURUH, N. et al. Tractography passes the test: Results from the diffusion-simulated connectivity (disco) challenge. NeuroImage, 2023, vol. 277, no. Červen 2023, p. 1-11. ISSN: 1095-9572.
Detail

KHUSAINOV, D.; SHATYRKO, A.; OLEKSII, B.; DIBLÍK, J. Structural-Schematic Approach in the Modelling of Dynamic Systems. In 10th International Scientific Conference "Information Technology and Implementation". CEUR Workshop Proceedings. CEUR-WS, 2023. p. 471-479. ISSN: 1613-0073.
Detail

NOVÁK, V. Proceedings I of the 29th Conference STUDENT EEICT 2023 General papers. Proceedings I of the 29th Conference STUDENT EEICT 2023 General papers. 1. Brno: Brno University of Technology, Faculty of Electrical Engineering and Communication, 2023. ISBN: 978-80-214-6153-6.
Detail

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. On solvability of a two-dimensional symmetric nonlinear system of difference equations. Journal of Inequalities and Applications, 2024, vol. 2024, no. 108, ISSN: 1029-242X.
Detail

DIBLÍK, J. Novel criterion for the existence of solutions with positive coordinates to a system of linear delayed differential equations with multiple delays. APPLIED MATHEMATICS LETTERS, 2024, vol. 152, no. June 2024, p. 1-5. ISSN: 1873-5452.
Detail

NOVÁK, V. Proceedings I of the 30th Conference STUDENT EEICT 2024. Proceedings I of the 30th Conference STUDENT EEICT 2024. 1. Brno: Brno University of Technology, Faculty of Electrical Engineering and Communication, 2024. ISBN: 978-80-214-6231-1.
Detail

DIBLÍK, J.; HARTMANOVÁ, M. Non-delayed Linear Planar Discrete Systems with Constant Coefficients Equivalent to Linear Planar Discrete Delayed Systems with Constant Coefficients. Matematika, informační technologie a aplikované vědy, MITAV 2024. Brno: Univerzita Obrany, 2024. p. 1-9. ISBN: 978-80-7582-493-6.
Detail

HARTMANOVÁ, M.; DIBLÍK, J. General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly Delayed Systems Satisfied. Brno: Univerzita Obrany, 2024. p. 1-8. ISBN: 978-80-7582-493-6.
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 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: 978-80-214-6231-1. ISSN: 2788-1334.
Detail

KHUSAINOV, D.; DIBLÍK, J.; SHATYRKO, A.; HAHURIN, Z. Optimal Stabilization in Systems of Linear Differential Equations. Journal of Optimization, Differential Equations and Their Applications, 2024, vol. 32, no. 1, p. 84-96. ISSN: 2617-0108.
Detail

DIBLÍK, J.; RŮŽIČKOVÁ, M. Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point. Advances in Nonlinear Analysis, 2024, vol. 13, no. 1, p. 1-44. ISSN: 2191-9496.
Detail