Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 199, Pages 7–16
DOI: https://doi.org/10.36535/0233-6723-2021-199-7-16 (Mi into885) 		 
Advanced algorithm for stability analysis of combined dynamical systems

D. K. Andreichenko, K. P. Andreichenko, D. V. Melnichuk

Saratov State University
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DOI: https://doi.org/10.36535/0233-6723-2021-199-7-16
Abstract: A hybrid dynamical system (HDS) is a system of ordinary and partial differential equations under some boundary conditions, constraints, and initial conditions. A “fast” algorithm for analyzing the stability of an HDS is applicable only in the case where the characteristic and perturbing quasipolynomials are analytic to the right of the imaginary axis and in its neighborhood. We propose an advanced algorithm for analyzing the stability of an HDS, which is free from this restriction, and compare its complexity with the “fast” algorithm.
Keywords: hybrid dynamical systems, stability theory, mathematical modeling.
Funding agency Grant number
Russian Foundation for Basic Research 19-37-90017
This work was supported by the Russian Foundation for Basic Research (project No. 19-37-90017).
Document Type: Article
UDC: 517.935.2
MSC: 93D20
Language: Russian
Citation: D. K. Andreichenko, K. P. Andreichenko, D. V. Melnichuk, “Advanced algorithm for stability analysis of combined dynamical systems”, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 199, VINITI, Moscow, 2021, 7–16
Citation in format AMSBIB
\Bibitem{AndAndMel21}
\by D.~K.~Andreichenko, K.~P.~Andreichenko, D.~V.~Melnichuk
\paper Advanced algorithm for stability analysis of combined dynamical systems
\inbook Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 --- February 1, 2020. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 199
\pages 7--16
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into885}
\crossref{https://doi.org/10.36535/0233-6723-2021-199-7-16}
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