Method of limiting differential inclusions and asymptotic behavior of systems with relay controls

DOI10.26516/1997-7670.2022.42.90OpenAlexW4312886517MaRDI QIDQ2685545

Ivan Anatol'evich Finogenko

Publication date: 22 February 2023

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: https://mathizv.isu.ru/en/article/file?id=1433

zbMATH Keywords

dry frictionrelay controllimiting differential inclusioncontrolled mechanical systemsLyapunov function with semidefinite derivative

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Control of mechanical systems (70Q05) Ordinary differential inclusions (34A60) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• The limiting equations of nonautonomous ordinary differential equations
• Stability theory by Liapunov's direct method
• Attractivity of equilibrium sets of systems with dry friction
• On the implication of properties of related systems: a method for obtaining implication conditions and application examples
• Attraction for mechanical systems with friction
• Method of limiting differential inclusions for nonautonomous discontinuous systems with delay
• The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

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