A Criterion for the Asymptotic Stability of a Periodic Selector-Linear Differential Inclusion
| Autor: | M. V. Morozov |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Infinitesimal 010102 general mathematics 02 engineering and technology 01 natural sciences symbols.namesake 020901 industrial engineering & automation Differential inclusion Exponential stability Positive definiteness Control and Systems Engineering Stability theory symbols Applied mathematics Limit (mathematics) 0101 mathematics Electrical and Electronic Engineering Mathematics |
| Zdroj: | Automation and Remote Control. 82:63-72 |
| ISSN: | 1608-3032 0005-1179 |
| DOI: | 10.1134/s0005117921010045 |
| Popis: | We consider a periodic selector-linear differential inclusion. It is proved that for this inclusion to be uniformly asymptotically stable, it is necessary and sufficient that there exists a time-periodic Lyapunov function of a quasi-quadratic form. We derive estimates for the Lyapunov function that guarantee its positive definiteness and the existence of an infinitesimal upper limit. |
| Databáze: | OpenAIRE |
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