Global exponential stability of switched systems with interval time-varying delays and multiple non-linearities via simple switching signal design

DOI10.1093/imamci/dnv031zbMath1397.93159OpenAlexW2336107884MaRDI QIDQ4684015

Ker-Wei Yu, Long-Yeu Chung, Chang-Hua Lien, Jenq-Der Chen

Publication date: 27 September 2018

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/dnv031

zbMATH Keywords

Jensen inequalityglobal exponential stabilityswitched systeminterval time-varying delaysswitching signalsector bounded nonlinearities

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51) Asymptotic stability in control theory (93D20) Robust stability (93D09) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

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Reachable sets bounding for switched systems with time-varying delay and bounded disturbances ⋮ \({H} _{\infty}\) analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality ⋮ New results on exponential stability and passivity analysis of delayed switched systems with nonlinear perturbations ⋮ Robust mixed performance of uncertain switched systems with random time-varying delay ⋮ Aperiodic sampled-data robust H_∞ control of uncertain continuous switched time-delay systems with novel synchronous switching signal selection

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