Delay-dependent stability of non-linear hybrid stochastic functional differential equations

DOI10.1049/iet-cta.2019.0329zbMATH Open1544.93315WikidataQ127131484 ScholiaQ127131484MaRDI QIDQ6598705

Ruili Song, Bo Wang, Quanxin Zhu

Publication date: 5 September 2024

Published in: IET Control Theory \& Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityMarkov processesdifferential equationsstability criteriaLyapunov functionsnonlinear control systemsdelaysstochastic systems\(H^\infty\) controlLyapunov methodsMarkovian switchingdelay-dependent stability\(H_\infty\) stabilitynonlinear stochastic functional differential equations

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Hybrid systems of functional-differential equations (34K34)

Cites Work

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Related Items (3)

Noise-to-state and delay-dependent stability of highly nonlinear hybrid stochastic differential equation with multiple delays ⋮ Stability of switched neutral stochastic functional systems with different structures under high nonlinearity ⋮ New results on stability for non-linear Markov switched stochastic functional differential systems

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