Advances in stabilization of highly nonlinear hybrid delay systems

DOI10.1016/j.automatica.2021.110086zbMath1480.93433OpenAlexW4200175720MaRDI QIDQ2063861

Hailing Dong, Xuerong Mao

Publication date: 3 January 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2021.110086

zbMATH Keywords

exponential stabilityBrownian motionMarkov chainLyapunov functionalbounded feedback controlhybrid SDDE

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Delay control/observation systems (93C43) Exponential stability (93D23)

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Stabilization of Highly Nonlinear Hybrid Stochastic Differential Delay Equations with Lévy Noise by Delay Feedback Control, Improved delay-dependent stability of superlinear hybrid stochastic systems with general time-varying delays, A stabilization analysis for highly nonlinear neutral stochastic delay hybrid systems with superlinearly growing jump coefficients by variable-delay feedback control, Delay feedback control of highly nonlinear neutral stochastic delay differential equations driven by G-Brownian motion, On the existence and asymptotic stability of hybrid stochastic systems with neutral term and non-differentiable time delay, Discrete-time feedback control for highly nonlinear hybrid stochastic systems with non-differentiable delays, Stabilization of hybrid stochastic systems with time-varying delay by discrete-time state feedback control, Advances in nonlinear hybrid stochastic differential delay equations: existence, boundedness and stability

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