Stabilization by variable-delay feedback control for highly nonlinear hybrid stochastic differential delay equations

DOI10.1016/j.sysconle.2021.105041zbMath1480.93321OpenAlexW3203498371WikidataQ115340932 ScholiaQ115340932MaRDI QIDQ2059480

Ruili Song, Quanxin Zhu, Bo Wang

Publication date: 14 December 2021

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2021.105041

zbMATH Keywords

exponential stabilityasymptotical stabilityhighly nonlinearhybrid stochastic differential equations with variable-delayvariable-delay feedback control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Asymptotic stability in control theory (93D20) 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)

Related Items (7)

Periodically intermittent discrete observations control for stabilization of highly nonlinear hybrid stochastic differential equations ⋮ 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 ⋮ Stabilization of highly nonlinear hybrid neutral stochastic differential equations with multiple time-varying delays and different structures ⋮ Stabilization of highly nonlinear hybrid neutral stochastic neural networks with time-varying delays by variable-delay feedback control ⋮ Exponential stabilisation of highly nonlinear neutral stochastic systems by variable-delay feedback control ⋮ Ultimate boundedness of impulsive stochastic delay differential equations with delayed impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations
• Stabilisation of hybrid stochastic differential equations by delay feedback control
• Random differential inequalities
• Stability analysis of stochastic delay differential equations with Lévy noise
• Synchronization criteria of Lur'e systems with time-delay feedback control
• On asymptotic convergence and boundedness of stochastic systems with time-delay
• Stability and boundedness of nonlinear hybrid stochastic differential delay equations
• Stability analysis for a class of stochastic delay nonlinear systems driven by \(G\)-Brownian motion
• Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control
• Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations
• Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control
• Delay dependent stability of highly nonlinear hybrid stochastic systems
• Delay-Dependent <formula formulatype="inline"><tex>$H_{\infty }$</tex> </formula> Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays
• Stabilization of Highly Nonlinear Hybrid Systems by Feedback Control Based on Discrete-Time State Observations
• Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control
• Stabilization of Hybrid Systems by Feedback Control Based on Discrete-Time State Observations
• Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching
• Robust Stability and Boundedness of Nonlinear Hybrid Stochastic Differential Delay Equations
• Stochastic Differential Equations with Markovian Switching

This page was built for publication: Stabilization by variable-delay feedback control for highly nonlinear hybrid stochastic differential delay equations