Exponential stability of stochastic functional differential equations with impulsive perturbations and Markovian switching

DOI10.1016/J.SYSCONLE.2023.105457zbMath1530.93422WikidataQ117220523 ScholiaQ117220523MaRDI QIDQ6103080

George Yin, Ky Quan Tran

Publication date: 26 June 2023

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

zbMATH Keywords

exponential stabilityimpulsive perturbationMarkovian switchingstochastic functional differential equation

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Perturbations in control/observation systems (93C73) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Exponential stability (93D23) Impulsive control/observation systems (93C27)

Related Items (3)

Numerical solutions of stochastic functional differential equations with impulsive perturbations and Markovian switching ⋮ A design of fuzzy sliding mode control for Markovian jumping system with different input matrices ⋮ Stabilization and destabilization of impulsive Markovian switching systems via periodic stochastic controls and impulsive controls

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching
• \(p\)th moment stability of impulsive stochastic delay differential systems with Markovian switching
• Global exponential stability of impulsive stochastic functional differential systems
• Hybrid switching diffusions. Properties and applications
• Stability analysis of impulsive functional differential equations
• Stability analysis for impulsive stochastic delay differential equations with Markovian switching
• Exponential stability for generalized stochastic impulsive functional differential equations with delayed impulses and Markovian switching
• A note on controllability of impulsive systems
• On stability of solutions of stochastic delay differential equations
• Exponential stability of impulsive stochastic differential equations with Markovian switching
• Stability of stochastic functional differential equations with random switching and applications
• Ergodic Control of Diffusion Processes
• New criteria for mean square exponential stability of stochastic delay differential equations
• Neural networks and physical systems with emergent collective computational abilities.
• New Criteria on $p$th Moment Input-to-State Stability of Impulsive Stochastic Delayed Differential Systems
• Stochastic Differential Equations with Markovian Switching

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