Exponential stability of impulsive stochastic functional differential systems with delayed impulses

DOI10.1155/2013/548712zbMath1271.93169OpenAlexW4252381623WikidataQ58917110 ScholiaQ58917110MaRDI QIDQ370038

Fengqi Yao, Pei Cheng, Fei Qi Deng

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/548712

zbMATH Keywords

exponential stabilityuniform stabilitygeneralized impulsive stochastic functional differential systemspiecewise continuous Lyapunov functionsRazumikhin techniques

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Lyapunov and storage functions (93D30) Stochastic stability in control theory (93E15)

Related Items

On input-to-state stability of impulsive stochastic systems ⋮ Boundedness of stochastic delay differential systems with impulsive control and impulsive disturbance ⋮ Stability of stochastic differential delay systems with delayed impulses ⋮ On input-to-state stability of impulsive stochastic systems with time delays ⋮ Stability analysis of impulsive stochastic functional differential equations with delayed impulses via comparison principle and impulsive delay differential inequality

Cites Work

• Unnamed Item
• Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay
• Impulsive stabilization of stochastic functional differential equations
• New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays
• Global exponential stability of impulsive differential equations with any time delays
• Optimal impulsive space trajectories based on linear equations
• On stability in terms of two measures for impulsive systems of functional differential equations
• The method of Lyapunov functionals and exponential stability of impulsive systems with time delay
• Stability of impulsive functional differential equations
• Robust stability and \(H_\infty \)-control of uncertain impulsive systems with time-delay
• Robust delayed-state-feedback stabilization of uncertain stochastic systems
• Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft
• Impulsive stabilization of functional differential equations with infinite delays
• Stability of impulsive control systems with time delay
• Impulsive stabilization and control of chaotic system.
• Stability analysis of generalized impulsive functional differential equations
• Robust exponential stability and delayed-state-feedback stabilization of uncertain impulsive stochastic systems with time-varying delay
• Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method
• Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems
• Asymptotical p -Moment Stability of Stochastic Impulsive Differential Equations and Its Application in Impulsive Control
• Impulsive stabilization and synchronization of a class of chaotic delay systems
• Impulsive control of a Lotka-Volterra system
• Analyzing the Robustness of Impulsive Synchronization Coupled by Linear Delayed Impulses
• Razumikhin-Type Theorems on $p$th Moment Exponential Stability of Impulsive Stochastic Delay Differential Equations
• Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks