Boundedness of the solutions of impulsive differential systems with time-varying delay

DOI10.1016/S0096-3003(03)00712-4zbMath1062.34091OpenAlexW2071692010MaRDI QIDQ1827373

Jitao Sun, Yu Zhang

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00712-4

zbMATH Keywords

Lyapunov functionboundednessRazumikhin techniquetime-varying delayimpulsive

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45)

Related Items (16)

Stability of impulsive infinite delay differential equations ⋮ Boundedness of stochastic delay differential systems with impulsive control and impulsive disturbance ⋮ Improved global exponential stability for delay difference equations with impulses ⋮ Exponential ultimate boundedness and stability of impulsive stochastic functional differential equations ⋮ Impulsive control of time-delay systems using delayed impulse and its application to impulsive master-slave synchronization ⋮ Unnamed Item ⋮ Stability of impulsive delay differential equations with impulses at variable times ⋮ Impulsive stabilization of second-order delay differential equations ⋮ Eventual practical stability of impulsive differential equations with time delay in terms of two measurements ⋮ Strict stability of impulsive functional differential equations ⋮ Global mean‐square exponential stabilization of stochastic system with time delay via impulsive control ⋮ On exponential stability results for fuzzy impulsive neural networks ⋮ Strict stability of impulsive differential equations ⋮ The improvement of Razumikhin type theorems for impulsive functional differential equations ⋮ Global exponential stability of neutral-type impulsive neural networks with discrete and distributed delays ⋮ Global exponential stability results for neutral-type impulsive neural networks

Cites Work

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• Razumikhin technique for boundedness of the solutions of impulsive integrodifferential equations.
• Impulsive robust control of uncertain Luré systems
• New Razumikhin type theorems for impulsive functional differential equations
• On stability of perturbed impulsive differential systems
• Stability criteria for impulsive differential systems
• Perturbation theorems for systems with impulse effect
• Razumikhin techniques in impulsive functional differential equations
• Razumikhin type stability theorems for impulsive functional differential equations
• Less conservative conditions for asymptotic stability of impulsive control systems
• Impulsive control for the stabilization and synchronization of Lorenz systems
• Stability theorem for delay differential equations with impulses
• Uniform asymptotic stability of impulsive delay differential equations

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