Exponential stability of singularly perturbed impulsive delay differential equations

DOI10.1016/J.JMAA.2006.05.082zbMath1115.34073OpenAlexW1972408270MaRDI QIDQ864631

Wei Zhu, Dao Yi Xu, Chun-De Yang

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.082

zbMATH Keywords

impulsessingularly perturbed differential equations

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Singular perturbations of functional-differential equations (34K26)

Related Items (8)

Global exponential \(p\)-stability of stochastic non-autonomous Takagi-Sugeno fuzzy cellular neural networks with time-varying delays and impulses ⋮ Coordination of networked delayed singularly perturbed systems with antagonistic interactions and switching topologies ⋮ Asymptotic behavior analysis of complex-valued impulsive differential systems with time-varying delays ⋮ LMI-based stability for singularly perturbed nonlinear impulsive differential systems with delays of small parameter ⋮ Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays ⋮ Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect ⋮ A new inequality of \(\mathcal{L}\)-operator and its application to stochastic non-autonomous impulsive neural networks with delays ⋮ PID controller singularly perturbing impulsive differential equations and optimal control problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
• Existence and continuability of solutions for differential equations with delays and state-dependent impulses
• Exponential stability of the solutions of singularly perturbed systems with impulse effect
• On delay differential equations with impulses
• Impulsive delay differential inequality and stability of neural networks
• Matrix Analysis
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• On the Exponential Stability of Singularly Perturbed Systems
• Razumikhin techniques in impulsive functional differential equations
• Exponential Stability of Singularly Perturbed Systems with Time Delay
• Existence, uniqueness and boundedness results for impulsive delay differential equations
• Oscillation and Chaos in Physiological Control Systems
• A simple criterion for global exponential stabilizability of nonlinear multiple time-delay singularly perturbed systems

This page was built for publication: Exponential stability of singularly perturbed impulsive delay differential equations