Variational Lyapunov method and stability analysis for impulsive delay differential equations

DOI10.1016/S0898-1221(03)90235-5zbMath1053.34073MaRDI QIDQ1876488

Yongrui Duan, Shunian Zhang, Chunhai Kou

Publication date: 20 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

InstabilityStabilityImpulsive delay differential equationsTwo measuresVariational Lyapunov method

Mathematics Subject Classification ID

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

Related Items (6)

Stability criteria in terms of two measures for functional differential equation with variable‐time impulses ⋮ Stability in terms of two measures for perturbed impulsive delay integro-differential equations ⋮ Stability of impulsive stochastic functional differential systems in terms of two measures via comparison approach ⋮ Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method ⋮ Periodic Duffing delay equations with state dependent impulses ⋮ Periodic Liénard-type delay equations with state-dependent impulses

Cites Work

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• Stability criteria for impulsive differential equations in terms of two measures
• Generalized variation of parameters and stability of impulsive systems
• Razumikhin techniques in impulsive functional differential equations
• Impulsive stabilization of nonlinear systems
• A new approach to the stability theory of functional differential systems

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