Stability analysis of generalized impulsive functional differential equations

DOI10.1016/j.mcm.2011.11.008zbMath1255.34077OpenAlexW2054724195MaRDI QIDQ1933853

Xiaodi Li, Diwang Lin, Donal O'Regan

Publication date: 27 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.11.008

zbMATH Keywords

Lyapunov functiontime delayuniform stabilityglobal exponential stabilityRazumikhin techniqueimpulsive functional differential equations

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20)

Related Items

Globally exponential stability of delayed impulsive functional differential systems with impulse time windows ⋮ Stability of impulsive delayed linear differential systems with delayed impulses ⋮ Exponential stability of impulsive stochastic functional differential systems with delayed impulses ⋮ Stability analysis of impulsive stochastic functional differential equations with delayed impulses via comparison principle and impulsive delay differential inequality ⋮ Exponential stability for generalized stochastic impulsive functional differential equations with delayed impulses and Markovian switching ⋮ Review of stability and stabilization for impulsive delayed systems ⋮ New results on global exponential stability of impulsive functional differential systems with delayed impulses ⋮ Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses ⋮ Input-to-state stability of discrete-time delay systems with delayed impulses

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