Impulsive stabilization of two kinds of second-order linear delay differential equations.

DOI10.1016/j.jmaa.2003.11.002zbMath1047.34098OpenAlexW2094606452MaRDI QIDQ1426082

Xiang Li, Pei-xuan Weng

Publication date: 14 March 2004

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.2003.11.002

zbMATH Keywords

Lyapunov functionalsexponential stabilization by impulsessecond-order impulsive equations

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Control problems for functional-differential equations (34K35)

Related Items (12)

Periodic solutions of impulsive differential equations with piecewise alternately advanced and retarded argument of generalized type ⋮ Impulsive stabilization of second-order nonlinear delay differential systems ⋮ \(p\)th moment exponential stability of impulsive stochastic functional differential equations and application to control problems of NNs ⋮ Green's function for impulsive periodic solutions in alternately advanced and delayed differential systems and applications ⋮ The method of Lyapunov functionals and exponential stability of impulsive systems with time delay ⋮ Impulsive stability for systems of second order retarded differential equations ⋮ On generalized impulsive piecewise constant delay differential equations ⋮ Unnamed Item ⋮ Robust exponential stability of uncertain impulsive delay difference equations with continuous time ⋮ Impulsive stabilization of second-order delay differential equations ⋮ New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays ⋮ Existence and impulsive stability for second order retarded differential equations

Cites Work

• Asymptotic stability for impulsive differential systems
• Practical stabilization of control systems with impulse effects
• Impulsive stabilization and applications to population growth models
• Exponential stability of linear delay impulsive differential equations
• Impulsive stabilization of functional differential equations via Lyapunov functionals
• Impulsive stabilization of nonlinear systems
• Impulsive Stabilization of Linear Delay Differential Equations
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