Impulsive exponential stabilization of functional differential systems with infinite delay
type: Item
instance of: scholarly article
title: Impulsive exponential stabilization of functional differential systems with infinite delay
zbMATH Open document ID: 1195.34121
DOI: 10.1155/2009/289480
author: Xiaoli Sun
author: Xiaodi Li
published in: Discrete Dynamics in Nature and Society
publication date: 2010-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/233213
review text: Summary: By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result.
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 5701461
MaRDI profile type: Publication
OpenAlex ID: W2100064773
Wikidata QID: Q58647440
cites work: Q3993076
cites work: W-stability theorems of nonlinear impulsive functional differential systems
cites work: Boundedness for impulsive delay differential equations and applications to population growth models.
cites work: New results on pulse phenomena for impulsive differential systems with variable moments
cites work: Exponential stability for impulsive delay differential equations by Razumikhin method
cites work: Global exponential stability for a class of neural networks
cites work: Razumikhin-type theorems on exponential stability of impulsive delay systems
cites work: Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems
cites work: Razumikhin type stability theorems for impulsive functional differential equations
cites work: Existence, uniqueness and boundedness results for impulsive delay differential equations
cites work: Stability results for impulsive functional differential equations with infinite delays
cites work: Uniform asymptotic stability and global stability of impulsive infinite delay differential equations
cites work: Stability of impulsive infinite delay differential equations
cites work: Stability properties for Hopfield neural networks with delays and impulsive perturbations
cites work: Global linearized stability theory for delay differential equations
cites work: Stability results for systems described by coupled retarded functional differential equations and functional difference equations
cites work: Impulsive stabilization of second-order nonlinear delay differential systems
cites work: The improvement of Razumikhin type theorems for impulsive functional differential equations
cites work: Impulsive stabilization of second-order delay differential equations
cites work: Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method
cites work: Impulsive stabilization of functional differential equations with infinite delays
cites work: Impulsive stabilization and applications to population growth models
cites work: Impulsive stabilization for a class of neural networks with both time-varying and distributed delays
description: scientific article; zbMATH DE number 5701461