Stability analysis for systems with impulse effects
type: Item
instance of: scholarly article
title: Stability analysis for systems with impulse effects
zbMATH Open document ID: 1128.34034
published in: International Journal of Theoretical Physics
publication date: 2007-03-15T00:00:00Z
review text: The authors consider the impulsive differential equation \[ \frac {dx} {dt}=f(t,x),\;t\neq\tau_k \] \[ \Delta x=I_k(x),\;t=\tau_k,\;f(0,t)= I_k(0)=0\text{ for }t\in \mathbb{R}^+,k=1,2,\dots \] in the space \(X=\mathbb{R}^n\). Sufficient conditions for the uniform asymptotic stability of the equilibrium point \(x=0\) are derived.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 5134064
zbMATH Keywords: nonlinear impulse differential equations
zbMATH Keywords: stability
author: Jianhua Shen
author: Zhujun Jing
reviewed by: S. Kostadinov
MaRDI profile type: Publication
full work available at URL: s10773-006-9107-2
OpenAlex ID: W2142554973
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DOI: 10.1007/S10773-006-9107-2
description: scientific article; zbMATH DE number 5134064