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Impulsive stabilization of a class of nonlinear system with bounded gain error
MA Tiedong * #,ZHAO Feiya
College of Automation, Chongqing University, Chongqing 400044
*Correspondence author
#Submitted by
Funding: Specialized Research Fund for the Doctoral Program of Higher Education(No.Grant: 20100191120025)
Opened online:31 December 2013
Accepted by: none
Citation: MA Tiedong,ZHAO Feiya.Impulsive stabilization of a class of nonlinear system with bounded gain error[OL]. [31 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4576685
This paper introduces impulsive gain error result from mechanical limitation or device restriction in practical application. Our new impulsive control method includes control gain error with an acceptable boundary is more practically applicable than previous existing impulsive analytical approaches. A sufficient criterion for global exponential stability of impulsive control system is derived without the need for precise impulsive gain by estimating impulsive differential inequality. The effectiveness of the proposed method is confirmed by theoretical analysis and numerical simulation.
Keywords:Impulsive control; Impulsive gain error; Exponential stability; Impulsive differential inequality

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