An improved stability test and stabilisation of linear time-varying systems governed by second-order vector differential equations

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Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/52032

Title:	An improved stability test and stabilisation of linear time-varying systems governed by second-order vector differential equations
Authors:	Tung,SL;Juang,YT;Wu,WY;Shieh,WY
Contributors:	電機工程學系
Keywords:	LYAPUNOV STABILITY;MECHANICAL SYSTEMS
Date:	2011
Issue Date:	2012-03-28 10:13:45 (UTC+8)
Publisher:	國立中央大學
Abstract:	In this article, the problems of exponential stability analysis and stabilisation of linear time-varying systems described by a class of second-order vector differential equations are considered. Using bounding techniques on the trajectories of a linear time-varying system, the stability problem of the time-varying system is transformed to that of a time-invariant system and a new sufficient condition for the exponential stability is obtained. Moreover, the new criterion is proven to be superior to a test presented in the recent literature. Finally, the proposed criterion is applied to the exponential stabilisation problem via state feedback. The results are illustrated by several numerical examples.
Relation:	INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Appears in Collections:	[Department of Electrical Engineering] journal & Dissertation

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