Finite-time stability of linear time-varying singular systems with impulsive effects

Authors: Zhao, Shouwei; Sun, Jitao; Liu, Li

Source: International Journal of Control, Volume 81, Number 11, November 2008 , pp. 1824-1829(6)

Publisher: Taylor and Francis Ltd

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Abstract:

In this paper, we introduce a new concept of finite-time stability of linear time-varying singular systems with impulses at fixed times, and present new results for the above-mentioned class of system in the form of sufficient conditions. A sufficient condition is given in terms of matrix inequalities, which gives the opportunity of fitting the finite-time control problem in the general framework via impulsive control. A numerical example is presented to illustrate the efficiency of the proposed result.

Keywords: finite-time stability; singular system; impulsive control

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170801898893

Affiliations: 1: Department of Mathematics, Tongji University, Shanghai, 200092, China

Publication date: 2008-11-01

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