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Zbl 1148.93345
Zhao, Shouwei; Sun, Jitao; Liu, Li
Finite-time stability of linear time-varying singular systems with impulsive effects. (English)
[J] Int. J. Control 81, No. 11, 1824-1829 (2008). ISSN 0020-7179; ISSN 1366-5820/e

Summary: 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.

MSC 2000:: *93D99 Stability of control systems
93C05 Linear control systems
93C15 Control systems governed by ODE

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

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Zentralblatt MATH Berlin [Germany]