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Finite-time stability of linear time-varying singular systems with impulsive effects. (English) Zbl 1148.93345
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:
93D99Stability of control systems
93C05Linear control systems
93C15Control systems governed by ODE