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Sreten B. Stojanovic,Dragutin Lj. Debeljkovic,Milan A. Misic 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.4
The problem of finite-time stability for a class of linear discrete-time systems with state delay is studied. The Lyapunov-Krasovskii-like functional which is based on discrete convolutions of delayed state vector andtime-dependent discrete vector functions is used. In order to obtain much less conservative results, new sufficientcondition is derived in form of linear matrix inequalities. Numerical example is given to demonstrate the effectivenessof the proposed stability criterion. It was shown that the obtained results are less conservative than someexisting ones in the literature. A computer simulation was performed for the analysis of the dynamical behaviourof this system.