Title :
Finite-time boundedness analysis of a class of linear discrete descriptor systems: An LMI approach
Author :
Stojanovic, S.B. ; Debeljkovic, Dragutin Lj ; Nestorovic, Tamara N. ; Antic, Dragan S.
Author_Institution :
Dept. of Math. & Eng. Sci., Univ. of Nis, Leskovac, Serbia
Abstract :
In this paper, the class of linear discrete-time descriptor systems with time-varying exogenous disturbance are considered. Three sufficient conditions for the finite time boundedness and finite-time stability of linear discrete-time descriptor systems are presented. The stability conditions are reduced to a feasibility problem involving linear matrix inequalities. A numerical example has been provided to show the advantage of derived results.
Keywords :
discrete time systems; linear matrix inequalities; linear systems; stability; time-varying systems; feasibility problem; finite time boundedness; finite-time boundedness analysis; finite-time stability; linear discrete-time descriptor systems; linear matrix inequalities; time-varying exogenous disturbance; Control systems; Numerical stability; Stability criteria; Sufficient conditions; Symmetric matrices; Time-varying systems;
Conference_Titel :
Systems and Control (ICSC), 2013 3rd International Conference on
Conference_Location :
Algiers
Print_ISBN :
978-1-4799-0273-6
DOI :
10.1109/ICoSC.2013.6750991