Finite-time boundedness analysis of a class of linear discrete descriptor systems: An LMI approach

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.