aDepartment of Electrical Engineering, National Kaohsiung, University of Applied Sciences, 415 Chien-Kung Road, Kaohsiung 807, Taiwan
bDepartment of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan
Abstract:
In this paper, a new robust stability condition is derived for uncertain discrete-time linear systems with convex polytopic uncertainties. The condition is expressed in terms of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope domain. It enables us to determine robust stability of uncertain systems easily by solving some LMIs. A rigorous proof is given to show that an interesting result appeared recently is a special case of the proposed condition. Numerical examples also demonstrate the merit of the present condition in the aspect of conservativeness over other results in the literature.