Delay-dependent stability condition for uncertain linear 2-D state-delayed systems

This paper addresses the problem of robust stability for uncertain two-dimensional systems with delays in the state. The uncertainty is assumed to be of norm-bounded form. To solve this problem, the Lyapunov second method is used. The resulting condition is written in terms of linear matrix inequalities and it is dependent on the size of delays. This fact allows us to reduce the conservatism in the stability analysis of two-dimensional systems with state delays. A illustrative example is given to illustrate the theoretical developments