Delay-dependent stability of 2D state-delayed linear systems

This paper addresses the problem of stability for two-dimensional systems with delays in the state. 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 simulation example is given to illustrate the theoretical developments