The state feedback control for 2-D discrete time delays system subject to state saturation

The memory state feedback control problem is investigated for a class of state saturation 2-D discrete time delay systems described by the Roesser model (R-model). The delays are allowed to be time varying functions with known bounds. By introducing symmetric positive definite matrix P which is row diagonally dominant with nonnegative diagonal elements and constructing a nonnegative scalar β, a sufficient condition is presented to guarantee the global asymptotic stability of the closed-loop system by using delay-dependent 2-D discrete Lyapunov-Krasovskii functional. Subsequently, the criterion is converted into the linear matrix inequalities (LMIs) which can be easily solved. Finally, the numerical example is shown to illustrate the feasibility and effectiveness of the propose approach.