Robust regional stabilization for the two-dimensional mixed continuous-discrete-time Roesser models

This paper addressed the problem of asymptotic regional stabilization of a class of two-dimensional mixed Roesser models. Based on the analysis of the polynomial solution of the parameter dependent linear matrix inequality (LMI), the sufficient condition for the existence of the regional stabilization controller is obtained in terms of LMI. Moreover, the robust controller is also given to stabilize the systems with uncertainties in the coefficient matrices of the system. Finally, several numerical simulations are provided to illustrate the efficiency and feasibility of the proposed results in this paper.