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.

中文翻译：

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二维混合连续离散Roesser模型的鲁棒区域稳定

本文研究了一类二维混合Roesser模型的渐近区域稳定问题。基于对参数相关线性矩阵不等式（LMI）多项式解的分析，得出了基于LMI的区域稳定控制器存在的充分条件。此外，还给出了鲁棒控制器来稳定具有不确定性的系统系数矩阵的系统。最后，提供了一些数值模拟来说明本文提出的结果的有效性和可行性。