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针对一类由局部状态空间(LSS) Fornasini-Marchesini(FM)第二模型描述的,具有时变状态滞后的2-D离散系统,其中时变滞后项的上、下界均为正实数,研究了其稳定性和控制综合问题.首先,利用Lyapunov-Krasovski泛函方法,提出了系统的稳定性准则.再根据这一准则,分别设计状态反馈和动态输出反馈控制器保证系统的稳定性.状态反馈控制律和输出反馈矩阵可由线性矩阵不等式(LMI)求得.最后,通过数值算例说明所得结果的有效性.“,”The stability and stabilization problems for a class of two - dimensional( 2-D )discrete systems with time - varying state delays are addressed.The 2-D systems are described by a local statespace(LSS) Fornasini - Marchesini (FM) second model,where the time-varying state delays are assumed to vary in an interval with known positive real upper and lower bounds.By using the well-known Lyapunov-Krasovski functional approach,a stability criterion is established.Then,a state feedback controller and a dynamic output feedback controller are designed to assure the stability of 2-D time - varying systems,respectively.The state feedback gain and output feedback matrices can be obtained by solving linear matrix inequalities(LMIs). Finally,numerical examples are given to demonstrate the effectiveness of our results.