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考虑具有区间时变时滞二维(2-D)离散系统的时滞相关稳定性和控制问题.选取含有时滞上下界的Lyapunov函数,对其差分时考虑到所有项,结合2-DJensen不等式,由线性矩阵不等式给出系统新的时滞相关稳定性准则.准则中含有更少的待定变量,降低了数值计算负担,并且比一些已有结果具有更小的保守性.基于稳定性准则,由状态反馈实现了系统的稳定控制.最后,通过数值算例表明了所得结果的有效性和优越性.
Consider the delay-dependent stability and control of two-dimensional (2-D) discrete-time systems with interval time-varying delays. The Lyapunov functions with upper and lower bounds of the time-delay are selected and all the terms are taken into account for their differences. Combining the 2-DJensen inequality , The new delay-dependent stability criterion is given by the linear matrix inequality (LMI). The criterion contains fewer variables to be determined, which reduces the computational burden and is less conservative than some existing ones.Based on the stability criterion, The steady state control of the system is realized by the state feedback.Finally, numerical examples show the effectiveness and superiority of the results obtained.