离散线性循环切换时滞系统驻留时间的确定

Specification of dwell time in discrete-time linear switched systems with state delays under cyclic switching

研究了一类在循环切换律下,子系统含有状态时滞的离散时间线性切换系统的稳定性和子系统驻留时间确定的问题.通过在每个子系统上建立Lyapunov函数,采用多Lyapunov函数方法,并基于线性矩阵不等式技术,得到系统渐进稳定的充分性条件,进而根据稳定性条件对每个子系统驻留时间的约束,得出计算子系统可行驻留时间值的数值搜索算法,仿真算例验证了算法的有效性.

Under cyclic switching, the stability of a class of discrete time linear switched systems with state delays in subsystems and the specification of dwell time of the subsystems are studied. By constructing Lyapunov functional on each subsystem respectively and using muhi-Lyapunov functions method, the stability sufficient conditions are obtained based on linear matrix inequalities （LMIs）. Then with the constraints on the dwell time of each subsystem in the stability criteria, a numerical searching algorithm is explored to compute the feasible values of dwell time of the subsystems. The validity of the algorithm is illustrated in a numerical example.