讨论一类含有时变时滞的连续时间切换奇异系统的一致有限时间稳定、有限时间有界和状态反馈镇定问题.在给定任意的切换规则下,运用多Lyapunov函数和平均驻留时间方法设计使得闭环系统一致有限时间稳定和有限时间有界的状态反馈控制器,同时给出基于线性矩阵不等式表示的控制器存在的充分条件.最后通过数值算例表明了所提出方法的合理性和有效性.
The issue of uniform finite-time stability, finite-time boundedness and state feedback stabilization for a class of continuous-time switched descriptor systems with time-varying delay is considered. Based on the multiple Lyapunov function and the average dwell-time approach, sufficient conditions for the existence of state feedback controllers in terms of linear matrix inequalities(LMIs) are given with arbitrary switching rules, which ensure that the closed-loop systems are finite- time stable and finite-time bounded respectively. Finally, a numerical example illustrates the reasonableness and effectiveness of the proposed method.