中文摘要：

研究一类输入中带有两个加性时变时滞的切换系统的异步H_∞控制问题。控制器切换信号的时变延时导致子系统和控制器切换不同步。针对两类延时,基于平均驻留时间（ATD）方法和合并切换信号技术,构造仅在系统模态和控制器模态匹配时下降的Lyapunov-Krasovskii（L-K）泛函。结合两种积分不等式,充分利用加性时滞信息的基础上引入较少的松弛矩阵,避免耦合线性矩阵不等式计算复杂,得到一种保守性较低的状态反馈控制器。系统在相应的平均驻留时间内的任意切换信号下异步H_∞问题可解。最后数值例子验证了结论的有效性。

英文摘要：

The asynchronous H∞control is studied for a class of switched systems with two input additive time- varying delays. The time- varying delay in the switching signal of the controllers causes the asynchronous switching between the subsystems and the controllers. According to two types of delay,based on the modes of average dwell time（ ADT） method and the merging switching signal technique,a Lyapunov- Krasovskii（ L- K） function is constructed to descent only when the subsystems and the controllers are mode matching. By combining two kinds of the integral inequality,less slack matrices are introduced based on the full use of more additive delay information,avoiding coupled linear matrix inequalities technique calculation complexity,a less conservative state feedback controller is obtained. The asynchronous H∞control of the system is solved under arbitrary switching signal satisfying the corresponding ADT scheme. Finally,a numerical example verifies the effectiveness of the conclusion.