Abstract: It dealt with the controller design problem for switched neutral systems with two classes of uncertainties and time-varying delay in a range. Based on the average dwell time method, by choosing a piecewise Lyapunov-Krasovskii functional, delay-range-dependent corresponding sufficient conditions of the feedback delayed controllers were derived in terms of linear matrix inequalities. Moreover, much less conservative results was obtained. The effectiveness of the proposed robust control scheme was demonstrated by simulation examples.

Key words: Stabilization, Average dwell time, Delay-range-dependent, Linear matrix inequalities, Switched neutral systems

摘要： 研究了具有两类不确定性及区间时变时滞切换中立系统的控制器设计问题。基于平均驻留时间方法，利用分段Lyapunov-Krasovskii泛函，以线性矩阵不等式形式得到了依赖于区间时滞的控制器设计的充分条件，并且获得较小保守性结果。最后，通过仿真算例证实设计方法的有效性。

关键词: 鲁棒指数镇定, 平均驻留时间, 区间时滞依赖, 线性矩阵不等式, 切换中立系统