Stabilization of a Class of Switched Linear Neutral Systems Under Asynchronous Switching
Stabilization of a Class of Switched Linear Neutral Systems Under Asynchronous Switching
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DOI：
10.1109/tac.2013.2250076
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发表时间：
2013-03
影响因子：
6.8
通讯作者：
Yue-E. Wang;Jun Zhao;B. Jiang
中科院分区：
文献类型：
--
作者：
Yue-E. Wang;Jun Zhao;B. Jiang
本技术说明涉及一类切换线性中性系统的稳定性问题，其中状态和状态导数均出现时间延迟。另外，切换控制器的切换信号还涉及时间延迟，这使得控制器和系统之间的切换是异步的。基于新的积分不等式和分段Lyapunov-Krasovskii泛函技术，提出了平均驻留时间（ADT）方案下切换中性系统全局均匀指数稳定的条件。然后，建立控制器相应的可解性条件。最后，给出一个数值例子来说明所提出理论的有效性。
This technical note concerns the stabilization problem for a class of switched linear neutral systems in which time delays appear in both the state and the state derivatives. In addition, the switching signal of the switched controller also involves time delays, which makes the switching between the controller and the system asynchronous. Based on a new integral inequality and the piecewise Lyapunov-Krasovskii functional technique, a condition for global uniform exponential stability of the switched neutral system under an average dwell time (ADT) scheme is proposed. Then, the corresponding solvability condition for the controller is established. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.