Stability and Robustness Analysis for Switched Systems with Time-Varying Delays

Stability and Robustness Analysis for Switched Systems with Time-Varying Delays
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DOI：
10.1137/16m1104895
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发表时间：
2018-01
期刊：
SIAM J. Control. Optim.
影响因子：
--
通讯作者：
F. Mazenc;Michael A. Malisoff;H. Özbay
F. Mazenc;Michael A. Malisoff;H. Özbay
中科院分区：
其他
文献类型：
--
作者：
F. Mazenc;Michael A. Malisoff;H. Özbay

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提出了一种新的方法来分析具有不确定性和时变时滞的非线性切换时变系统的稳定性和鲁棒性。允许时滞是不连续的(但要求是分段连续的)，并且在已知上界的情况下可以任意长。该方法利用Halanay不等式的适应性和基于轨迹的方法，设计切换控制器以镇定具有时变时滞的线性时变系统。
A new technique is presented for the stability and robustness analysis of nonlinear switched time-varying systems with uncertainties and time-varying delays. The delays are allowed to be discontinuous (but are required to be piecewise continuous) and arbitrarily long with known upper bounds. The technique uses an adaptation of Halanay's inequality and a trajectory-based technique, and is used for designing switched controllers to stabilize linear time-varying systems with time-varying delays.