Stability analysis of switched linear singular systems
Stability analysis of switched linear singular systems
复制标题
切换线性奇异系统的稳定性分析
DOI：
10.1016/j.automatica.2013.02.002
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发表时间：
2013-05-01
期刊：
影响因子：
6.4
通讯作者：
Zhai, Guisheng
中科院分区：
文献类型：
--
作者：
Zhou, Lei;Ho, Daniel W. C.;Zhai, Guisheng
研究了切换线性连续时间奇异系统的稳定性分析问题。首先，基于等效动力学分解形式，对切换奇异系统的状态跳跃进行了细化描述，指出整体状态跳跃是由两次连续状态跳跃引起的；其次，给出了具有稳定子系统的切换奇异系统指数稳定的充分条件。结果表明，系统的稳定性完全由切换的降阶动态子系统和切换律引起的状态跳变决定。然后，得到了既有稳定子系统又有不稳定子系统的切换奇异系统的充分稳定条件。最后，通过数值算例说明了所提方法的有效性。(C) 2013 Elsevier Ltd.版权所有。
This paper addresses the stability analysis problem for switched linear continuous-time singular systems. First, based on the equivalent dynamics decomposition form, a refined description for state jumps of the switched singular system is presented, which indicates that overall state jumps are resulted by two sequential state jumps. Second, sufficient conditions for exponential stability of the switched singular system with stable subsystems are presented. It is shown that the stability property of the system is completely determined by the switched reduced-order dynamic subsystem and the switching law induced state jumps. Then, a sufficient stability condition for the switched singular system with both stable and unstable subsystems is obtained. Finally, numerical examples are presented to illustrate the effectiveness of the proposed approach. (C) 2013 Elsevier Ltd. All rights reserved.