New finite-time stability conditions of linear discrete switched singular systems with finite-time unstable subsystems

New finite-time stability conditions of linear discrete switched singular systems with finite-time unstable subsystems
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具有有限时间不稳定子系统的线性离散切换奇异系统的新有限时间稳定性条件

DOI:
10.1016/j.jfranklin.2019.03.045
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发表时间:
2020-01
期刊:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Zhu Xunlin
Zhu Xunlin
中科院分区:
其他
文献类型:
--
作者:
Wei Jumei;Zhang Xiuxiu;Zhi Huimin;Zhu Xunlin

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研究了具有有限时间不稳定子系统的线性离散切换奇异系统的有限时间稳定性问题。利用动态分解技术,可以将原始切换奇异系统转化为等价的降阶切换正规系统。对于线性离散切换奇异系统,基于模态平均驻留时间(MADAT)切换信号,提出了新的充分条件来保证所考虑的具有有限时间不稳定子系统的系统具有有限时间稳定性、有限时间有界。最后用两个数值例子验证了上述方法的有效性。
The finite-time stability problem of linear discrete switched singular systems with finite-time unstable subsystems is studied in this paper. By using dynamic decomposition technique, the original switched singular systems can be transformed into equivalent one that is a reduced-order switched normal systems. For linear discrete switched singular systems, based on the mode-dependent average dwell time (MADAT) switching signal, new sufficient conditions are presented to guarantee the considered systems with finite-time unstable subsystems being finite-time stability, finite-time bounded. At last, two numerical examples is employed to verify the efficiency of the preceding method.
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