ABSTRACT This paper addresses the finite-time stability problem of linear switched singular systems with finite-time unstable subsystems. Dynamic decomposition techniques are used to transform such systems into equivalent one that is a reduced-order switched normal systems. Based on the mode-dependent average dwell time (MDADT) switching signal, new sufficient conditions are presented to guarantee the linear switched singular systems with finite-time unstable subsystems being finite-time stability, finite-time bounded and finite-time stabilization. Finally, a numerical example is employed to verify the efficiency of the preceding method.

中文翻译：

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具有有限时间不稳定子系统的线性切换奇异系统的新有限时间稳定性条件

摘要 本文解决了具有有限时间不稳定子系统的线性切换奇异系统的有限时间稳定性问题。动态分解技术用于将此类系统转换为等效的降阶切换正规系统。基于模态相关平均驻留时间（MDADT）切换信号，提出了新的充分条件来保证具有有限时间不稳定子系统的线性切换奇异系统具有有限时间稳定性、有限时间有界和有限时间稳定性。最后，通过数值例子验证了上述方法的有效性。