A study on finite-time stability of switched linear system with finite-time unstable subsystems
A study on finite-time stability of switched linear system with finite-time unstable subsystems
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DOI：
10.23919/chicc.2017.8027326
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发表时间：
2017-07
期刊：
影响因子：
--
通讯作者：
Jialin Tan;Weiqun Wang;Juan Yao
中科院分区：
文献类型：
--
作者：
Jialin Tan;Weiqun Wang;Juan Yao
本文重新研究了具有有限时间不稳定子系统的线性切换系统的稳定性与镇定问题。与以往的工作不同，本文设计的开关信号具有模式相关的平均驻留时间（MDADT）特性。给出了子系统有限时间不稳定的线性切换系统有限时间稳定的充分条件。然后，基于所得结果，给出了线性切换系统的镇定条件，以保证底层系统是有限时间稳定的。通过数值算例验证了上述方法的有效性。
In this paper, the problems of stability and stabilization for switched linear systems with finite-time unstable subsystems are revisited. Differ from the previous work, switching signal are designed with mode-dependent average dwell time (MDADT) property. Sufficient conditions are given to guarantee the switched linear systems with subsystems that are finite-time unstable being finite-time stability. Then, based on the results obtained, stabilization conditions for switched linear systems are presented to guarantee the underlying systems to be finite-time stability. A numerical example is employed to verify the efficiency of the preceding method.