Finite-time annular domain stability of impulsive switched systems: mode-dependent parameter approach
Finite-time annular domain stability of impulsive switched systems: mode-dependent parameter approach
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脉冲切换系统的有限时间环形域稳定性：模式相关参数方法
DOI：
10.1080/00207179.2017.1396360
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发表时间：
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通讯作者：
严志国
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作者：
Lijun Gao;Fangmei Luo;严志国
摘要本文研究了脉冲切换系统的有限时间稳定性。利用模式相关参数方法和平均脉冲切换区间技术，建立了一般线性和非线性脉冲切换系统的有限时间环域稳定性和有限时间环域有界性条件.同时，分析了模态相关参数法相对于公共参数法的优越性。此外，我们考虑了不同的脉冲强度的影响，并得出一个保守性较小的结论。此外，我们将非线性脉冲切换系统的结论推广到线性脉冲切换系统，并基于耦合矩阵不等式给出了一个新的状态反馈控制器的充分条件。此外，对于含有外部扰动的系统，我们得到了有限时间环域有界的一个充分条件。最后，我们给出了两个例子来说明结果的有效性。
ABSTRACT This paper investigates the finite-time stability of impulsive switched systems. By applying mode-dependent parameter approach and average impulsive switched interval technique, the conditions that guarantee the finite-time annular domain stability and finite-time annular domain boundedness for general linear and nonlinear impulsive switched systems are established. Meanwhile, the superiority of mode-dependent parameter approach over common parameter approach is analysed. Also, we consider the effect of different impulsive strengths and draw a less conservative conclusion. Moreover, we extend the conclusion from nonlinear impulsive switched systems to linear impulsive switched systems, and a new sufficient condition for state feedback controllers is proposed on the basis of coupled matrix inequalities. Furthermore, for systems containing external disturbance, we obtain a sufficient condition of finite-time annular domain boundedness. Finally, we present two examples to illustrate the effectiveness of the results.