An approach to analyze the stability of a class of hybrid systems with delay
An approach to analyze the stability of a class of hybrid systems with delay
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一种时滞混合系统稳定性分析方法
DOI：
10.1109/wcica.2004.1340777
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
Yonghuan Song
中科院分区：
文献类型：
--
作者：
G. Zheng;M. Tan;Yonghuan Song
提出了一类时滞混合系统的稳定性分析方法，其中连续演化过程中只存在有界时滞，而离散过渡过程是瞬时发生的。首先，一类混杂系统建模为一个混合自动机与延迟（HAD）。基于HAD模型，给出了平衡点稳定的充分条件。此外，对于混合系统的连续子系统均为具有时滞的线性时不变系统的情况，采用线性矩阵不等式（LMI）技术分析了稳定性。最后，一个数值例子来说明发展的结果。
This paper proposes an approach to analyze the stability of a class of hybrid systems with delay, where there only exists a bounded delay in continuous evolution but discrete transition occurs instantly. First, the class of hybrid systems is modeled as a hybrid automaton with delay (HAD). Based on the HAD model, the sufficient conditions of the stability for an equilibrium are presented. Furthermore, for the case where the continuous subsystems of the hybrid system are all linear time invariant systems with time delay, the linear matrix inequality (LMI) technique is employed to analyze the stability. Finally, a numerical example is presented to illustrate the developed results.