Robust Stability Analysis for Autonomous Min-Max Systems
Robust Stability Analysis for Autonomous Min-Max Systems
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DOI：
10.3166/ejc.14.104-113
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Qianchuan Zhao;D. Zheng
中科院分区：
文献类型：
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作者：
Qianchuan Zhao;D. Zheng
最小-最大系统是众所周知的（最大、加）线性离散事件动态系统（DEDS）模型的自然扩展。他们的动机是最近对数字电路和通信网络的研究。在本文中，我们研究了一系列参数在区间内受到扰动的最小-最大系统的鲁棒稳定性。本着哈里托诺夫的精神，我们首先将鲁棒稳定性测试简化为参数空间顶点集的稳定性检查。然后，我们进一步将测试简化为从系统系列结构派生的子集。
Min-max systems are natural extensions of the well known (max,plus) linear discrete event dynamic system (DEDS) models. They are motivated by recent research on digital circuits and communication networks. In this paper, we study the robust stability of a family of min-max systems whose parameters are perturbed in intervals. In the spirit of Kharitonov, we first reduce the robust stability test to the check of stability on the vertex set of parameter space. We then further reduce the test to a subset derived from the structure of the system family.