AN LMI APPROACH TO ROBUST STABILITY OF UNCERTAIN DISCRETE SINGULAR TIME‐DELAY SYSTEMS
AN LMI APPROACH TO ROBUST STABILITY OF UNCERTAIN DISCRETE SINGULAR TIME‐DELAY SYSTEMS
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DOI：
10.1111/j.1934-6093.2006.tb00252.x
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发表时间：
2006-03
影响因子：
2.4
通讯作者：
X. Ji;H. Su;J. Chu
中科院分区：
文献类型：
--
作者：
X. Ji;H. Su;J. Chu
研究了不确定离散广义时滞系统的鲁棒稳定性分析问题。通过将标称系统分解为慢子系统和快子系统，给出了离散广义时滞系统正则、因果和稳定的线性矩阵不等式（LMI）条件.在此基础上，得到了不确定离散广义时滞系统鲁棒稳定性的LMI判据。两个数值例子证明了所提出的方法的可行性。
The problem of robust stability analysis for uncertain discrete singular time‐delay systems is investigated in this paper. By decomposing the nominal system into slow and fast subsystems, a linear matrix inequality (LMI) condition is proposed for a discrete singular time‐delay system to be regular, causal and stable. Based on this, an LMI criterion is obtained for robust stability of an uncertain discrete singular time‐delay system. Two numerical examples are provided to demonstrate the feasibility of the proposed approach.