New delay-dependent robust stability of discrete singular systems with time-varying delay
New delay-dependent robust stability of discrete singular systems with time-varying delay
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DOI：
10.1109/wcica.2008.4593888
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发表时间：
2008-06
期刊：
影响因子：
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通讯作者：
Zhaoping Du;Zhanzhi Qiu;Qingling Zhang;Lili Liu
中科院分区：
文献类型：
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作者：
Zhaoping Du;Zhanzhi Qiu;Qingling Zhang;Lili Liu
考虑到随时间变化的延迟，离散奇异系统的稳健稳定性。提出了新的延迟依赖性稳定性标准，这些标准取决于最小和最大延迟边界。对于离散的奇异时间变化系统，获得了严格的延迟依赖性线性矩阵不等式（LMI）条件，是规则的，因果关系和稳定的。还以LMI的方式获得并表达了不确定离散奇异时变系统的稳健稳定性的结果。给出了数值示例以证明所提出方法的适用性。
The robust stability of discrete singular systems with time-varying delay is considered. New delay-dependent stability criteria are proposed, which are dependent on the minimum and maximum delay bounds. A strict delay-dependent linear matrix inequality (LMI) condition is obtained for a discrete singular time-varying system to be regular, causal and stable. The result on robust stability of uncertain discrete singular time-varying systems is also obtained and expressed in terms of LMIs. Numerical examples are given to demonstrate the applicability of the proposed method.