| 线性广义系统时滞相关渐近稳定的一个新判据 |
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| 引用本文： | 田力,刘国彩,鞠培军.线性广义系统时滞相关渐近稳定的一个新判据[J].数学的实践与认识,2011,41(2). |
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| 作者姓名： | 田力 刘国彩 鞠培军 |
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| 作者单位： | 泰山学院,数学与系统科学系,山东,泰安,271021 |
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| 摘 要： | 研究线性广义时滞系统时滞相关的渐近稳定性问题.利用Lyapunov-Krasovskii泛函理论和自由权矩阵方法,得到严格线性矩阵不等式(LMI)形式的时滞相关渐近稳定新判据,并没有采用模型变换和界定交叉项方法.最后通过数值算例验证新判据的有效性.
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| 关 键 词： | 广义系统 时滞相关 渐近稳定 线性矩阵不等式(LMI) |
New Delay Dependent Asymptotical Stability Criteria for Linear Singular Systems |
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| TIAN Li,LIU Guo-cai,JU Pei-jun.New Delay Dependent Asymptotical Stability Criteria for Linear Singular Systems[J].Mathematics in Practice and Theory,2011,41(2). |
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| Authors: | TIAN Li LIU Guo-cai JU Pei-jun |
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| Institution: | TIAN Li,LIU Guo-cai,JU Pei-jun (Department of Mathematics and System Science,Taishan University,ShanDong Tai'an,271021,China) |
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| Abstract: | A new delay dependent asymptotical stability for a class of linear singular systems is derived in terms of strict linear matrix inequality(LMI) by using a Lyapunov-Krasovskii functional and the free-weighting matrices approach.Neither model transformation nor bounding technique for cross terms has been given to derive the criteria.Numerical example illustrates the effectiveness of the approach and the improvement over previous methods. |
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| Keywords: | singular systems delay dependent asymptotical stability linear matrix inequality(LMI) |
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