| 一类含时变分布时滞的退化中立型系统的鲁棒稳定性(英文) |
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| 引用本文： | 杜珺,蒋威.一类含时变分布时滞的退化中立型系统的鲁棒稳定性(英文)[J].数学研究,2009,42(1). |
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| 作者姓名： | 杜珺 蒋威 |
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| 作者单位： | 1. 安徽大学数学科学学院,安徽,合肥,230039;淮南师范学院数学与计算科学系,安徽,淮南,232001
2. 安徽大学数学科学学院,安徽,合肥,230039 |
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| 基金项目： | 国家自然科学基金，KPMEC，the Program of Innovation Team of University of Anhui |
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| 摘 要： | 考虑含分布时滞的退化中立型系统的鲁棒稳定性.利用算子Ω的稳定性和线性矩阵不等式得到一个新的鲁棒稳定性判据,本判据将中立型时滞、时变离散时滞、时变分布时滞和退化中立型系统一起考虑,相比已有文献具有较低的保守性.利用Matlab可以验证本判据的有效性.
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| 关 键 词： | 退化中立型系统 分布时滞:线性矩阵不等式 积分不等式 稳定性 |
Robust Stability of Degenerate Neutral Systems with Time-varying Discrete and Distributed Delays |
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| Du Jun,Jiang Wei.Robust Stability of Degenerate Neutral Systems with Time-varying Discrete and Distributed Delays[J].Journal of Mathematical Study,2009,42(1). |
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| Authors: | Du Jun Jiang Wei |
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| Institution: | 1.School of Mathematical Science; Anhui University; Hefei Anhui 230039; 2.Department of Mathematics and Computational Science; Huainan Normal University; Huainan Anhui 232001); |
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| Abstract: | This paper concerns the stability and robust stability criteria of degenerate neutral systems with time-varying discrete and distributed delays. A method based on the stability of a operator Ω and linear matrix inequalities is presented that makes it easy to calculate both the upper stability bounds and the free weighting matrices. Since the criteria take the neutral-delay, discrete-delay, distributed-delay and degeneration into account, it is less conservative than previous methods. The Matlab LMI toolbox illustrates the improvement of the criteria. |
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| Keywords: | degenerate neutral systems time-varying distributed delay LMIs integral inequality stability |
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