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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)

Robust Stability of Degenerate Neutral Systems with Time-varying Discrete and Distributed Delays

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【作者】 杜珺蒋威

【Author】 Du Jun~(1,2) Jiang Wei~2 (1.School of Mathematical Science,Anhui University,Hefei Anhui 230039; 2.Department of Mathematics and Computational Science,Huainan Normal University,Huainan Anhui 232001)

【机构】 安徽大学数学科学学院淮南师范学院数学与计算科学系

【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.

【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 operatorΩand 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.

【基金】 project supported by NNSFC(10771001);KPMEC(205068)and the Program of Innovation Team of University of Anhui
  • 【文献出处】 数学研究 ,Journal of Mathematical Study , 编辑部邮箱 ,2009年01期
  • 【分类号】O175.13
  • 【被引频次】6
  • 【下载频次】85
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