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时延离散广义系统稳定半径的研究

Stability radius of discrete-time descriptor systems with time-delay
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摘要 研究了时延离散广义系统在任意仿射参数扰动下的鲁棒稳定性问题.首先定义时延离散广义系统的稳定半径,同时给出时延离散广义系统稳定半径的计算公式.最后,对于系统正则指数为1的情况,给出了求解方法. In this paper,robust stability of discrete-time descriptor systems with time-delay under arbitrary affine parameter perturbations is studied.The stability radius of discrete-time descriptor systems with time-delay is defined.Then formula for the stability radius is given.At last,a solution method is put forward in case of regular systems index equal to one.
作者 李颖 林洪生
机构地区 沈阳工程学院基础教学部
出处 《沈阳工程学院学报（自然科学版）》 2010年第3期277-280,共4页 Journal of Shenyang Institute of Engineering:Natural Science
关键词 稳定半径 时滞 离散广义系统 矩阵束 stability radius time-delay generalized discrete time system matrix pencil
分类号 O231.9 [理学—运筹学与控制论]
  • 相关文献

参考文献8

  • 1Byers R. A bisection method for measuring the distance of a stable matrix to the unstable matrices~ J~. SIAM Journal,On Scientific and Statistical Computing, 1988:875 -881.
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  • 5林洪生,李颖,刘严.离散广义系统稳定半径的研究[J].沈阳工程学院学报（自然科学版）,2009,5(4):394-396. 被引量：1
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二级参考文献8

  • 1Byers R, Nichols N K. On the stability radius of generalized state - space systems, Linear Algebra-App [J]. Institute for Mathematics and Applications, 1992:988.
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  • 5Campbell S L. Singular Systems of Differential Equations [M]. London: Pitman, 1980.
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  • 8Golub G H, Van Loan C. Matrix Computations [ M ]. Baltimore : The Johns Hopkins Press, 1983.
沈阳工程学院学报（自然科学版）
2010年 第3期

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