| 时滞正系统全时滞稳定性的简单代数判别及其性质 |
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| 引用本文： | 吴冲锋.时滞正系统全时滞稳定性的简单代数判别及其性质[J].系统科学与数学,1993,13(1):028-032. |
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| 作者姓名： | 吴冲锋 |
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| 作者单位： | 上海交通大学系统工程研究所 上海200052
(吴冲锋)，上海交通大学系统工程研究所 上海200052(王浣尘) |
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| 摘 要： | 在社会经济系统中,广泛地存在着多重时滞的正系统.对于连续型时滞正系统的全时滞稳定问题,文献1]已给出简单而实用的代数判别方法.本文通过对离散型多重时滞正系统的深入研究,给出一个全时滞稳定的简单代数充要判别方法,并建立了时滞系统渐近稳定与时滞系统全时滞稳定之间的等价关系,避免了在稳定性判别中由于大量状态扩展所带来的困难.此外本文还建立了稳定性与正平衡点之间的等价关系,并讨论了系数
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A PRACTICAL ALGEBRAIC CRITERION FOR THE DELAYINDEPENDENT STABILITY OF A LINEAR POSITIVE SYSTEM WITH TIME DELAYS |
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| WU CHONG-FENG,WANG HUAN-CHEN.A PRACTICAL ALGEBRAIC CRITERION FOR THE DELAYINDEPENDENT STABILITY OF A LINEAR POSITIVE SYSTEM WITH TIME DELAYS[J].Journal of Systems Science and Mathematical Sciences,1993,13(1):028-032. |
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| Authors: | WU CHONG-FENG WANG HUAN-CHEN |
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| Institution: | (1)Institute of System Engineering,Shanghai Jiaotong University,200052;(2)Institute of System Engineering,Shanghai Jiaotong University,200052 |
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| Abstract: | In this paper,the linear positive system with time delays is studied.A simple and practi-cal necessary and sufficient criterion for the delay-independent stability of this system is ob-tained,and the equivalence among the delay-independent stability,the asymptotic stability andthe positive equilibrium point is established. |
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