线性时变切换系统的渐近稳定性研究

许珍惜1; 卜春霞2

线性时变切换系统的渐近稳定性研究

引用本文：许珍惜1,卜春霞2.线性时变切换系统的渐近稳定性研究[J].经济数学,2011,(3):107-110

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作者	单位
许珍惜1,卜春霞2	（1.河南理工大学高等教育研究所，河南焦作 454000，2.郑州大学数学系，河南郑州 450001）

中文摘要:考虑一类线性时变切换系统的渐近稳定性基于矩阵测试理论，文中给出线性时变切换系统在周期切换和等时切换下渐近稳定的充分条件，并通过仿真实例说明结论是正确的

中文关键词:线性时变切换系统周期切换等时切换渐近稳定

Asymptotic Stability of Time -varying Switched Linear Systems

Abstract:The asymptotic stability for a class of time -varying switched linear systems was studied. Based on the theory of matrix measure,the sufficient conditions for asymptotic stability of time -varying switched linear systems in the case of periodic switching sequence and equal -time -interval switching sequence were given,and two application examples were presented.

keywords:time -varying switched linear systems periodic switching sequence equal -time -interval switching sequence asymptotic stability

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