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一类多平衡点线性切换系统稳定区域的估计

郭荣伟 王玉振

控制理论与应用2012,Vol.29Issue(4):409-414,6.
控制理论与应用2012,Vol.29Issue(4):409-414,6.

一类多平衡点线性切换系统稳定区域的估计

Estimation of stability region for a class of switched linear systems with multiple equilibrium points

郭荣伟 1王玉振2

作者信息

  • 1. 山东大学控制科学与控制工程学院,山东济南250061 山东轻工业学院理学院,山东济南250353
  • 2. 山东大学控制科学与控制工程学院,山东济南250061
  • 折叠

摘要

Abstract

We investigate the estimation of the stability region of a class of switched linear systems with multiple equilibrium points,and put forward a number of new results in this research.Using the component-wise ultimate-bound method,we estimate the stability region for a switched linear system with multi-equilibrium points when the system is switching around any switching path or around switching paths with dwell time not less than the minimum dwell time.In comparison with the existing results,the obtained estimate of the stability region is more precise and less conservative in the estimation property.Numerical simulation of an illustrative example shows the correctness and effectiveness of the proposed method.

关键词

多平衡点切换系统/区域稳定分析/稳定区域/分量最终界法

Key words

multi-equilibrium switched system/regional stability analysis/stability region/component-wise ultimatebound method

分类

信息技术与安全科学

引用本文复制引用

郭荣伟,王玉振..一类多平衡点线性切换系统稳定区域的估计[J].控制理论与应用,2012,29(4):409-414,6.

基金项目

国家自然科学基金资助项目 ()

教育部高校博士点专项资助项目 ()

山东省自然科学基金资助项目 ()

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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