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基于最小驻留时间法估计线性切换系统的分量最终界
引用本文:郭荣伟,王玉振.基于最小驻留时间法估计线性切换系统的分量最终界[J].控制与决策,2012,27(11):1729-1734.
作者姓名:郭荣伟  王玉振
作者单位:山东大学控制科学与工程学院;山东轻工业学院理学院
基金项目:国家自然科学基金项目(61074068,61034007,60774009);教育部高校博士点专项基金项目(20040422059);山东省自然科学基金项目(2010FM013)
摘    要:研究线性切换系统的最终界问题.首先,通过应用最小驻留时间法和分量最终界方法得到线性切换系统的分量最终界;然后,基于2-范数方法得到了估计线性切换系统最小驻留时间的新方法.与已有方法相比,该方法在某些情况下具有一定的优势,减少了估计的保守性.数值仿真结果验证了所得结论的正确性和有效性.

关 键 词:线性切换系统  最终界  2-范数  多重Lyapunov函数法  最小驻留时间  分量最终界法
收稿时间:2011/5/26 0:00:00
修稿时间:2011/9/21 0:00:00

Componentwise ultimate bound for switched linear systems by minimum
dwell time method
GUO Rong-wei,WANG Yu-zhen.Componentwise ultimate bound for switched linear systems by minimum
dwell time method[J].Control and Decision,2012,27(11):1729-1734.
Authors:GUO Rong-wei  WANG Yu-zhen
Affiliation:1(1.School of Control Science and Engineering,Shandong University,Ji’nan 250061,China;2.School of Science,Shandong Polytechnic University,Ji’nan 250353,China.)
Abstract:

The problem of ultimate bound for the switched linear systems is studied. Firstly, the componentwise ultimate
bound for the switched linear systems is obtained by using both the minimum dwell time method and the componentwise
ultimate bound method. Then, a novel method which can estimate the minimum dwell time for such switched systems
is proposed based on the 2-norm method. In the comparison with the previous methods, the obtained method has some
advantages over those in some cases, which reduces the conservative property of the estimation. Finally, a numerical
simulation results show the correctness and effectiveness of the obtained results.

Keywords:
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