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多时滞线性切换系统的稳定性及其反馈镇定 被引量：3

Stability and Feedback Stabilization for Linear Switched Systems with Multiple Delays
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摘要 研究了具有多时滞线性切换系统的稳定性及其反馈镇定问题,利用完备性条件、矩阵分解与二次Lyapunov泛函,给出了多时滞切换系统渐近稳定的充分条件和切换律设计方法.在此基础上,研究了这类系统的镇定控制问题,设计了保证系统时滞独立渐近镇定的控制器. The stability and feedback stabilization for linear switched systems with multiple delays are studied. By using complete condition, matrix decomposition and quadratic Lyapunov functions that makes the systems asymptotically stable and the design method of switching law are obtained. Then, we designed a controller which can guarantee that the system possesses asymptotic stability independent of delay .
作者 程桂芳 马睿 魏菊梅 卜春霞
机构地区 郑州大学数学系
出处 《数学的实践与认识》 CSCD 北大核心 2009年第9期209-213,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金项目--数学天元基金(10826078)
关键词 多时滞线性切换系统 渐近稳定 时滞独立稳定性 二次型Lyapunov泛函 完备性 linear switched systems with multiple delays asymptotically stability stability independent of delay quadratic lyapunov function completeness
分类号 TP13 [自动化与计算机技术—控制理论与控制工程] TP271 [自动化与计算机技术—检测技术与自动化装置]
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参考文献8

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二级参考文献10

  • 1[2]Tatsushi Ooba, Yasuyuki Funahashi. Comments on "Robust stability of linear systems with delayed perturbations"[J]. IEEE Trans Autom Contr, 1999, 44(8): 1582-1583.
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共引文献27

同被引文献24

引证文献3

二级引证文献6

数学的实践与认识
2009年 第9期

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