| 多时滞线性切换系统的稳定性及其反馈镇定 |
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| 引用本文： | 程桂芳,马睿,魏菊梅,卜春霞. 多时滞线性切换系统的稳定性及其反馈镇定[J]. 数学的实践与认识, 2009, 39(9) |
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| 作者姓名： | 程桂芳 马睿 魏菊梅 卜春霞 |
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| 作者单位： | 郑州大学,数学系,郑州,450001 |
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| 基金项目： | 国家自然科学基金--数学天元基金 |
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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.
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| 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 |
Stability and Feedback Stabilization for Linear Switched Systems with Multiple Delays |
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| CHENG Gui-fang,MA Rui,WEI Ju-mei,Bu Chun-xia. Stability and Feedback Stabilization for Linear Switched Systems with Multiple Delays[J]. Mathematics in Practice and Theory, 2009, 39(9) |
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| Authors: | CHENG Gui-fang MA Rui WEI Ju-mei Bu Chun-xia |
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| Abstract: | 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. |
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| Keywords: | linear switched systems with multiple delays asymptotically stability stability independent of delay quadratic lyapunov function completeness |
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