| 具有时变时滞不确定切换系统的鲁棒镇定(英文) |
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| 引用本文： | 李岩,刘玉忠.具有时变时滞不确定切换系统的鲁棒镇定(英文)[J].沈阳师范大学学报(自然科学版),2011,29(2):142-145. |
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| 作者姓名： | 李岩 刘玉忠 |
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| 作者单位： | 沈阳师范大学,数学与系统科学学院,沈阳,110034 |
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| 基金项目： | Science and Technology Found of the Educational Department of Liaoning Province (20060823) |
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| 摘 要： | 研究同时具有时滞和不确定性的一类切换系统的鲁棒镇定问题,控制器的设计采用无记忆状态反馈的形式,所设计的控制器能够保证切换系统在任意切换下都是鲁棒渐近稳定的。通过引入自由权矩阵,降低了结果的保守性,通过构造李亚普诺夫-克拉索夫斯基函数,得到了系统在任意切换下鲁棒镇定的充分条件,该条件可通过变量变换化成线性矩阵不等式的形式而得到其可行解。
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| 关 键 词： | 带有时变时滞的切换系统 时滞依赖 鲁棒镇定 |
Robust stabilization analysis for uncertain switched systems with time-varying delay |
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| LI Yan,LIU Yu-zhong.Robust stabilization analysis for uncertain switched systems with time-varying delay[J].Journal of Shenyang Normal University: Nat Sci Ed,2011,29(2):142-145. |
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| Authors: | LI Yan LIU Yu-zhong |
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| Institution: | LI Yan,LIU Yu-zhong(School of Mathematics and System Science,Shenyang Normal University,Shenyang 110034,China) |
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| Abstract: | The delay-dependent robust stabilization analysis of the uncertain switched systems with timevarying delay is studied in this paper. The controllers are designed in the form of memoryless statefeedback and it can guarantee the system to be asymptotically stable under arbitrary switching law. The delay-dependent sufficient condition of robust stabilization is presented by introducing the free weighting matrices and it can be solved by linear matrix inequalities. |
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| Keywords: | switched systems with time-varying delay delay-dependent robust stabilization |
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