| 慢变线性切换系统的镇定(英文) |
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| 引用本文： | 张兵,梁童.慢变线性切换系统的镇定(英文)[J].数学季刊,2012(1):18-23. |
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| 作者姓名： | 张兵 梁童 |
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| 作者单位： | Department of Water Conservancy,Yellow River Conservancy Technical Institute;Department of Fundamental,Yellow River Conservancy Technical Institute |
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| 摘 要： | The stabilization problem of systems that switch among a finite set of slowly varying linear systems with arbitrary switching frequency is discussed.It is shown that if the entries of the pointwise stabilizing feedback gain matrix are continuously differentiable functions of the entries of the system coefficient matrices,then the closed-loop system is uniformly asymptotically stable if the rate of time variation of the system coefficient matrices is sufficiently small.
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| 关 键 词： | slowly varying switched linear systems stabilization frozen-time method stability |
Stabilization of Slowly Varying Switched Linear Systems |
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| ZHANG Bing,LIANG Tong.Stabilization of Slowly Varying Switched Linear Systems[J].Chinese Quarterly Journal of Mathematics,2012(1):18-23. |
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| Authors: | ZHANG Bing LIANG Tong |
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| Institution: | 1.Department of Water Conservancy,Yellow River Conservancy Technical Institute,Kaifeng 475003,China;2.Department of Fundamental,Yellow River Conservancy Technical Institute,Kaifeng 475003,China) |
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| Abstract: | The stabilization problem of systems that switch among a finite set of slowly varying linear systems with arbitrary switching frequency is discussed.It is shown that if the entries of the pointwise stabilizing feedback gain matrix are continuously differentiable functions of the entries of the system coefficient matrices,then the closed-loop system is uniformly asymptotically stable if the rate of time variation of the system coefficient matrices is sufficiently small. |
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| Keywords: | slowly varying switched linear systems stabilization frozen-time method stability |
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