Input-to-State Stability of Singularly Perturbed Control Systems with Delays

被引：12
|
作者：
Zhao, Yongxiang [1 ,2 ]
Xiao, Aiguo [2 ]
Li, Li [1 ]
机构：
[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404000, Peoples R China
[2] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
关键词：
DIFFERENTIAL EQUATIONS; EXPONENTIAL STABILITY; STABILIZATION;
D O I：
10.1155/2013/401572
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays.
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页数：8
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