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有界滯量脉冲泛函微分系统零解的指数稳定性
引用本文:王华丽,褚玉明,符海龙. 有界滯量脉冲泛函微分系统零解的指数稳定性[J]. 湖州师专学报, 2010, 0(2): 13-17
作者姓名:王华丽  褚玉明  符海龙
作者单位:[1]厦门大学数学科学学院,福建厦门361005 [2]湖州师范学院理学院,浙江湖州313000 [3]浙江大学附属中学,浙江杭州310007
摘    要:利用Halanay微分不等式建立了Dini导数微分不等式,并证明了有界滞量的脉冲泛函微分系统的零解是全局指数稳定的.

关 键 词:Halanay不等式  脉冲泛函微分系统  指数稳定性

The Exponential Stability of Zero Solutions for Impulsive Functional Differential Systems with Bounded Delay
Affiliation:WANG Hua- li , CHU Yu- ming , FU Hai- long( 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China; 2. Faculty of Science, Huzhou Teachers College, Huzhou 31300, China; 3. The High School Attached to Zhejiang University, Hangzhou 310007, China )
Abstract:We establish an Dini derivative differential inequality by ues of the Halanay differential inequality and prove that the zero solutions of the impulsive functional differential systems with bounded delay are globally exponential stable.
Keywords:Halanay inequality  Impulsive functional differential systems  Exponential stability
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