DELAY DIFFERENTIAL EQUATIONS UNDER NONLINEAR IMPULSIVE CONTROL AND APPLICATIONS TO NEURAL NETWORK MODELS  被引量:1

DELAY DIFFERENTIAL EQUATIONS UNDER NONLINEAR IMPULSIVE CONTROL AND APPLICATIONS TO NEURAL NETWORK MODELS

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作  者:Yong ZHAO Qishao LU Zhaosheng FENG Yonghui XIA 

机构地区:[1]Department of Dynamics and Control,Beihang University [2]Department of Mathematics,University of Texas-Pan American,Edinburg,TX 78539,USA [3]Department of Mathematics,Zhejiang Normal University

出  处:《Journal of Systems Science & Complexity》2012年第4期707-719,共13页系统科学与复杂性学报(英文版)

基  金:supported by Natural Science Foundation of China under Grant Nos.10972018 and 11072013

摘  要:In this paper, a class of delay differential equations with nonlinear impulsive control is discussed. Based on the nonsmooth analysis, criteria of stability are obtained for delay differential equations with nonlinear impulses control under certain conditions. These criteria can be applied to some neural network models. At the end of the paper, two examples are provided to illustrate the feasibility and effectiveness of the proposed results.

关 键 词:stability. Delay differential equation HOMEOMORPHISM impulsive control nonsmooth analysis 

分 类 号:O175[理学—数学]

 

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