Linearization of impulsive differential equations with ordinary dichotomy

This paper presents a linearization theorem for the impulsive differential equations when the linear system has ordinary dichotomy. We prove that when the linear impulsive system has ordinary dichotomy, the nonlinear system x ̇(t)=A(t)x(t)+f(t,x), t≠t_k, ∆x(t_k )= A ̃(t_k )x(t_k )+ f ̃(t_k,x), k∈Z i...

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Bibliographic Details
Main Authors: Wong, P. J. Y., Gao, Yongfei, Yuan, Xiaoqing, Xia, Yonghui
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/104846
http://hdl.handle.net/10220/20366
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Institution: Nanyang Technological University
Language: English
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