Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy

• Main Authors: Gao, Yongfei, Xia, Yonghui, Yuan, Xiaoqing, Wong, P. J. Y.
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Engineering::Electrical and electronic engineering
• Online Access: https://hdl.handle.net/10356/104108; http://hdl.handle.net/10220/19546
• Institution: Nanyang Technological University

This paper gives a version of Hartman-Grobman theorem for the impulsive differential equations. We assume that the linear impulsive system has a nonuniform exponential dichotomy. Under some suitable conditions, we proved that the nonlinear impulsive system is topologically conjugated to its linear s...