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https://hdl.handle.net/10356/104108
Title: | Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy | Authors: | Gao, Yongfei Xia, Yonghui Yuan, Xiaoqing Wong, P. J. Y. |
Keywords: | DRNTU::Engineering::Electrical and electronic engineering | Issue Date: | 2014 | Source: | Gao, Y., Xia, Y., Yuan, X., & Wong, P. J. Y. (2014). Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy. Abstract and Applied Analysis, 2014, 860378-. | Series/Report no.: | Abstract and applied analysis | Abstract: | 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 system. Indeed, we do construct the topologically equivalent function (the transformation). Moreover, the method to prove the topological conjugacy is quite different from those in previous works (e.g., see Barreira and Valls, 2006). | URI: | https://hdl.handle.net/10356/104108 http://hdl.handle.net/10220/19546 |
ISSN: | 1085-3375 | DOI: | 10.1155/2014/860378 | Schools: | School of Electrical and Electronic Engineering | Rights: | © 2014 Yongfei Gao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
Appears in Collections: | EEE Journal Articles |
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Linearization of Nonautonomous Impulsive System with Nonuniform Exponential Dichotomy.pdf | 1.85 MB | Adobe PDF | View/Open |
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