Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy
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...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2014
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| Online Access: | https://hdl.handle.net/10356/104108 http://hdl.handle.net/10220/19546 |
| _version_ | 1826119621375164416 |
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| author | Gao, Yongfei Xia, Yonghui Yuan, Xiaoqing Wong, P. J. Y. |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Gao, Yongfei Xia, Yonghui Yuan, Xiaoqing Wong, P. J. Y. |
| author_sort | Gao, Yongfei |
| collection | NTU |
| description | 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). |
| first_indexed | 2024-10-01T05:03:24Z |
| format | Journal Article |
| id | ntu-10356/104108 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:03:24Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/1041082020-03-07T14:00:37Z Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy Gao, Yongfei Xia, Yonghui Yuan, Xiaoqing Wong, P. J. Y. School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering 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). Published version 2014-06-04T02:53:57Z 2019-12-06T21:26:35Z 2014-06-04T02:53:57Z 2019-12-06T21:26:35Z 2014 2014 Journal Article 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-. 1085-3375 https://hdl.handle.net/10356/104108 http://hdl.handle.net/10220/19546 10.1155/2014/860378 en Abstract and applied analysis © 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. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Gao, Yongfei Xia, Yonghui Yuan, Xiaoqing Wong, P. J. Y. Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy |
| title | Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy |
| title_full | Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy |
| title_fullStr | Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy |
| title_full_unstemmed | Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy |
| title_short | Linearization of nonautonomous impulsive system with nonuniform exponential dichotomy |
| title_sort | linearization of nonautonomous impulsive system with nonuniform exponential dichotomy |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/104108 http://hdl.handle.net/10220/19546 |
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