On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces
We study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give summation property for nonuniform polynomial trichotomies. As for applications we obtain characterization of these concepts in terms of Lyapunov functions.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/807265 |
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| _version_ | 1832551749060132864 |
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| author | Zhi-gang Li Xiao-qiu Song Xiu-li Yang |
| author_facet | Zhi-gang Li Xiao-qiu Song Xiu-li Yang |
| author_sort | Zhi-gang Li |
| collection | DOAJ |
| description | We study two nonuniform polynomial trichotomy concepts for linear
discrete-time systems in Banach spaces. Our main objective is to give summation property for
nonuniform polynomial trichotomies. As for applications we obtain characterization of these
concepts in terms of Lyapunov functions. |
| format | Article |
| id | doaj-art-90c0a7dc322648c0b5b82aec7efff7c7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-90c0a7dc322648c0b5b82aec7efff7c72025-02-03T06:00:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/807265807265On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach SpacesZhi-gang Li0Xiao-qiu Song1Xiu-li Yang2College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaCollege of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaCollege of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaWe study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give summation property for nonuniform polynomial trichotomies. As for applications we obtain characterization of these concepts in terms of Lyapunov functions.http://dx.doi.org/10.1155/2014/807265 |
| spellingShingle | Zhi-gang Li Xiao-qiu Song Xiu-li Yang On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces Journal of Applied Mathematics |
| title | On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces |
| title_full | On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces |
| title_fullStr | On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces |
| title_full_unstemmed | On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces |
| title_short | On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces |
| title_sort | on nonuniform polynomial trichotomy of linear discrete time systems in banach spaces |
| url | http://dx.doi.org/10.1155/2014/807265 |
| work_keys_str_mv | AT zhigangli onnonuniformpolynomialtrichotomyoflineardiscretetimesystemsinbanachspaces AT xiaoqiusong onnonuniformpolynomialtrichotomyoflineardiscretetimesystemsinbanachspaces AT xiuliyang onnonuniformpolynomialtrichotomyoflineardiscretetimesystemsinbanachspaces |