Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces
We study three polynomial dichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give characterizations in terms of Lyapunov functions for nonuniform polynomial dichotomy of nonautonomous and noninvertible linear discrete-time systems.
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/185910 |
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| _version_ | 1849415035603910656 |
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| author | Tian Yue |
| author_facet | Tian Yue |
| author_sort | Tian Yue |
| collection | DOAJ |
| description | We study three polynomial dichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give characterizations in terms of Lyapunov functions for nonuniform polynomial dichotomy of nonautonomous and noninvertible linear discrete-time systems. |
| format | Article |
| id | doaj-art-6a1a1f6bb63a4357b3f3ebb3dab9cd69 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-6a1a1f6bb63a4357b3f3ebb3dab9cd692025-08-20T03:33:39ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/185910185910Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach SpacesTian Yue0School of Science, Hubei University of Automotive Technology, Shiyan, Hubei 442002, ChinaWe study three polynomial dichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give characterizations in terms of Lyapunov functions for nonuniform polynomial dichotomy of nonautonomous and noninvertible linear discrete-time systems.http://dx.doi.org/10.1155/2015/185910 |
| spellingShingle | Tian Yue Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces Journal of Control Science and Engineering |
| title | Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces |
| title_full | Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces |
| title_fullStr | Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces |
| title_full_unstemmed | Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces |
| title_short | Nonuniform Polynomial Dichotomy for Noninvertible Linear Discrete-Time Systems in Banach Spaces |
| title_sort | nonuniform polynomial dichotomy for noninvertible linear discrete time systems in banach spaces |
| url | http://dx.doi.org/10.1155/2015/185910 |
| work_keys_str_mv | AT tianyue nonuniformpolynomialdichotomyfornoninvertiblelineardiscretetimesystemsinbanachspaces |