The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems
The aim of this paper is to characterize a general property of (h,k)-trichotomy through some Lyapunov functions for linear discrete-time systems in infinite dimensional spaces. Also, we apply the results to illustrate necessary and sufficient conditions for nonuniform exponential trichotomy and nonu...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/3760262 |
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| _version_ | 1832552217024921600 |
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| author | Claudia-Luminiţa Mihiţ Mihail Megan Traian Ceauşu |
| author_facet | Claudia-Luminiţa Mihiţ Mihail Megan Traian Ceauşu |
| author_sort | Claudia-Luminiţa Mihiţ |
| collection | DOAJ |
| description | The aim of this paper is to characterize a general property of (h,k)-trichotomy through some Lyapunov functions for linear discrete-time systems in infinite dimensional spaces. Also, we apply the results to illustrate necessary and sufficient conditions for nonuniform exponential trichotomy and nonuniform polynomial trichotomy. |
| format | Article |
| id | doaj-art-3bb298d50bef4c64aa14696c5bd3e6dd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3bb298d50bef4c64aa14696c5bd3e6dd2025-02-03T05:59:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/37602623760262The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time SystemsClaudia-Luminiţa Mihiţ0Mihail Megan1Traian Ceauşu2Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Vasile Pârvan Boulevard No. 4, 300223 Timişoara, RomaniaDepartment of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Vasile Pârvan Boulevard No. 4, 300223 Timişoara, RomaniaDepartment of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Vasile Pârvan Boulevard No. 4, 300223 Timişoara, RomaniaThe aim of this paper is to characterize a general property of (h,k)-trichotomy through some Lyapunov functions for linear discrete-time systems in infinite dimensional spaces. Also, we apply the results to illustrate necessary and sufficient conditions for nonuniform exponential trichotomy and nonuniform polynomial trichotomy.http://dx.doi.org/10.1155/2016/3760262 |
| spellingShingle | Claudia-Luminiţa Mihiţ Mihail Megan Traian Ceauşu The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems Discrete Dynamics in Nature and Society |
| title | The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems |
| title_full | The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems |
| title_fullStr | The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems |
| title_full_unstemmed | The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems |
| title_short | The Equivalence of Datko and Lyapunov Properties for (h,k)-Trichotomic Linear Discrete-Time Systems |
| title_sort | equivalence of datko and lyapunov properties for h k trichotomic linear discrete time systems |
| url | http://dx.doi.org/10.1155/2016/3760262 |
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