Observability of Nonlinear Fractional Dynamical Systems
We study the observability of linear and nonlinear fractional differential systems of order 0<α<1 by using the Mittag-Leffler matrix function and the application of Banach’s contraction mapping theorem. Several examples illustrate the concepts.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/346041 |
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| _version_ | 1832550542713290752 |
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| author | K. Balachandran V. Govindaraj M. Rivero J. A. Tenreiro Machado J. J. Trujillo |
| author_facet | K. Balachandran V. Govindaraj M. Rivero J. A. Tenreiro Machado J. J. Trujillo |
| author_sort | K. Balachandran |
| collection | DOAJ |
| description | We study the observability of linear and nonlinear fractional differential systems of order 0<α<1 by using the Mittag-Leffler matrix function and the application of Banach’s contraction mapping theorem. Several examples illustrate the concepts. |
| format | Article |
| id | doaj-art-2eeb243065024439a67360a16cd1bd44 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2eeb243065024439a67360a16cd1bd442025-02-03T06:06:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/346041346041Observability of Nonlinear Fractional Dynamical SystemsK. Balachandran0V. Govindaraj1M. Rivero2J. A. Tenreiro Machado3J. J. Trujillo4Department of Mathematics, Bharathiar University, Coimbatore 641 046, IndiaDepartment of Mathematics, Bharathiar University, Coimbatore 641 046, IndiaDepartment of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, 4200-072 Porto, PortugalDepartamento de Matemática Fundamental, Universidad de La Laguna, La Laguna, 38271 Tenerife, SpainDepartamento de Análisis Matemático, Universidad de La Laguna, La Laguna, 38271 Tenerife, SpainWe study the observability of linear and nonlinear fractional differential systems of order 0<α<1 by using the Mittag-Leffler matrix function and the application of Banach’s contraction mapping theorem. Several examples illustrate the concepts.http://dx.doi.org/10.1155/2013/346041 |
| spellingShingle | K. Balachandran V. Govindaraj M. Rivero J. A. Tenreiro Machado J. J. Trujillo Observability of Nonlinear Fractional Dynamical Systems Abstract and Applied Analysis |
| title | Observability of Nonlinear Fractional Dynamical Systems |
| title_full | Observability of Nonlinear Fractional Dynamical Systems |
| title_fullStr | Observability of Nonlinear Fractional Dynamical Systems |
| title_full_unstemmed | Observability of Nonlinear Fractional Dynamical Systems |
| title_short | Observability of Nonlinear Fractional Dynamical Systems |
| title_sort | observability of nonlinear fractional dynamical systems |
| url | http://dx.doi.org/10.1155/2013/346041 |
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