Controllability Results for Nonlinear Fractional-Order Dynamical Systems
This paper establishes a set of sufficient conditions for the controllability of nonlinear fractional dynamical system of order 1< α
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| Veröffentlicht in: | Journal of optimization theory and applications 2013, Vol.156 (1), p.33-44 |
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| container_title | Journal of optimization theory and applications |
| container_volume | 156 |
| creator | Balachandran, K. Govindaraj, V. Rodríguez-Germa, L. Trujillo, J. J. |
| description | This paper establishes a set of sufficient conditions for the controllability of nonlinear fractional dynamical system of order 1<
α |
| doi_str_mv | 10.1007/s10957-012-0212-5 |
| format | Article |
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α
<2 in finite dimensional spaces. The main tools are the Mittag–Leffler matrix function and the Schaefer’s fixed-point theorem. An example is provided to illustrate the theory.</description><identifier>ISSN: 0022-3239</identifier><identifier>EISSN: 1573-2878</identifier><identifier>DOI: 10.1007/s10957-012-0212-5</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Applications of Mathematics ; Calculus of Variations and Optimal Control; Optimization ; Control theory ; Controllability ; Differential equations ; Dynamical systems ; Engineering ; Hypotheses ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Nonlinearity ; Operations Research/Decision Theory ; Optimization ; Studies ; Theorems ; Theory of Computation</subject><ispartof>Journal of optimization theory and applications, 2013, Vol.156 (1), p.33-44</ispartof><rights>Springer Science+Business Media New York 2012</rights><rights>Springer Science+Business Media New York 2013</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-802dab373c9915d69a5fc5aa7ca09fdb702f902ad97e1fffb1736885ad080dc03</citedby><cites>FETCH-LOGICAL-c349t-802dab373c9915d69a5fc5aa7ca09fdb702f902ad97e1fffb1736885ad080dc03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10957-012-0212-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10957-012-0212-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Balachandran, K.</creatorcontrib><creatorcontrib>Govindaraj, V.</creatorcontrib><creatorcontrib>Rodríguez-Germa, L.</creatorcontrib><creatorcontrib>Trujillo, J. J.</creatorcontrib><title>Controllability Results for Nonlinear Fractional-Order Dynamical Systems</title><title>Journal of optimization theory and applications</title><addtitle>J Optim Theory Appl</addtitle><description>This paper establishes a set of sufficient conditions for the controllability of nonlinear fractional dynamical system of order 1<
α
<2 in finite dimensional spaces. The main tools are the Mittag–Leffler matrix function and the Schaefer’s fixed-point theorem. 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α
<2 in finite dimensional spaces. The main tools are the Mittag–Leffler matrix function and the Schaefer’s fixed-point theorem. An example is provided to illustrate the theory.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s10957-012-0212-5</doi><tpages>12</tpages></addata></record> |
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| ispartof | Journal of optimization theory and applications, 2013, Vol.156 (1), p.33-44 |
| issn | 0022-3239 1573-2878 |
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| subjects | Applications of Mathematics Calculus of Variations and Optimal Control Optimization Control theory Controllability Differential equations Dynamical systems Engineering Hypotheses Mathematical analysis Mathematics Mathematics and Statistics Nonlinearity Operations Research/Decision Theory Optimization Studies Theorems Theory of Computation |
| title | Controllability Results for Nonlinear Fractional-Order Dynamical Systems |
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