Relative controllability of a stochastic system using fractional delayed sine and cosine matrices
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| Formato: | Artículo científico |
| Lenguaje: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876424764646490112 |
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| author | JinRong Wanga |
| author_facet | JinRong Wanga |
| contents | Relative controllability of a stochastic system using fractional delayed sine and cosine matrices JinRong Wanga T. Sathiyaraja Donal O Regan Matemáticas Relative controllability fractional delay stochastic systems fractional delayed sine and cosine matrices In this paper, we study the relative controllability of a fractional stochastic system with pure delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for relative exact controllability using fixed point theory, fractional calculus (including fractional delayed linear operators and Grammian matrices) and local assumptions on nonlinear terms. Finally, an example is given to illustrate our theory. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173172003 https://www.redalyc.org/journal/6941/694173172003/ https://www.redalyc.org/journal/6941/694173172003/html/ https://www.redalyc.org/journal/6941/694173172003/694173172003.epub https://www.redalyc.org/journal/6941/694173172003/movil https://doi.org/10.15388/namc.2021.26.24265 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.6 Vol.26 |
| format | Artículo científico |
| id | redalyc_694173172003 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Relative controllability of a stochastic system using fractional delayed sine and cosine matrices JinRong Wanga Matemáticas Relative controllability fractional delay stochastic systems fractional delayed sine and cosine matrices Relative controllability of a stochastic system using fractional delayed sine and cosine matrices JinRong Wanga T. Sathiyaraja Donal O Regan Matemáticas Relative controllability fractional delay stochastic systems fractional delayed sine and cosine matrices In this paper, we study the relative controllability of a fractional stochastic system with pure delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for relative exact controllability using fixed point theory, fractional calculus (including fractional delayed linear operators and Grammian matrices) and local assumptions on nonlinear terms. Finally, an example is given to illustrate our theory. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173172003 https://www.redalyc.org/journal/6941/694173172003/ https://www.redalyc.org/journal/6941/694173172003/html/ https://www.redalyc.org/journal/6941/694173172003/694173172003.epub https://www.redalyc.org/journal/6941/694173172003/movil https://doi.org/10.15388/namc.2021.26.24265 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.6 Vol.26 |
| title | Relative controllability of a stochastic system using fractional delayed sine and cosine matrices |
| topic | Matemáticas Relative controllability fractional delay stochastic systems fractional delayed sine and cosine matrices |
| url | https://www.redalyc.org/articulo.oa?id=694173172003 https://www.redalyc.org/journal/6941/694173172003/ https://www.redalyc.org/journal/6941/694173172003/html/ https://www.redalyc.org/journal/6941/694173172003/694173172003.epub https://www.redalyc.org/journal/6941/694173172003/movil https://doi.org/10.15388/namc.2021.26.24265 |