Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution
In this paper, we study the controllability of second-order nonlinear stochastic delay systems driven by the Rosenblatt distributions in finite dimensional spaces. A set of sufficient conditions are established for controllability of nonlinear stochastic delay systems using fixed point theory, delay...
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| Veröffentlicht in: | Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2021-02, Vol.151 (1), p.217-239 |
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| container_title | Proceedings of the Royal Society of Edinburgh. Section A. Mathematics |
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| creator | Sathiyaraj, T. Wang, JinRong O'Regan, D. |
| description | In this paper, we study the controllability of second-order nonlinear stochastic delay systems driven by the Rosenblatt distributions in finite dimensional spaces. A set of sufficient conditions are established for controllability of nonlinear stochastic delay systems using fixed point theory, delayed sine and cosine matrices and delayed Grammian matrices. Furthermore, controllability results for second-order stochastic delay systems driven by Rosenblatt distributions via the representation of solution by delayed sine and cosine functions are presented. Finally, our theoretical results are illustrated through numerical simulation. |
| doi_str_mv | 10.1017/prm.2020.11 |
| format | Article |
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A set of sufficient conditions are established for controllability of nonlinear stochastic delay systems using fixed point theory, delayed sine and cosine matrices and delayed Grammian matrices. Furthermore, controllability results for second-order stochastic delay systems driven by Rosenblatt distributions via the representation of solution by delayed sine and cosine functions are presented. Finally, our theoretical results are illustrated through numerical simulation.</abstract><cop>Edinburgh, UK</cop><pub>Royal Society of Edinburgh Scotland Foundation</pub><doi>10.1017/prm.2020.11</doi><tpages>23</tpages></addata></record> |
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| identifier | ISSN: 0308-2105 |
| ispartof | Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2021-02, Vol.151 (1), p.217-239 |
| issn | 0308-2105 1473-7124 |
| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Controllability Delay Nonlinear control Trigonometric functions |
| title | Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution |
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