Optimal feedback control for fractional neutral dynamical systems |
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| Authors: | Zhenhai Liu Xuemei Li Biao Zeng |
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| Affiliation: | 1. Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and College of Sciences, Guangxi University for Nationalities, Nanning, P.R. China.;2. Faculty of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland. |
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| Abstract: | In this paper, we consider feedback control systems governed by fractional neutral equations involving Riemann–Liouville derivatives. Firstly, we show the existence and uniqueness of solutions for the feedback control systems by applying Krasnoselskiis fixed point theorem. Then, we use Filippove theorem to obtain the existence of feasible pairs. Finally, an existence result of optimal control pairs for the Lagrange problem is proved. |
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| Keywords: | Fractional neutral equations Riemann–Liouville fractional derivatives feedback control feasible pairs optimal control |
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