Abstract
Time optimal control problems governed by Riemann-Liouville fractional differential system are considered in this paper. Firstly, the existence results are obtained by using the theory of semigroup and Schauder’s fixed point. Secondly, the new approach of establishing time minimizing sequences twice is applied to acquire the time optimal pairs without the Lipschitz continuity of nonlinear function. Moreover, the reflexivity of state space is removed with the help of compact method. Finally, an example is given to illustrate the main conclusions. Our work essentially improves and generalizes the corresponding results in the existing literature.
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Lian, T., Fan, Z. & Li, G. Time optimal controls for fractional differential systems with Riemann-Liouville derivatives. FCAA 21, 1524–1541 (2018). https://doi.org/10.1515/fca-2018-0080
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DOI: https://doi.org/10.1515/fca-2018-0080