Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems
Shimaa H. Abel-GaidDepartment of Mathematics and Computer Science, Faculty of Sciences, Beni-Suef University, Beni-Suef 62511, EgyptAhlam Hasan QamloDepartment of Mathematics, Faculty of Sciences, Umm Al-Qura University, Makkah 21955, Saudi ArabiaBahaa Gaber MohamedDepartment of Mathematics and Computer Science, Faculty of Sciences, Beni-Suef University, Beni-Suef 62511, Egypt
2024en
ABI
Аннотация
In this paper, by using the controllability method, a bang-bang property and a time optimal control problem for time fractional differential systems (FDS) are considered. First, we formulate our problem and prove the existence theorem. We then state and prove the bang-bang theorem. Finally, we state the optimality conditions that characterize the optimal control. Some application examples are given to illustrate our results.
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