Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems-Reference-Cited by-同舟云学术

Bang-Bang Property and Time-Optimal Control for Caputo Fractional Differential Systems

Published:2024-01-26 Issue:2 Volume:8 Page:84
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Abel-Gaid Shimaa H.¹,Qamlo Ahlam Hasan²,Mohamed Bahaa Gaber¹

Affiliation:

1. Department of Mathematics and Computer Science, Faculty of Sciences, Beni-Suef University, Beni-Suef 62511, Egypt

2. Department of Mathematics, Faculty of Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia

Abstract

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.

Funder

Umm al-Qura University

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/2/84/pdf

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