半线性Riemann-Liouville分数阶发展方程反馈时间最优控制

Abstract

Abstract:

In this article, we investigate a class of time feedback optimal control systems governed by Riemann-Liouville fractional semilinear differential equations in Banach space. At first, we discuss the existence and uniqueness of the mild solution for the equations by using fixed point theorem. Secondly, we show that the admissible trajectories set is nonempty involving the compactness of semigroup $ T(t)(t > 0) $ with the help of the Cesari roperty and the Fillippove theorem. Moreover, we also give an existence result for time eedback optimal control. In the end, an example is given to illustrate our main results.

Key words: Semilinear fractional differential equations, Admissible trajectories, Admissible control, Feedback control, Time optimal control

CLC Number:

O175.6

Bin Maojun, Shi Cuiyun. Time Optimal Control for Semilinear Riemann-Liouville Fractional Evolution Feedback Control Systems[J].Acta mathematica scientia,Series A, 2024, 44(3): 687-698.

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Time Optimal Control for Semilinear Riemann-Liouville Fractional Evolution Feedback Control Systems

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