Optimal feedback control for fractional neutral dynamical systems

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.

Keywords:

• Fractional neutral equations
• Riemann–Liouville fractional derivatives
• feedback control
• feasible pairs
• optimal control

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

Project supported by NNSF of China [grant number 11671101]; Special Funds of Guangxi Distinguished Experts Construction Engineering.