Optimal feedback control for fractional neutral dynamical systems. (4th May 2018)

• Record Type: Journal Article
• Authors: Liu, Zhenhai; Li, Xuemei; Zeng, Biao
• Is Part Of: Optimization. Volume 67:Number 5(2018)
• Page Start: 549
• Page End: 564
• Publication Date: 2018-05-04
• Subjects: Fractional neutral equations -- Riemann–Liouville fractional derivatives -- feedback control -- feasible pairs -- optimal control; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1455196
• Languages: English
• ISSNs: 0233-1934

Abstract

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.