Optimal feedback control for semilinear fractional evolution equations in Banach spaces

• Published in: Systems & control letters Vol. 61; no. 4; pp. 472 - 476
• Main Authors: Wang, JinRong, Zhou, Yong, Wei, Wei
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01-04-2012; Elsevier
• Subjects: Applied sciences; Banach space; Computer science; control theory; systems; Control systems; Control theory. Systems; Evolution; Exact sciences and technology; Existence; Existence theorems; Feasible pairs; Feedback control; Fractional evolution equations; Mathematical analysis; Mild solutions; Optimal control; Optimal feedback control; Optimization; Mild solutions; Fractional evolution equations; Existence; Optimal feedback control; Feasible pairs; Semi linear equation; Existence theorem; Compact space; Feedback regulation; Evolution equation; Semigroup; Banach space; Closed feedback; Optimal control
• ISSN: 0167-6911; 1872-7956
• DOI: 10.1016/j.sysconle.2011.12.009

In this paper, we study optimal feedback controls of a system governed by semilinear fractional evolution equations via a compact semigroup in Banach spaces. By using the Cesari property, the Fillippove theorem and extending the earlier work on fractional evolution equations, we prove the existence of feasible pairs. An existence result of optimal control pairs for the Lagrange problem is presented.