Time optimal control for semilinear fractional evolution feedback control systems. (3rd April 2019)

• Record Type: Journal Article
• Authors: Bin, Maojun
• Is Part Of: Optimization. Volume 68:Number 4(2019)
• Page Start: 819
• Page End: 832
• Publication Date: 2019-04-03
• Subjects: Semilinear fractional differential equations -- admissible trajectories -- admissible control -- feedback control -- time optimal control; 49J15; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1552956
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: In this article, we investigate a class of time feedback optimal control systems governed by Caputo 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 non-empty involving the compactness of semigroupT ( t ) ( t > 0 ) with the help of the Cesari property and the Fillippove theorem. Moreover, we also give an existence result for time feedback optimal control. In the end, an example is given to illustrate our main results.