An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales. (26th May 2020)

• Record Type: Journal Article
• Authors: Sun, Jian-Ping; Ren, Qiu-Yan; Zhao, Ya-Hong
• Other Names: Guo Rongwei Guest Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-05-26
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/3869089
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, we are concerned with a class of optimal control problem governed by nonlinear first order dynamic equation on time scales. By imposing some suitable conditions on the related functions, for any given control policy, we first obtain the existence of a unique solution for the nonlinear controlled system. Then, we study the existence of an optimal solution for the optimal control problem.