An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales

An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales

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...

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Main Authors: Jian-Ping Sun, Qiu-Yan Ren, Ya-Hong Zhao
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/3869089
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spelling doaj-f823803b2bb24d658613390ef12ecfa22020-11-25T03:29:10ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/38690893869089An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time ScalesJian-Ping Sun0Qiu-Yan Ren1Ya-Hong Zhao2College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, ChinaCollege of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, ChinaIn 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.http://dx.doi.org/10.1155/2020/3869089
collection DOAJ
language English
format Article
sources DOAJ
author Jian-Ping Sun
Qiu-Yan Ren
Ya-Hong Zhao
spellingShingle Jian-Ping Sun
Qiu-Yan Ren
Ya-Hong Zhao
An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales
Mathematical Problems in Engineering
author_facet Jian-Ping Sun
Qiu-Yan Ren
Ya-Hong Zhao
author_sort Jian-Ping Sun
title An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales
title_short An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales
title_full An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales
title_fullStr An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales
title_full_unstemmed An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales
title_sort optimal control problem governed by nonlinear first order dynamic equation on time scales
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/3869089
work_keys_str_mv AT jianpingsun anoptimalcontrolproblemgovernedbynonlinearfirstorderdynamicequationontimescales
AT qiuyanren anoptimalcontrolproblemgovernedbynonlinearfirstorderdynamicequationontimescales
AT yahongzhao anoptimalcontrolproblemgovernedbynonlinearfirstorderdynamicequationontimescales
AT jianpingsun optimalcontrolproblemgovernedbynonlinearfirstorderdynamicequationontimescales
AT qiuyanren optimalcontrolproblemgovernedbynonlinearfirstorderdynamicequationontimescales
AT yahongzhao optimalcontrolproblemgovernedbynonlinearfirstorderdynamicequationontimescales
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