An Optimal Control Problem Governed by Nonlinear First Order Dynamic Equation on Time Scales-Reference-Cited by-同舟云学术

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

Published:2020-05-26 Issue: Volume:2020 Page:1-7
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Sun Jian-Ping¹²^ORCID,Ren Qiu-Yan¹³,Zhao Ya-Hong²

Affiliation:

1. College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China

2. Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China

3. College of Technology and Engineering, Lanzhou University of Technology, Lanzhou 730050, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/3869089.pdf

Reference20 articles.

1. Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus

2. The Second Euler-Lagrange Equation of Variational Calculus on Time Scales

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