Analytic Solutions to Optimal Control Problems with Constraints

Author(s)
Dan Wu

Affiliation(s)

Department of Mathematics, Henan University of Science and Technology, Luoyang, China.

Department of Mathematics, Henan University of Science and Technology, Luoyang, China.

Abstract

In this paper, the analytic solutions to constrained optimal control problems are considered. A novel approach based on canonical duality theory is developed to derive the analytic solution of this problem by reformulating a constrained optimal control problem into a global optimization problem. A differential flow is presented to deduce some optimality conditions for solving global optimizations, which can be considered as an extension and a supplement of the previous results in canonical duality theory. Some examples are given to illustrate the applicability of our results.

In this paper, the analytic solutions to constrained optimal control problems are considered. A novel approach based on canonical duality theory is developed to derive the analytic solution of this problem by reformulating a constrained optimal control problem into a global optimization problem. A differential flow is presented to deduce some optimality conditions for solving global optimizations, which can be considered as an extension and a supplement of the previous results in canonical duality theory. Some examples are given to illustrate the applicability of our results.

Keywords

Constrained Optimal Control, Analytic Solution, Canonical Duality Theory, Global Optimization

Constrained Optimal Control, Analytic Solution, Canonical Duality Theory, Global Optimization

Cite this paper

Wu, D. (2015) Analytic Solutions to Optimal Control Problems with Constraints.*Applied Mathematics*, **6**, 2326-2339. doi: 10.4236/am.2015.614205.

Wu, D. (2015) Analytic Solutions to Optimal Control Problems with Constraints.

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