Pontryagin, L.S. (1964) The Mathematical Theory of Optimal Processes. Pergamon Press, Oxford, UK.

has been cited by the following article:

• TITLE: Global Optimization for Solving Linear Non-Quadratic Optimal Control Problems

  AUTHORS: Jinghao Zhu

  KEYWORDS: Linear Non-Quadratic Optimal Control, Pontryagin Principle, Global Optimization, Hamiltonian Differential Boundary Value Problem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.10, October 13, 2016

  ABSTRACT: This paper presents a global optimization approach to solving linear non-quadratic optimal control problems. The main work is to construct a differential flow for finding a global minimizer of the Hamiltonian function over a Euclid space. With the Pontryagin principle, the optimal control is characterized by a function of the adjoint variable and is obtained by solving a Hamiltonian differential boundary value problem. For computing an optimal control, an algorithm for numerical practice is given with the description of an example.