Applied Mathematics and Computation, ( ISI ), Volume (173), No (2), Year (2006-6) , Pages (736-752)
Title : ( A measure-theoretical approach for solving discrete optimal control problems )
Authors: Mortaza Gachpazan , اکبر هاشمی برزابادی , Ali Vahidian Kamyad ,Access to full-text not allowed by authors
Abstract
In this paper, a new approach for finding an approximate solution for discrete optimal control problems is introduced. In this method the problem is transformed to a continuous optimal control problem whose solution may give rise to a good approximate solution for the original problem. Then, a measure-theoretical approach is applied to solve the new problem. The method is extended to solve time-optimal problems which is governed by a nonlinear discrete system. Finally, some numerical examples are proposed.