Extraction of Approximate Solution for a Class of‎ ‎Nonlinear Optimal Control Problems Using ۱/G'-Expansion Technique

In this paper‎, ‎the benefits of ۱/G'-expansion technique are utilized to create a direct scheme for extracting approximate solutions for a class of optimal control problems‎. ‎In the given approach‎, ‎first state and control functions have been parameterized as a power series‎, ‎which is constructed according to the solutions of a Bernoulli differential equation‎, ‎where the number of terms in produced power series is determined by the balance method‎. ‎A proportionate replacement and solving the created optimization problem lead to suitable solutions close to the analytical ones for the main problem‎. ‎Numerical experiments are given to evaluate the quality of the proposed method.

کلیدواژه ها:

Optimal control problem‎ ، ‎۱/G'-Expansion method‎ ، ‎Parametrization