Baleanu, DumitruJafari, HosseinGhasempour, SaberBaleanu, Dumitru2020-04-162020-04-162016Jafari, Hossein; Ghasempour, Saber; Baleanu, Dumitru, "On comparison between iterative methods for solving nonlinear optimal control problems", Journal of Vibration and Control, Vol. 22, No. 9, pp. 2281-2287, (2016).1077-54631741-2986https://hdl.handle.net/20.500.12416/3261Recently some semi-analytical methods have been introduced for solving a class of nonlinear optimal control problems such as the Adomian decomposition method, homotopy perturbation method and modified variational iteration method. In this manuscript we compare these methods for solving a type of nonlinear optimal control problem. We prove that these methods are equivalent, which means that they use the same iterative formula to obtain the approximate/analytical solution.eninfo:eu-repo/semantics/closedAccessNonlinear Optimal Control ProblemAdomian Decomposition MethodsHomotopy Perturbation MethodPontryagin's Maximum PrincipleVariational Homotopy Perturbation MethodArticle2292281228710.1177/1077546315590039