In this paper, we obtain the gradient of objective function using the

concept of directionally derivative. Then the gradient decent method is

presented to solve the nonlinear optimal control problem with free final

state....

Abstract: Classical methods are mostly deficient for solving nonlinear time optimal control problems. In

this paper an approach to solve this kind of problems is considered. This method was first presented by

Badakhshan et al. in [1...

On infinite-horizon optimal control problems...

In this paper we introduce a numerical technique based on Legendre polynomials for solving of nonlinear optimal control problems, where this approach is used for solving optimal control problem of an HIV infection treatment control model...

Here, a two-phase algorithm is proposed for solving bounded continuous-time nonlinear optimal control problems (NOCP). In each phase of the algorithm, a modified hybrid genetic algorithm (MHGA) is applied, which performs a local search on offsprings...

In this paper, we propose a new approach for a class of optimal control problems governed by Volterra inte-gral equations which is based on linear combination property of intervals. We convert the nonlinear terms in constraints of problem...

measures, and by using atomic measures we change this

one to a ¯nite dimensional linear programming problem. Finally we ¯nd a

piecewise constant optimal control function on every subinterval and then the

approximated interpolating cubic...