Abstract: | This paper describes an optimal control problem involving a nonlinear impulsive control system, together with a nonlinear
objective function and nonlinear control and state constraints. Both the magnitude of the impulses as well as the instants
at which the impulses are applied can be regarded as decision variables. A computational method is described for solving the
problem. To illustrate the usefulness of our method for real-life applications, we solve a Human Immunodeficiency Virus (HIV)
treatment problem. The numerical results obtained clearly illustrate the efficiency of our method. |