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A modification on Rubio’s theoretical measure method for solving classical optimal control problems. (English) Zbl 1405.49023
Summary: In this paper, a revised measure-theoretical approach is applied for solving some classical optimal control problems. Indeed, the problem is converted into an optimization problem in measure space and then it is transformed into a finite dimensional nonlinear programming problem by using approximation scheme. At last, the nearly optimal control and trajectory functions are determined from the solution of the nonlinear optimization problem. A numerical example is given to demonstrate the efficiency of this method.
49M37 Numerical methods based on nonlinear programming
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics
49M25 Discrete approximations in optimal control