×

zbMATH — the first resource for mathematics

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.
MSC:
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
PDF BibTeX XML Cite