A Generalized Gradient in Optimal Control.
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
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Gradient methods or methods of steepest descent in control-space have been found to be quite useful for the numerical solution of a large class of problems in optimal control. However, there is a large class of problems for which these methods have not been successful. To deal with this larger class of problems, a generalized gradient method is proposed. The convergence rate of this method is analyzed for a certain class of problems and the analysis is verified numerically. The analysis is then used to suggest improvements in the basic algorithm. Author
- Theoretical Mathematics