PERTURBED OPTIMAL CONTROL PROBLEMS.
Abstract
The effects of perturbations of an 6ptimal control problem upon its optimal control are studied for two classes of optimal control problems. The first class consists of fixed-time, fixed-initial-point, free-terminal-point optimal control problems. The second class consists of certain calculus-of-variations problems interpreted as optimal control problems. The principal results of this study are that an optimal control depends continuously upon the optimal control problem, with respect to certain natural topologies, provided this optimal control is essentially unique, and that an essentially unique optimal control exists for an optimal control problem in the classes studied here, under certain additional assumptions. Some auxiliary results in the calculus of variations are derived to obtain the above conclusions for the second class of problems studied. Among these are an implicit function theorem for absolutely continuous functions and the proof of existence of a field of extremals for certain calculus-of-variations problems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1966
- Accession Number
- AD0486916
Entities
People
- Andrew J. Korsak
Organizations
- University of California, Berkeley