SOME GEOMETRIC ASPECTS OF OPTIMAL CONTROL PROBLEMS WITH STATE INEQUALITY CONSTRAINTS.
Abstract
This thesis deals with the investigation of geometric aspects of optimal control problems with state inequality constraints. An 'unrestricted' maximum principle is derived, whose associated adjoint equation possesses a solution which is continuous, except under special circumstances, even at junction points of an optimal trajectory with the state boundary. This result is shown to be valid under the assumption of regularity (in the sense of Pontryagin) as well as for certain non-regular problems. The relation between the 'unrestricted' maximum principle and the restricted one of Pontryagin is demonstrated. This investigation is based on the geometric notions introduced by Blaquiere and Leitmann and constitutes an extension of their work to problems with state variable inequality constraints. This geometric approach is contrasted with the approach of Dynamic Programming. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1965
- Accession Number
- AD0619533
Entities
People
- K. V. Saunders
Organizations
- University of California, Berkeley