Accession Number : AD0619533

Title :   SOME GEOMETRIC ASPECTS OF OPTIMAL CONTROL PROBLEMS WITH STATE INEQUALITY CONSTRAINTS.

Descriptive Note : Doctoral thesis,

Corporate Author : CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH

Personal Author(s) : Saunders,K. V.

Report Date : JUL 1965

Pagination or Media Count : 131

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)

Descriptors :   (*OPTIMIZATION, CONTROL SYSTEMS), (*CONTROL SYSTEMS, OPTIMIZATION), (*GEOMETRY, CONTROL SYSTEMS), INEQUALITIES, CALCULUS OF VARIATIONS, CURVE FITTING, VECTOR ANALYSIS, OPERATIONS RESEARCH, MECHANICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE