AN INTRODUCTION TO OPTIMAL CONTROL THEORY.

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Abstract:

The report presents an introduction to some of the concepts and results currently popular in optimal control theory. The introduction is intended for someone acquainted with ordinary differential equations and real variables, but with no prior knowledge of control theory. The material covered includes the problems of controllability, controllability using special e.g., bang-bang controls, the geometry of linear time optimal processes, general existence of optimal controls, and the Pontryagin maximum principle. Author

Author(s):
Strauss, Aaron
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Supplementary Note:
Revision of Maryland Univ., College Park. Inst. for Fluid Dynamics and Applied Mathematics. Rept. no. BN-494, 'An Introduction to Optimal Control Theory.'
Pagination:
0155

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1019
Contract/Grant Number(s):
DA-31-124-ARO(D)-462
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*CONTROL SYSTEMS, TEXTBOOKS, DIFFERENTIAL EQUATIONS, CALCULUS OF VARIATIONS, OPTIMIZATION, THEOREMS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
MAXIMUM PRINCIPLE, BANG BANG CONTROL, CONTROL THEORY
Report Date:
1969 Nov 01