ON THE CONVERGENCE OF THE RITZ-GALERKIN PROCEDURE IN THE CALCULATION OF OPTIMAL CONTROL BY THE EPSILON TECHNIQUE,

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Abstract:

The paper investigates the Ritz-Galerkin procedure in obtaining the optimal solution for Balakrishnans Epsilon technique. The optimal control problems with constrainted control and unconstrainted state space are considered. A minimizing sequence for this epsilon problem is constructed and the covergence of the method is proved. Author

Author(s):
Huang, Sheng-chao
Author Organization(s):
CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE
Pagination:
0018

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
UCLA-69-47, AFOSR-69-2564TR
Contract/Grant Number(s):
AF-AFOSR-1408-68
Task Number(s):
974901
Project Number(s):
AF-9749
Monitor Series:
69-2564TR
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*CONTROL SYSTEMS, OPTIMIZATION), (*BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS)), DIFFERENTIAL EQUATIONS, VECTOR SPACES, SEQUENCES(MATHEMATICS), CONVERGENCE, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics, Test Facilities, Equipment and Methods
Keyword(s):
CONTROL THEORY, EPSILON TECHNIQUE, RITZ GALERKIN METHOD, SOBOLEV SPACE
Report Date:
1969 Aug 01