Accession Number : AD0676063

Title :   EXISTENCE THEORIES FOR LAGRANGE AND PONTRYAGIN PROBLEMS OF THE CALCULUS OF VARIATIONS AND OPTIMAL CONTROL. MORE DIMENSIONAL EXTENSIONS IN SOBOLEV SPACES,

Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF MATHEMATICS

Personal Author(s) : Cesari,Lamberto

Report Date : 1966

Pagination or Media Count : 89

Abstract : The report contains a course given in Bressanone (Italy), June 10-18, 1966. The course concerns existence theorems for problems of optimal control and the calculus of variations. These theorems extend Filippov's existence theorem in optimal control theory, and the Tonelli-Nagumo theorem in the calculus of variations. Complete proofs are given for the case of lumped parameters. For the case of distributed parameters the theorems are only stated. (Author)

Descriptors :   (*CALCULUS OF VARIATIONS, THEOREMS), (*CONTROL SYSTEMS, OPTIMIZATION), FUNCTIONAL ANALYSIS, MEASURE THEORY, CONVEX SETS, PARTIAL DIFFERENTIAL EQUATIONS, SYMPOSIA, THEOREMS, ITALY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE