Accession Number : AD0679487

Title :   THE QUADRATIC CRITERION FOR DISTRIBUTED SYSTEMS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Lukes,D. L. ; Russell,D. L.

Report Date : MAR 1968

Pagination or Media Count : 34

Abstract : The article explores the applicability of the quadratic criterion of optimality to the control of distributed parameter systems or, alternatively, to differential equations in a Hilbert space. It is shown that such application is indeed possible and, perhaps more important from the engineering point of view, that the optimal controls thus found are limits of optimal controls corresponding to finite dimensional models of the distributed or infinite dimensional, system. The theory is first developed in an abstract setting and then applied to specific examples. (Author)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), (*DIFFERENTIAL EQUATIONS, HILBERT SPACE), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE