Accession Number : AD0718437

Title :   On the Equivalence of Maximum Principle Open Loop Controllers and Caratheodory Feedback Controllers for Time-Delay Systems,

Corporate Author : MINNESOTA UNIV MINNEAPOLIS DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Koivo,Heikki N.

Report Date : FEB 1971

Pagination or Media Count : 19

Abstract : The optimal feedback gain matrix derived from the maximum principle for linear time-delay systems with quadratic cost satisfies an integral equation. On the other hand, if the extended Caratheodory lemma is used to solve the same problem, the optimal feedback gains satify a set of partial differential equations. It is shown that the resulting feedback gains are equivalent. (Author)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, DYNAMIC PROGRAMMING, DIFFERENCE EQUATIONS, LINEAR SYSTEMS, MATRICES(MATHEMATICS), SERIES(MATHEMATICS), CONVERGENCE

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE