Accession Number : AD0739262

Title :   Optimality of Linear Control Systems.

Descriptive Note : Research memo.,

Corporate Author : GRUMMAN AEROSPACE CORP BETHPAGE N Y RESEARCH DEPT

Personal Author(s) : Kreindler,Eliezer ; Jameson,Antony

Report Date : 01 JAN 1972

Pagination or Media Count : 22

Abstract : It is shown that every linear system with nondynamic feedback is optimal with respect to a quadratic performance index that includes a cross-product term between the state and control. If the index is further generalized to include derivatives of the control, every (sufficiently smooth) linear, finite-dimensional dynamic feedback and feedforward control system is optimal with respect to such an index. Methods of constructing all such indices are indicated, and some practical implications are discussed. (Author)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), (*LINEAR SYSTEMS, *OPTIMIZATION), DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, FEEDBACK

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE