Accession Number : AD0660514

Title :   ON TWO TIME-SCALES IN LINEAR SYSTEMS WITH SPECIAL REFERENCE TO ADAPTIVE CONTROL.

Descriptive Note : Technical rept.,

Corporate Author : YALE UNIV NEW HAVEN CONN DUNHAM LAB

Personal Author(s) : Narendra,Kumpati S. ; Shapiro,I. Joseph

Report Date : 31 OCT 1967

Pagination or Media Count : 30

Abstract : A comparison is made of various methods presented in the literature for treating Linear systems with time-varying parameters. These variations are considered to arise both from small-amplitude signals of arbitrary frequency and also from signals which are much slower than the dominant signals of the system. Two time-domain approaches and one frequency-domain approach are shown to be equivalent, resulting in identical truncated series solutions, expressed in terms of a single time variable. The method is extended to the case where the slow variations are expressed as functions of a second-time-variable. The result is shown to be equivalent to a two time-scale approach described in the literature. A general unified approach is suggested encompassing all the above methods, whether for single- or double-time-scale series solutions. (Author)

Descriptors :   (*ADAPTIVE SYSTEMS, CONTROL SYSTEMS), (*CONTROL SYSTEMS, TIME SERIES ANALYSIS), MATHEMATICAL MODELS, OPTIMIZATION, LINEAR SYSTEMS, ITERATIONS, PERTURBATION THEORY

Subject Categories : Operations Research
      Test Facilities, Equipment and Methods

Distribution Statement : APPROVED FOR PUBLIC RELEASE