Accession Number : AD0634309

Title :   THE ABSOLUTE STABILITY OF SYSTEMS WITH MULTIPLE NONLINEARITIES.

Descriptive Note : Doctoral thesis,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : DAVIES, Michael S.

Report Date : MAY 1966

Pagination or Media Count : 56

Abstract : Popov's criterion for the absolute stability of nonlinear systems is generalized to include a class of multivariable systems. Both the linear plant and the memoryless nonlinearity are assemed to have several inputs and outputs. Continuous time systems and systems involving time lag are treated. An extension to the main stability criterion may be applied when bounds are available on the slopes of the nonlinearity. It is shown that a simplified form of the criterion leads to a passivity condition for an N-port network. Although the stability criterion is in general difficult to apply, it is demonstrated that in some cases the condition may be simplified and still give useful results. (Author)

Descriptors :   (*CONTROL SYSTEMS, STABILITY), NONLINEAR SYSTEMS, TIME LAG THEORY, MATRICES(MATHEMATICS), INTEGRAL TRANSFORMS, DYNAMICS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE