Accession Number : AD0264153

Title :   ON THE STABILITY OF CONTROL SYSTEMS WITH TWO CONTROLLERS

Corporate Author : TRW SPACE TECHNOLOGY LABS LOS ANGELES CALIF

Personal Author(s) : DUVAKIN,A.N. ; LETOV,A.M.

Report Date : MAY 1961

Pagination or Media Count : 1

Abstract : An analysis is presented on the control system described by a differential equation. The problem is to determine the sufficient conditions for the asymptotic stability of the trivial solution of the control system for any finite initial perturbations. Details are given on the construction of the Lyapunov function. ResultsARE USED TO DETERMINE THE SUFFICIENT CONDITIONS FOR THE STABILITY OF THE TRIVIAL SOLUTION OF AN N + 2 order system whose characteristic equation of the first approximation has a zero root of multiplicity two. An example is given which considers a control system with two controllers. (Author)

Descriptors :   *CONTROL SYSTEMS, *DIFFERENTIAL EQUATIONS, *FUNCTIONS(MATHEMATICS), INEQUALITIES, LINEAR SYSTEMS, MOTION, PERTURBATION THEORY, STABILITY, THEORY, TIME

Distribution Statement : APPROVED FOR PUBLIC RELEASE