ON THE STABILITY OF CONTROL SYSTEMS WITH TWO CONTROLLERS

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)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1961
Accession Number
AD0264153

Entities

People

  • A.m. Letov
  • A.n. Duvakin

Organizations

  • TRW Inc.

Tags

DTIC Thesaurus Topics

  • Construction
  • Control Systems
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Lyapunov Functions
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Robotics and Automation.
  • Systems Analysis and Design