Conditions for Global Stability of Two Linearly Interconnected Nonlinear Systems.

Abstract

Simple and easy to use conditions are developed which guarantee global stability of two linearly interconnected nonlinear systems. The conditions consist of scalar frequency response conditions of Popov type on the linear dynamical subsystems and inequalities involving the sector bounds and parameters in the problem; the inequalities have a simple graphical interpretation in terms of the product of the interconnection coefficients. Examples with particular numerical values are presented to illustrate application of the results.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
ADA012915

Entities

People

  • George D. Ianculescu
  • N. Harris Mcclamroch

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Frequency
  • Frequency Response
  • Inequalities
  • Nonlinear Systems

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.