SOME NONLINEAR SYSTEMS SATISFYING AIZERMAN'S CONJECTURE

Abstract

This analysis summarizes the types of first, second and third order nonlinear systems for which Aizerman's conjecture (concerning the use of a linearized model to determine sufficient conditions for stability) has been verified. These systems are described in terms of their block diagram representations, and through the use of block diagram transformations these systems are extended to cover larger classes of systems. Systems containing an equal number of poles and zeros are included by placing restrictions upon the derivative of the nonlinear function. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 12, 1961
Accession Number
AD0277368

Entities

People

  • I.j. Williams

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Nonlinear Systems

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.