VERIFICATION OF AIZERMAN'S CONJECTURE FOR A CLASS OF 3RD ORDER SYSTEMS

Abstract

Given a linear system with three poles and no zeros whose equilibrium point is asymptotically stable for any linear loop gain k, such that k1<k<k2 the linear gain element can be replaced by any continuous single-valued nonlinear function f(e) such that k1<f(e)e<k2 and the equilibrium point of the nonlinear system will be asymptotically stable in the large. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 12, 1961
Accession Number
AD0277369

Entities

People

  • A.r. Bergen
  • I.j. Williams

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Linear Systems
  • Nonlinear Systems
  • Verification

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Surface Engineering/Surface Coating Technology.