Masters Theses

Abstract

"The Kalman and Aizerman conjectures are of value because, if true, they allow the replacement of a nonlinear stability problem by an equivalent linear stability problem. However, the conjectures are not true in general. This thesis presents a method for verifying the Kalman conjecture. A theorem is also presented which extends the usefulness of the method and allows several very general results to be obtained. The method is based on an off-axis circle criterion of Cho and Narendra and a consideration of the curvature of the Nyquist locus of the transfer f unction. A table is included which summarizes the systems known to satisfy the Aizerman and/or Kalman conjecture (s)"-- Abstract, p. ii

Advisor(s)

Fannin, D. Ronald

Committee Member(s)

Kern, Frank J.
Trimble, S. Y.

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1975

Pagination

vi, 39 pages

Note about bibliography

Includes bibliographical references (pages 37-38)

Rights

© 1975 Charles Edward Connelly, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 4031

Print OCLC #

5982089

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