Doctoral Dissertations


"The Popov criterion for absolute stability of nonlinear feedback systems is applied to several example problems. Model transformations such as pole shifting and zero shifting extend the class of systems to which the criterion applies. Extensions of the criterion having simple graphical interpretations yield stronger results for systems with constant monotonic slope-bounded nonlinearities. Additional extensions lacking simple graphical interpretations in the complex plane are also demonstrated by example.

Stability throughout a region in parameter space is discussed, and the Kalman conjecture is verified for a new class of systems. The Popov criterion is also used to prove BIBO stability, process stability, and degree of stability. The conservatism of the criterion, i. e., the margin of actual performance beyond guaranteed performance, is discussed in the light of simulation results.

An interactive computer program is developed to make the Popov criterion, along with two of its extensions, a convenient tool for the design of stable systems. The user has the options of completely automatic parameter adjustment or intervention at any stage of the procedure"--Abstract, page ii.


Fannin, D. Ronald

Committee Member(s)

Kern, Frank J.
Noack, Thomas L.
Grimm, L. J.
Ho, C. Y. (Chung You), 1933-1988


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


University of Missouri--Rolla

Publication Date



viii, 150 pages

Note about bibliography

Includes bibliographical references (pages 110-115).


© 1973 Allen Joseph Rushing, All rights reserved.

Document Type

Dissertation - Restricted Access

File Type




Library of Congress Subject Headings

Feedback control systems -- Design -- Computer programs
Control theory -- Mathematical models
Differential equations

Thesis Number

T 2792

Print OCLC #


Electronic OCLC #


Link to Catalog Record

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