Masters Theses

Abstract

"The problem undertaken in this thesis is to present Lyapunov's method of stability as i t applies to control systems and to use it in the stability analysis of nonlinear control systems. The variable gradient method of generating Lyapunov functions is presented since this seems the best general procedure for obtaining Lyapunov functions. Also, the integration of matrices method is presented as a comparison. ii

Procedures for the use of the variable gradient method and the integration of matrices method are written and several examples are used to illustrate these procedures.

It is concluded that Lyapunov's method is very definitely of value as a method of solving for the stability of nonlinear systems. It is the only method, at the present time, that does allow the direct solution of stability for nonlinear systems"-Abstract p. ii

Advisor(s)

Robert D. Chenowith

Committee Member(s)

Roger E. Nolte
Illegible Signature
Charles L. Edwards

Department(s)

Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering

Publisher

Missouri School of Mines and Metallurgy

Publication Date

1963

Pagination

vi, 60 pages

Note about bibliography

Includes bibliographical references (page 59)

Rights

© 1963 John Joseph Komo, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Thesis Number

T 1517

Print OCLC #

5954318

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