On the Application of Zubov’s Method of Constructing Liapunov Functions for Nonlinear Control Systems

[+] Author and Article Information
G. P. Szegö

Control and Information Systems Laboratory, School of Electrical Engineering, Purdue University, Lafayette, Ind.; RIAS, Baltimore, Md.

J. Basic Eng 85(2), 137-142 (Jun 01, 1963) (6 pages) doi:10.1115/1.3656548 History: Received April 05, 1962; Online November 03, 2011


The Liapunov second method is formalized in a set of theorems which yield to a stability criterion for nonlinear autonomous systems. Various procedures for constructing Liapunov’s functions by the Zubov method are discussed and several examples presented.

Copyright © 1963 by ASME
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