Kinetic Lyapunov Function for Stability Analysis of Nonlinear Control Systems

[+] Author and Article Information
S. S. L. Chang

Department of Electrical Engineering, New York University, New York, N. Y.

J. Basic Eng 83(1), 91-94 (Mar 01, 1961) (4 pages) doi:10.1115/1.3658901 History: Received May 31, 1960; Online November 04, 2011


A kinetic Lyapunov function is a Lyapunov function of the first derivatives of the state variables. Its use leads to a sufficient condition for the asymptotic stability in the large of a general nonlinear system without hysteresis. The foregoing sufficient condition is similar to but more stringent than the local stability condition for linearized systems.

Copyright © 1961 by ASME
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