Share Email Print

Proceedings Paper

A Generalized Lyapunov Function For Lienard-Type Nonlinear Systems
Author(s): H. Miyagi; K. Yamashita
Format Member Price Non-Member Price
PDF $17.00 $21.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

The direct method of Lyapunov is used to study the stability of a Lienard-type nonlinear system. The system is given in a form of n second-order ordinary differential equations. To establish the procedure for constructing Lyapunov function, a similar system is derived first, by multiplying both sides of the system equation by a transformation matrix. Then, a stability criterion for the Lienard-type nonlinear system, which introduces a new type Lyapunov function, is presented. The function obtained is a generalized Lyapunov function. The construction procedure given in this paper is applied to an example system represented by so-called Lienard's equation and the superiority of the proposed function is illustrated by numerical examples.

Paper Details

Date Published: 19 October 1987
PDF: 7 pages
Proc. SPIE 0854, IECON '87: Motor Control and Power Electronics, (19 October 1987); doi: 10.1117/12.942972
Show Author Affiliations
H. Miyagi, Ryukyu University (Japan)
K. Yamashita, Ryukyu University (Japan)

Published in SPIE Proceedings Vol. 0854:
IECON '87: Motor Control and Power Electronics
Martin F. Schlecht, Editor(s)

© SPIE. Terms of Use
Back to Top