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Proceedings Paper

A Generalized Lyapunov Function For Lienard-Type Nonlinear Systems
Author(s): H. Miyagi; K. Yamashita
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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)

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