Stability Studies of Product-Type Nonlinear Systems

[+] Author and Article Information
Norio Miyagi

Department of Mechanical Engineering, College of Technology, Dai-Ichi University, Kagoshima, 899-43 Japan

Hayao Miyagi

Department of Electronics and Information Engineering, Ryukyu University, Okinawa, 903-01 Japan

J. Dyn. Sys., Meas., Control 113(3), 531-534 (Sep 01, 1991) (4 pages) doi:10.1115/1.2896445 History: Received September 19, 1989; Revised September 17, 1990; Online March 17, 2008


This paper discusses the possibility of the existence of extended Lyapunov functions for stability studies in dynamical systems with product-type nonlinear feedback. Stability criteria for the system are given, which introduce extended Lyapunov functions. The method developed in the paper is applied to a van der Pol-type nonlinear system. The superiority of the function proposed is illustrated by numerical examples.

Copyright © 1991 by The American Society of Mechanical Engineers
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