Stochastic Sample Stability of Oscillatory Systems

[+] Author and Article Information
S. T. Ariaratnam, W.-C. Xie

Solid Mechanics Division, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1

J. Appl. Mech 55(2), 458-460 (Jun 01, 1988) (3 pages) doi:10.1115/1.3173699 History: Received August 04, 1987; Revised November 09, 1987; Online July 21, 2009


A method of obtaining a sufficient almost-sure asymptotic stability condition for second-order, linear oscillatory systems with an ergodic damping coefficient is presented. In this method, the probabilistic property of the derivative process of the damping coefficient is taken into account. A sufficient condition for almost-sure asymptotic stability is derived and numerical results are presented for the case of a Gaussian noise coefficient. The results are found to be an improvement over previously available results for oscillatory systems with stochastic damping.

Copyright © 1988 by ASME
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