On the Almost Sure Stability of Linear Stochastic Distributed-Parameter Dynamical Systems

[+] Author and Article Information
P. K. C. Wang

Department of Electrical Engineering, University of Southern California, Los Angeles, Calif.

J. Appl. Mech 33(1), 182-186 (Mar 01, 1966) (5 pages) doi:10.1115/1.3624976 History: Received February 26, 1965; Revised June 15, 1965; Online September 15, 2011


In this paper, sufficient conditions for almost sure stability and asymptotic stability of certain classes of linear stochastic distributed-parameter dynamical systems are derived. These systems are described by a set of linear partial differential or differential-integral equations with stochastic parameters. Various examples are given to illustrate the application of the main results.

Copyright © 1966 by ASME
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