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

1 March 1966

journal article
Published by ASME International in Journal of Applied Mechanics

Vol. 33 (1) , 182-186
https://doi.org/10.1115/1.3624976

Abstract

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.

Keywords

STABILITY
DYNAMIC SYSTEMS
EQUATIONS

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