Affiliation:
1. Department of Electrical Engineering, University of Southern California, Los Angeles, Calif.
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.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
18 articles.
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1. Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations;Nonlinear Analysis: Modelling and Control;2019-06-27
2. Index;Stochastic Stability of Differential Equations in Abstract Spaces;2019-04-30
3. Appendix;Stochastic Stability of Differential Equations in Abstract Spaces;2019-04-30
4. Some Applications Related to Stochastic Stability;Stochastic Stability of Differential Equations in Abstract Spaces;2019-04-30
5. Stability of Stochastic Functional Differential Equations;Stochastic Stability of Differential Equations in Abstract Spaces;2019-04-30