Exponential Stability of Stochastic Systems with Delay and Poisson Jumps

This paper focuses on the model of a class of nonlinear stochastic delay systems with Poisson jumps based on Lyapunov stability theory, stochastic analysis, and inequality technique. The existence and uniqueness of the adapted solution to such systems are proved by applying the fixed point theorem....

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Bibliographic Details
Main Authors: Wenli Zhu, Jiexiang Huang, Zhao Zhao
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/903821