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Exponential stability of neutral stochastic differential functional equations with Markovian switching

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2 Author(s)
Xining Li ; School of Mathematics and Computer Science, NingXia University, YinChuan, 750021, China ; Qimin Zhang

A sufficient condition of exponential stability is established for a class of neutral stochastic differential functional equations Markovian jumping parameters. The analysis consist in using Burkholder-Davis-Gundy lemma and Ito's formula derived for our stability purposes. The stability results derived also are applied to a piecewise deterministic system which arises quite often in practice in systems with multiple modes. An application to neutral stochastic differential functional equation is studied to illustrate our theory.

Published in:

2009 International Conference on Machine Learning and Cybernetics  (Volume:1 )

Date of Conference:

12-15 July 2009