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LaSalle-type theorem for neutral stochastic functional differential equations with Markovian switching

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3 Author(s)
Wang Tong ; College of Information Sciences and Technology, Donghua University Shanghai 201620, P.R. China ; Ding Yongsheng ; Zhang Lei

The main aim of this paper is to establish the LaSalle-type theorem for the solution of the neutral stochastic differential functional equations (NSDFEs) with Markovian switching. These stochastic versions are then applied to establish sufficient criteria for the stochastically asymptotic stability of the functional equations. Linear NSDFEs with Markovian switching examples will be discussed to illustrate the theory.

Published in:

Control Conference (CCC), 2012 31st Chinese

Date of Conference:

25-27 July 2012