DocumentCode :
624705
Title :
Exponential stability of stochastic MJSNNs with partly unknown transition probabilities
Author :
Chunge Lu ; Linshan Wang
Author_Institution :
Coll. of Math. Sci., Ocean Univ. of China, Qingdao, China
fYear :
2013
fDate :
9-11 June 2013
Firstpage :
730
Lastpage :
735
Abstract :
This paper investigates exponential stability of stochastic Markovian jumping static neural networks (MJSNNs) with mode-dependent time-varying delays and partly unknown transition probabilities. Based on the Lyapunov-Krasovskii functional method and stochastic analysis technique, some new stochastic stability criteria are derived to guarantee the exponential stability in mean square of Markovian jumping static neural networks in terms of linear matrix inequalities. A numerical example is provided to illustrate the efficiency of the main results obtained at the end.
Keywords :
Lyapunov methods; Markov processes; asymptotic stability; least mean squares methods; linear matrix inequalities; neural nets; Lyapunov-Krasovskii functional method; exponential stability; linear matrix inequalities; mean square; mode-dependent time-varying delays; partly unknown transition probabilities; stochastic MJSNN; stochastic Markovian jumping static neural networks; stochastic analysis technique; stochastic stability criteria; Biological neural networks; Control theory; Delays; Stability analysis; Stochastic processes;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Control and Information Processing (ICICIP), 2013 Fourth International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-6248-1
Type :
conf
DOI :
10.1109/ICICIP.2013.6568169
Filename :
6568169
Link To Document :
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