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