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
         
        
        
        
        
        
            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;
         
        
        
        
            Conference_Titel : 
Intelligent Control and Information Processing (ICICIP), 2013 Fourth International Conference on
         
        
            Conference_Location : 
Beijing
         
        
            Print_ISBN : 
978-1-4673-6248-1
         
        
        
            DOI : 
10.1109/ICICIP.2013.6568169