Title
Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps.
Abstract
This paper is concerned with stochastic finite-time boundedness analysis for a class of uncertain discrete-time neural networks with Markovian jump parameters and time-delays. The concepts of stochastic finite-time stability and stochastic finite-time boundedness are first given for neural networks. Then, applying the Lyapunov approach and the linear matrix inequality technique, sufficient criteria on stochastic finite-time boundedness are provided for the class of nominal or uncertain discrete-time neural networks with Markovian jump parameters and time-delays. It is shown that the derived conditions are characterized in terms of the solution to these linear matrix inequalities. Finally, numerical examples are included to illustrate the validity of the presented results.
Year
DOI
Venue
2014
10.1016/j.neucom.2013.12.054
Neurocomputing
Keywords
Field
DocType
Markovian jump systems,Neural networks,Discrete-time systems,Stochastic finite-time boundedness,Linear matrix inequalities
Applied mathematics,Stochastic neural network,Artificial intelligence,Artificial neural network,Linear matrix inequality,Lyapunov function,Pattern recognition,Markov chain,Stochastic process,Discrete time and continuous time,Calculus,Jump process,Mathematics
Journal
Volume
ISSN
Citations 
140
0925-2312
24
PageRank 
References 
Authors
0.82
23
5
Name
Order
Citations
PageRank
Yingqi Zhang11905.97
Peng Shi215816704.36
Sing Kiong Nguang31326103.71
Jianhua Zhang412012.91
H. R. Karimi53569223.59