Title :
Robust stability of discrete-time stochastic BAM neural networks with Markovian jumping parameters and time-varying delays
Author :
Shi, Gui-Ju ; Ren, Mi-Feng ; Gao, Jun-Ling
Author_Institution :
Electr. Inst., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
This paper investigates the problem of robust stability for a class of uncertain discrete-time stochastic bidirectional associative memory (BAM) neural networks with Markovian jumping parameters and time-varying delays. By employing the Lyapunov functional we can get novel robust stability conditions in terms of linear matrix inequality (LMI), which can be easily solved by MATLAB LMI toolbox. Furthermore, we will introduce into some free weighting matrices in order to lead to much less conservative results. At last, one numerical example is given to illustrate the effectiveness of the proposed results.
Keywords :
Lyapunov methods; Markov processes; delays; discrete time systems; linear matrix inequalities; neural nets; robust control; stability; stochastic systems; Lyapunov functional; Markovian jumping parameter; bidirectional associative memory; discrete-time stochastic BAM neural networks; free weighting matrices; linear matrix inequality; robust stability; time-varying delays; Artificial neural networks; Delay; Robustness; Tunneling magnetoresistance; Discrete-time; Markovian jumping parameters; robust stability; stochastic;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6526-2
DOI :
10.1109/ICMLC.2010.5580654