Title :
Robust Stability of Discrete-Time Stochastic Neural Networks with Markovian Jumping Parameters and Mode-Dependent Delays
Author :
Qiu, Jiqing ; He, Haikuo
Author_Institution :
Sch. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Abstract :
This paper investigates the problem of robust stability for a class of uncertain discrete-time stochastic recurrent neural networks (RNNs) with Markovian jumping parameters and mode-dependent delays. Stochastic item is nonlinear, and jumping parameters are considered as discrete time, discrete-state Markov process. We can get novel robust stability conditions in terms of linear matrix inequality (LMI) approach. Furthermore, we will introduce into some free weighting matrices by adding to a zero item in order to lead to much less conservative results. At last, a numerical example is given to illustrate the effectiveness of the proposed method.
Keywords :
Markov processes; delays; discrete time systems; linear matrix inequalities; recurrent neural nets; stability; stochastic systems; uncertain systems; Markovian jumping parameters; discrete-state Markov process; free weighting matrices; linear matrix inequality; mode-dependent delays; robust stability; uncertain discrete-time stochastic recurrent neural networks; Bismuth; Computer networks; Delay effects; Helium; Linear matrix inequalities; Neural networks; Recurrent neural networks; Robust stability; Stability analysis; Stochastic processes;
Conference_Titel :
Innovative Computing, Information and Control (ICICIC), 2009 Fourth International Conference on
Conference_Location :
Kaohsiung
Print_ISBN :
978-1-4244-5543-0
DOI :
10.1109/ICICIC.2009.324