Title :
Robust stability of switched uncertain stochastic recurrent neural networks with discrete and distributed delays
Author :
Sheng, Li ; Gao, Ming
Author_Institution :
Coll. of Inf. & Control Eng., China Univ. of Pet. (East China), Dongying, China
Abstract :
In this paper, some ideas of the switched systems are introduced into the field of neural networks and a class of switched uncertain stochastic recurrent neural networks (SUSRNNs) with discrete and distributed delays is investigated. In such neural networks, the features of switched systems, uncertain systems, stochastic systems, as well as time-delay systems are all taken into account. Based on the Lyapunov method and the stochastic analysis approach, some sufficient conditions are derived by means of linear matrix inequalities (LMIs) to guarantee the SUSRNNs to be globally robustly stable in the mean square. A simulation example is provided to illustrate the effectiveness of the proposed criteria.
Keywords :
Lyapunov matrix equations; delays; discrete systems; distributed control; linear matrix inequalities; recurrent neural nets; robust control; stochastic systems; uncertain systems; Lyapunov method; SUSRNN; discrete delays; distributed delays; linear matrix inequalities; robust stability; switched uncertain stochastic recurrent networks; time-delay systems; Artificial neural networks; Delay; Recurrent neural networks; Robustness; Stochastic processes; Switches; Uncertain systems; Distributed delays; Norm-bounded uncertainties; Recurrent neural networks; Stochastic systems; Switched systems;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968898