Stochastic stability of discrete-time uncertain recurrent neural networks with Markovian jumping and time-varying delays

Mathematical and Computer Modelling - Tập 54 - Trang 1979-1988 - 2011
M. Syed Ali1, M. Marudai2
1Department of Mathematics, Thiruvalluvar University, Vellore-632 106, Tamilnadu, India
2Department of Mathematics, Bharathidasan University, Trichy-620 024, Tamilnadu, India

Tài liệu tham khảo

Cao, 2005, Global exponential stability and periodicity of recurrent neural networks with time delays, IEEE Trans. Circuits Syst. I, 52, 920, 10.1109/TCSI.2005.846211 Cao, 2005, Global asymptotic and robust stability of recurrent neural networks with time delays, IEEE Trans. Circuits Syst. I, 52, 417, 10.1109/TCSI.2004.841574 Cao, 2005, A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach, Chaos Solitons Fractals, 24, 1317, 10.1016/j.chaos.2004.09.063 Chen, 2001, Global exponential stability of delayed Hopfield neural networks, Neural Netw., 14, 977, 10.1016/S0893-6080(01)00059-4 Zhang, 2007, Robust exponential stability of recurrent neural networks with multiple time varying delays, IEEE Trans. Circuits Syst. II, Exp. Briefs, 54, 730, 10.1109/TCSII.2007.896799 Arik, 2002, An improved global stability result for delayed cellular neural networks, IEEE Trans. Circuits Syst. I, 49, 1211, 10.1109/TCSI.2002.801264 Arik, 2000, On the global asymptotic stability of delayed cellular neural networks, IEEE Trans. Circuits Syst. I, 47, 571, 10.1109/81.841859 Lu, 2009, Delay-dependent H∞ control for discrete-time uncertain recurrent neural networks with interval time-varying delay, Int. J. Innovative Comput. Inform. Control, 5, 3483 Lu, 2008, A delay-dependent approach to stability for static recurrent neural networks with mixed time-varying delays, Int. J. Innovative Comput. Inform. Control, 4, 1661 Nakura, 2010, Stochastic optimal tracking with preview by state feedback for linear discrete-time Markovian jump systems, Int. J. Innovative Comput. Inform. Control, 6, 15 da Silva, 2007, A novel approach based on recurrent neural networks applied to nonlinear systems optimization, Appl. Math. Modelling, 31, 78, 10.1016/j.apm.2005.08.007 Hu, 2004, Stochastic Hopfield neural networks, J. Phys. A: Math. Gen., 9, 47 Joya, 2002, Hopfield neural networks for optimization: study of the different dynamics, Neurocomputing, 43, 219, 10.1016/S0925-2312(01)00337-X Jing, 2010, Global exponential stability in Cohen–Grossberg neural networks with inverse holder neuron activations and impulses on time scales, ICIC Express Lett., 4, 647 Qiu, 2009, Global exponential stability of high order recurrent neural network with time-varying delays, Appl. Math. Modelling, 33, 198, 10.1016/j.apm.2007.10.021 Xia, 2008, LMI conditions for global asymptotic stability of neural networks with discrete and distributed delays, ICIC Express Lett., 2, 257 Zhao, 2004, Global asymptotic stability of Hopfield neural network involving distributed delays, Neural Netw., 17, 47, 10.1016/S0893-6080(03)00077-7 Mao, 1998, Robust stability of uncertain stochastic delay differential equations, Systems Control Lett., 35, 325, 10.1016/S0167-6911(98)00080-2 Wang, 2002, Robust filtering for bilinear uncertain stochastic discrete-time systems, IEEE Trans. Signal Process., 50, 560, 10.1109/78.984737 Wang, 2007, Exponential stability of uncertain stochastic neural networks with mixed time delays, Chaos Solitons Fractals, 32, 62, 10.1016/j.chaos.2005.10.061 Yu, 2007, Global robust stability of neural networks with time varying delays, J. Comput. Appl. Math., 206, 679, 10.1016/j.cam.2006.08.017 Lu, 2009, Delay-dependent approach to robust stability for uncertain discrete stochastic recurrent neural networks with interval time-varying delays, ICIC Express Lett., 3, 457 Gao, 2009, Global robust exponential stability of discrete-time interval BAM neural networks with time-varying delays, Appl. Math. Modelling, 33, 1270, 10.1016/j.apm.2008.01.019 Hu, 2002, Global stability of a class of discrete-time recurrent neural networks, IEEE Trans. Circuits Syst. I, 49, 1104, 10.1109/TCSI.2002.801284 Liu, 2007, Discrete-time BAM neural networks with variable delays, Phys. Lett. A, 367, 322, 10.1016/j.physleta.2007.03.037 Liu, 2007, Discrete-time recurrent neural networks with time-varying delays: exponential stability analysis, Phys. Lett. A, 362, 480, 10.1016/j.physleta.2006.10.073 Liu, 2008, Robust stability of discrete-time stochastic neural networks with time-varying delays, Neurocomputing, 71, 823, 10.1016/j.neucom.2007.03.008 Mohamad, 2003, Exponential stability of continuous-time and discrete-time cellular neural networks with delays, Appl. Math. Comput., 135, 17, 10.1016/S0096-3003(01)00299-5 Song, 2007, A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays, Phys. Lett. A, 368, 134, 10.1016/j.physleta.2007.03.088 Wang, 2006, Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks, IEEE Trans. Circuits Syst. I, 53, 1373, 10.1109/TCSI.2006.874179 Xiong, 2005, Global exponential stability of discrete-time Cohen–Grossberg neural networks, Neurocomputing, 64, 433, 10.1016/j.neucom.2004.08.004 Zhang, 2008, Improved delay-dependent exponential stability criteria for discrete-time recurrent neural networks with time-varying delays, Neurocomputing, 72, 321, 10.1016/j.neucom.2008.01.006 Zhang, 2009, Robust delay-dependent stability of discrete-time stochastic neural networks with time varying delay, Neurocomputing, 72, 1265, 10.1016/j.neucom.2008.01.028 Xie, 2005, Stochastic robust analysis for Markovian jumping neural networks with time delays, ICNC, 1, 386 Liao, 2001, Stability of stochastic neural networks, Neural Parallel Sci. Comput., 4, 205 P. Gahinet, A. Nemirovski, A. Laub, M. Chilali, LMI control toolbox user’s guide, Massachusetts, The Mathworks, 1995. Boyd, 1994