Passivity Analysis of Stochastic Neural Networks With Multiple Time Delays

This paper deals with the problem of passivity analysis for stochastic neural networks with leakage, discrete and distributed delays. By using delay partitioning technique, free weighting matrix method and stochastic analysis technique, several sufficient conditions for the passivity of the addressed neural networks are established in terms of linear matrix inequalities (LMIs), in which both the time-delay and its time derivative can be fully considered. A numerical example is given to show the usefulness and effectiveness of the obtained results. Keywords—Passivity, Stochastic neural networks, Multiple time delays, Linear matrix inequalities (LMIs).

[1]  S. C. Shrivastava,et al.  Neural network applications in smart antenna arrays: A review , 2012 .

[2]  Qiankun Song,et al.  Passivity analysis of discrete-time stochastic neural networks with time-varying delays , 2009, Neurocomputing.

[3]  Herbert Witte,et al.  Common Optimization of Adaptive Preprocessing Units and a Neural Network during the Learning Period. Application in EEG Pattern Recognition , 1997, Neural Networks.

[4]  Huijun Gao,et al.  New Passivity Analysis for Neural Networks With Discrete and Distributed Delays , 2010, IEEE Transactions on Neural Networks.

[5]  Peng Shi,et al.  Passivity Analysis for Discrete-Time Stochastic Markovian Jump Neural Networks With Mixed Time Delays , 2011, IEEE Transactions on Neural Networks.

[6]  Zidong Wang,et al.  Robust stability analysis of generalized neural networks with discrete and distributed time delays , 2006 .

[7]  Zhenjiang Zhao,et al.  Passivity analysis of stochastic neural networks with time-varying delays and leakage delay , 2014, Neurocomputing.

[8]  K. Mathiyalagan,et al.  New robust passivity criteria for stochastic fuzzy BAM neural networks with time-varying delays , 2012 .

[9]  P. Shi,et al.  Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays , 2007 .

[10]  Wu‐Hua Chen,et al.  Mean square exponential stability of uncertain stochastic delayed neural networks , 2008 .

[11]  R. Lu,et al.  Passivity analysis of stochastic time-delay neural networks , 2010 .

[12]  Huaguang Zhang,et al.  On passivity analysis for stochastic neural networks with interval time-varying delay , 2010, Neurocomputing.

[13]  Pagavathigounder Balasubramaniam,et al.  Global robust passivity analysis for stochastic fuzzy interval neural networks with time-varying delays , 2012, Expert Syst. Appl..

[14]  Rathinasamy Sakthivel,et al.  Robust passivity analysis of fuzzy Cohen-Grossberg BAM neural networks with time-varying delays , 2011, Appl. Math. Comput..

[15]  Wei Xing Zheng,et al.  Stochastic state estimation for neural networks with distributed delays and Markovian jump , 2012, Neural Networks.

[16]  Huijun Gao,et al.  New passivity results for uncertain discrete-time stochastic neural networks with mixed time delays , 2010, Neurocomputing.

[17]  G. Feng,et al.  Delay-dependent stability for uncertain stochastic neural networks with time-varying delay , 2007 .

[18]  Jinde Cao,et al.  Global asymptotic and robust stability of recurrent neural networks with time delays , 2005, IEEE Trans. Circuits Syst. I Regul. Pap..

[19]  R. Rakkiyappan,et al.  Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term , 2011 .

[20]  Pagavathigounder Balasubramaniam,et al.  Global Robust Passivity Analysis for Stochastic Interval Neural Networks with Interval Time-Varying Delays and Markovian Jumping Parameters , 2011, J. Optim. Theory Appl..

[21]  Jinde Cao,et al.  Globally exponential stability conditions for cellular neural networks with time-varying delays , 2002, Appl. Math. Comput..

[22]  Xin Yang,et al.  New delay-variation-dependent stability for neural networks with time-varying delay , 2013, Neurocomputing.

[23]  Wen Yu,et al.  Passivity analysis for dynamic multilayer neuro identifier , 2003 .

[24]  Y. Wang,et al.  Stability Analysis of Markovian Jumping Stochastic Cohen–Grossberg Neural Networks With Mixed Time Delays , 2008, IEEE Transactions on Neural Networks.