Design of state estimator for neural networks of neutral-type

In this paper, the design problem of state estimator for a class of neural networks of neutral-type is studied. A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using the Lyapunov method. The criterion can be easily solved by various convex optimization algorithms. A numerical example with simulation results is given to show the effectiveness of proposed method.

[1]  Ju H. Park,et al.  Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays , 2006, Appl. Math. Comput..

[2]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[3]  Ju H. Park.  Robust stability of bidirectional associative memory neural networks with time delays , 2006 .

[4]  Jinde Cao,et al.  Global asymptotic stability of neural networks with transmission delays , 2000, Int. J. Syst. Sci..

[5]  Daniel W. C. Ho,et al.  State estimation for delayed neural networks , 2005, IEEE Transactions on Neural Networks.

[6]  Ju H. Park,et al.  Global exponential stability of cellular neural networks with variable delays , 2006, Appl. Math. Comput..

[7]  M. Marchesi,et al.  Learning of Chua's circuit attractors by locally recurrent neural networks , 2001 .

[8]  V. Singh.  Robust stability of cellular neural networks with delay: linear matrix inequality approach , 2004 .

[9]  S. Arik.  An improved global stability result for delayed cellular neural networks , 2002 .

[10]  Chi-Chuan Hwang,et al.  Exponential synchronization of a class of chaotic neural networks , 2005 .

[11]  Ju H. Park.  An analysis of global robust stability of uncertain cellular neural networks with discrete and distributed delays , 2007 .

[12]  L. Fan,et al.  An artificial neural network as a model for chaotic behavior of a three-phase fluidized bed , 2002 .

[13]  Ju H. Park,et al.  A new stability criterion for bidirectional associative memory neural networks of neutral-type , 2008, Appl. Math. Comput..

[14]  Jinde Cao.  Global stability conditions for delayed CNNs , 2001 .

[15]  J. Lam,et al.  Delay-dependent exponential stability for a class of neural networks with time delays , 2005 .

[16]  Ke Chen,et al.  Applied Mathematics and Computation , 2022 .

[17]  Jinde Cao,et al.  An LMI approach to delay-dependent state estimation for delayed neural networks , 2008, Neurocomputing.

[18]  Zhanshan Wang,et al.  Global Asymptotic Stability of Delayed Cellular Neural Networks , 2007, IEEE Transactions on Neural Networks.

[19]  Ju H. Park,et al.  LMI optimization approach on stability for delayed neural networks of neutral-type , 2008, Appl. Math. Comput..

[20]  Ju H. Park,et al.  Novel delay-dependent robust stability criterion of delayed cellular neural networks , 2007 .

[21]  Jinde Cao,et al.  An estimation of upperbound of delays for global asymptotic stability of delayed Hopfield neural networks , 2002 .

[22]  Teh-Lu Liao,et al.  Global stability for cellular neural networks with time delay , 2000, IEEE Trans. Neural Networks Learn. Syst..

[23]  Valeri Mladenov,et al.  Cellular Neural Networks: Theory And Applications , 2004 .

[24]  Ju H. Park.  On global stability criterion of neural networks with continuously distributed delays , 2008 .

[25]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[26]  Ju H. Park,et al.  Further note on global exponential stability of uncertain cellular neural networks with variable delays , 2007, Appl. Math. Comput..

[27]  M Ramesh,et al.  Chaos control of Bonhoeffer–van der Pol oscillator using neural networks , 2001 .

[28]  Sabri Arik,et al.  An analysis of global asymptotic stability of delayed cellular neural networks , 2002, IEEE Trans. Neural Networks.

[29]  Ju H. Park.  A novel criterion for global asymptotic stability of BAM neural networks with time delays , 2006 .