Global Exponential Stability for Uncertain Delayed Neural Networks of Neutral Type With Mixed Time Delays

The global exponential stability for a class of uncertain delayed neural networks (DNNs) of neutral type with mixed delays is investigated in this paper. Delay-dependent and delay-independent stability criteria are proposed to guarantee the robust stability and uniqueness of equilibrium point of DNNs via linear matrix inequality and Razumikhin-like approaches. Two classes of perturbations on weighting matrices are considered in this paper. Some numerical examples are illustrated to show the effectiveness of our results.

[1]  BART KOSKO,et al.  Bidirectional associative memories , 1988, IEEE Trans. Syst. Man Cybern..

[2]  Qiang Zhang,et al.  Delay-dependent global stability condition for delayed Hopfield neural networks , 2007 .

[3]  T. Liao,et al.  Globally exponential stability condition of a class of neural networks with time-varying delays , 2005 .

[4]  Shengyuan Xu,et al.  Further results on delay‐dependent robust stability conditions of uncertain neutral systems , 2005 .

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

[6]  Wang Lin-shan.  Global Robust Stability of Interval Cellular Neural Networks with Time-varying Delays , 2004 .

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

[8]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[9]  Sabri Arik,et al.  Global stability of a class of neural networks with time-varying delay , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

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

[11]  John J. Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities , 1999 .

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

[13]  Klaus Mainzer,et al.  Cellular Neural Networks and Visual Computing , 2003, Int. J. Bifurc. Chaos.

[14]  Qiang Zhang,et al.  A new global stability result for delayed neural networks , 2007 .

[15]  D. D. Perlmutter,et al.  Stability of time‐delay systems , 1972 .

[17]  Lei Guo,et al.  On Stochastic Neutral Neural Networks , 2005, ISNN.

[18]  Jin Xu,et al.  On global exponential stability of delayed cellular neural networks with time-varying delays , 2005, Appl. Math. Comput..

[19]  Chi-Chuan Hwang,et al.  Globally Asymptotic Stability of a Class of Neutral-Type Neural Networks With Delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[20]  Shengyuan Xu,et al.  Improved delay-dependent stability criteria for time-delay systems , 2005, IEEE Transactions on Automatic Control.

[21]  Qiang Zhang,et al.  Stability of delayed cellular neural networks , 2007 .

[22]  Shouming Zhong,et al.  Global stability analysis for a class of neural networks with varying delays and control input , 2007, Appl. Math. Comput..

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

[24]  Xiaoxin Liao,et al.  Stability Analysis of Neutral Neural Networks with Time Delay , 2006, ISNN.

[25]  Qiang Zhang,et al.  Delay-dependent exponential stability of cellular neural networks with time-varying delays , 2005 .

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