Stochastic Exponential Stability for Markovian Jumping BAM Neural Networks With Time-Varying Delays

This correspondence provides stochastic exponential stability for Markovian jumping bidirectional associative memory neural networks with time-varying delays. An approach combining the Lyapunov functional with linear matrix inequality is taken to study the problems. Some criteria for the stochastic exponential stability are derived. The results obtained in this correspondence are less conservative, less restrictive, and more computationally efficient than the ones reported so far in the literature

[1]  B Kosko,et al.  Adaptive bidirectional associative memories. , 1987, Applied optics.

[2]  Sabri Arik,et al.  Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays , 2005, IEEE Transactions on Neural Networks.

[3]  Yongkun Li.  Global exponential stability of BAM neural networks with delays and impulses , 2005 .

[4]  Q. Song,et al.  Global exponential stability of BAM neural networks with distributed delays and reaction–diffusion terms , 2005 .

[5]  Guanrong Chen,et al.  LMI-based approach for asymptotically stability analysis of delayed neural networks , 2002 .

[6]  X. Lou,et al.  Global asymptotic stability of BAM neural networks with distributed delays and reaction–diffusion terms , 2006 .

[7]  D. Sworder.  Feedback control of a class of linear systems with jump parameters , 1969 .

[8]  Yongkun Li.  Existence and stability of periodic solution for BAM neural networks with distributed delays , 2004, Appl. Math. Comput..

[9]  Xuyang Lou,et al.  Absolute exponential stability analysis of delayed bi-directional associative memory neural networks , 2007 .

[10]  Jinde Cao,et al.  Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays , 2003 .

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

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

[13]  K. Loparo,et al.  Stochastic stability properties of jump linear systems , 1992 .

[14]  Jinde Cao,et al.  Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms , 2005 .

[15]  H. Chizeck,et al.  Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control , 1990 .

[16]  Xiaofeng Liao,et al.  (Corr. to) Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach , 2002, Neural Networks.

[17]  Jinde Cao,et al.  An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays , 2004 .

[18]  Jinde Cao,et al.  Exponential stability and periodic oscillatory solution in BAM networks with delays , 2002, IEEE Trans. Neural Networks.

[19]  Vimal Singh,et al.  A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks , 2004, IEEE Transactions on Neural Networks.

[20]  Jinde Cao,et al.  Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays , 2003 .

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

[22]  Kwok-Wo Wong,et al.  Robust stability of interval bidirectional associative memory neural network with time delays , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[23]  X. Lou,et al.  Global asymptotic stability of delay BAM neural networks with impulses , 2006 .

[24]  Hongyong Zhao.  Global stability of bidirectional associative memory neural networks with distributed delays , 2002 .

[25]  Xuyang Lou,et al.  On the global robust asymptotic stability of BAM neural networks with time-varying delays , 2006, Neurocomputing.

[26]  X. Mao.  Stability of stochastic differential equations with Markovian switching , 1999 .

[27]  D. Elworthy.  ASYMPTOTIC METHODS IN THE THEORY OF STOCHASTIC DIFFERENTIAL EQUATIONS , 1992 .