论文信息 - Global asymptotic stability of cellular neural networks with unequal delays: LMI approach

Global asymptotic stability of cellular neural networks with unequal delays: LMI approach

A criterion for the global asymptotic stability and uniqueness of the equilibrium point of cellular neural networks with unequal delays is presented. The criterion is computationally efficient, since it is in the form of linear matrix inequality (LMI).

V. Singh | V. Singh

[1] Jinde Cao. A set of stability criteria for delayed cellular neural networks , 2001 .

[2] S. Arik,et al. Equilibrium analysis of delayed CNNs , 1998 .

[3] Vladimir A. Yakubovich,et al. Linear Matrix Inequalities in System and Control Theory (S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan) , 1995, SIAM Rev..

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

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

[6] S. Arik,et al. On the global asymptotic stability of delayed cellular neural networks , 2000 .

[7] Leon O. Chua,et al. Cellular neural networks: applications , 1988 .

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

[9] Qiang Zhang,et al. Stability of cellular neural networks with delay , 2001 .

[10] Leon O. Chua,et al. Cellular neural networks with non-linear and delay-type template elements and non-uniform grids , 1992, Int. J. Circuit Theory Appl..

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

[12] T.-L. Liao,et al. Global stability condition for cellular neural networks with delay , 1999 .

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

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