Global asymptotic stability analysis for integro-differential systems modeling neural networks with delays

In this paper, the global asymptotic stability of the equilibrium point of integro-differential systems modeling neural networks with time-varying delays are studied. Proper Lyapunov functionals and some analytic techniques are employed to derive the sufficient conditions under which the networks proposed are the global asymptotic stability. The results have shown to improve the previous global asymptotic stability results derived in the literature. Some examples are given to illustrate the correctness of our results.

[1]  Jinde Cao,et al.  Global robust stability of interval cellular neural networks with time-varying delays , 2005 .

[2]  Jinde Cao,et al.  Global robust stability of delayed recurrent neural networks , 2004 .

[3]  B. Duenweg,et al.  散逸粒子動力学:平衡および非平衡分子動力学シミュレーションのための有用なサーモスタット(原標題は英語) , 2003 .

[4]  S. Arik Stability analysis of delayed neural networks , 2000 .

[5]  Jinde Cao,et al.  Exponential stability of BAM neural networks with transmission delays , 2004, Neurocomputing.

[6]  Zhidong Teng,et al.  Global eponential stability of cellular neural networks with time-varying coefficients and delays , 2004, Neural Networks.

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

[8]  S. Arik Global robust stability of delayed neural networks , 2003 .

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

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

[11]  J. R. Haddock,et al.  Liapunov-Razumikhin functions and an invariance principle for functional differential equations , 1983 .

[12]  Jinde Cao,et al.  On exponential stability and periodic solutions of CNNs with delays , 2000 .

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

[14]  Jun Wang,et al.  Global dissipativity of continuous-time recurrent neural networks with time delay. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[16]  Jinde Cao,et al.  Exponential stability of delayed bi-directional associative memory networks , 2003, Appl. Math. Comput..