Global exponential stability of Cohen-Grossberg neural networks with reaction-diffusion and dirichlet boundary conditions

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4682 LNAI, Issue , 2007, Pages 59-65

  Fu, Chaojin ^a   Zhu, Chongjun ^a  

^a HUBEI NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DIFFUSION; THEOREM PROVING;

FIXED POINT THEOREMS; REACTION DIFFUSION;

NEURAL NETWORKS;

EID: 38049004487     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74205-0_7     Document Type: Conference Paper

References (14)

1. Grossberg, S.: Nonlinear Difference-differential Equations in Prediction and Learning Theory. Proceedings of the National Academy of Sciences, 58 (1967) 1329-1334
2. Cohen, M.A., Grossberg, S.: Absolute Stability of Global Pattern Formation and Parallel Memory Storage by Competitive Neural Networks. IEEE Transactions on Systems, Man, and Cybernetics, SMC, 13 (1983) 815-826
3. Hopfield, J.J.: Neurons with Graded Response Have Collective Computational Pproperties like Those of Two-state Neurons. Proc. Natl. Academy Sci., 81 (1984) 3088-3092
4. Chua, L.O., and Yang, L.: Cellular Neural Networks: Theory. IEEE Trans. Circuits Syst., 35 (1988) 1257-1272
5. Forti, M., Tesi, A.: New Conditions for Global Stability of Neural Networks with Application to Linear and Quadratic Programming Problems. IEEE Trans. Circ. Syst. I, 42 (1995) 354-366
6. Yi, Z., Heng, A., Leung, K.S.: Convergence Analysis of Cellular Neural Networks with Unbounded Delay. IEEE Trans. Circuits Syst. I, 48 (2001) 680-687
7. Yuan, K., Cao, J.D., Li, H.X.: Robust Stability of Switched Cohen-Grossberg Neural Networks with Mixed Time-varying Delays. IEEE Transactions on Systems Man and Cybernetics B-Cybernetics, 36 (2006) 1356-1363
8. Yang, Z.C., Xu, D.Y.: Impulsive Effects on Stability of Cohen-Grossberg Neural Networks with Variable Delays. Applied Mathematics and Computation, 177 (2006) 63-78
9. Wang, Z.D., Liu, Y.R., Li, M.Z., and Liu, X.H.: Stability Analysis for Stochastic Cohen-Grossberg Neural Networks with Mixed Time Delays. IEEE Transactions on Neural Networks, 17 (2006) 814-820
10. Liao, X.F., Li, C.D.: Global Attractivity of Cohen-Grossberg Model with Finite and Infinite Delays. Journal of Mathematical Analysis and Applications, 315 (2006) 244-262
11. Cao, J.D., Li, X.L.: Stability in Delayed Cohen-Grossberg Neural Networks: LMI Optimization Approach. Physica D-Nonlinear Phenomena, 212 (2005) 54-65
12. Chen, T.P., Rong, L.B.: Robust Global Exponential Stability of Cohen-Grossberg Neural Networks with Time-delays. IEEE Transactions on Neural Networks, 15 (2004) 203-206
13. Song, Q.K., Cao, J.D.: Global Exponential Stability and Existence of Periodic Solutions in BAM Networks with Delays and Reaction Diffusion Terms. Chaos, Solitons & Fractals, 23 (2005) 421-430
14. Song, Q.K., Cao, J.D., Zhao, Z.J.: Periodic Solutions and Its Exponential Stability of Reaction-Diffusion Recurrent Neural Networks with Continuously Distributed Delays. Nonlinear Analysis: Real World Applications, 7 (2006) 65-80