Dynamical analysis of Cohen-Grossberg neural networks with finite and infinite delays

Applied Mathematics and Computation

Volumn 213, Issue 2, 2009, Pages 529-537

  Li, Jinxian ^a   Yan, Jurang ^a   Jia, Xinchun ^a  

^a SHANXI UNIVERSITY   (China)

Author keywords

Cohen Grossberg neural networks; Global asymptotic stability; Lyapunov functionals; Time delay

Indexed keywords

COHEN-GROSSBERG NEURAL NETWORKS; DIFFERENTIAL INEQUALITY TECHNIQUES; DYNAMICAL ANALYSIS; GLOBAL ASYMPTOTIC STABILITY; INFINITE DELAY; LYAPUNOV FUNCTIONALS;

ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; STABILITY CRITERIA; TIME DELAY; UNMANNED AERIAL VEHICLES (UAV);

NEURAL NETWORKS;

EID: 67349103123     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.03.086     Document Type: Article

References (17)

1. Cohen M., and Grossberg S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet. 13 (1981) 815-821
2. Hopfield J.J. Neuronal networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA 79 (1982) 2554-2558
3. Forti M. On global asymptotic stability of a class of nonlinear systems arising in neural network theory. J. Differ. Equations 113 (1994) 246-264
4. Gopalsamy K., and He X. Delay-independent stability in bi-direction associative memory networks. IEEE Trans. Neural Network 5 (1994) 998-1002
5. van der Driessche P., and Zou X. Global attractivity in delayed Hopfield neural network models. SIAM, J. Appl. Math. 58 (1998) 1878-1890
6. Wang L., and Zou X. Exponential stability of Cohen-Grossberg neural network. Neural Network 15 (2002) 415-422
7. Lu K., Xu D., and Yang Z. Global attractivity and stability for Cohen-Grossberg neural networks with delays. Neural Networks 19 (2006) 1538-1549
8. Song Q., and Cao J. Stability analysis of Cohen-Grossberg neural network with both time-varying and continuously distributed delays. J. Comput. Appl. Math. 197 (2006) 188-203
9. Mao Z., and Zhao H. Dynamical analysis of Cohen-Grossberg neural networks with distributed delays. Phys. Lett. A 364 (2007) 38-47
10. Chen Z., Zhao D., and Ruan J. Dynamic analysis of high-order Cohen-Grossberg neural networks with time delay. Chaos, Solitons Fract. 32 (2007) 1538-1546
11. Wu W., Cui B., and Lou X. Some criteria for asymptotic stability of Cohen-Grossberg neural networks with time-varying delays. Neurocomputing 70 (2007) 1085-1088
12. Long F., Wang Y., and Zhou S. Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays. Nonlinear Anal. 8 (2007) 797-810
13. Yuan Z., Yuan L., and Huang L. Dynamics of periodic Cohen-Grossberg neural networks with varying delay. Neurocomputing 70 (2006) 164-172
14. Chen Z., and Ruan J. Global dynamic analysis of general Cohen-Grossberg neural networks with impulse. Chaos, Solitons Fract. 32 (2007) 1830-1837
15. Cao J., and Li X. Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Physica D 212 (2005) 54-65
16. Kuang Y. Delay Differential Equations with Applications in Population Dynamics (1993), Academic Press, New York
17. Liao X., and Li C. Global attractivity of Cohen-Grossberg model with finite and infinite delays. J. Math. Anal. Appl. 315 (2006) 244-262