Robust synchronization in arrays of coupled networks with delay and mixed coupling

Neurocomputing

Volumn 72, Issue 4-6, 2009, Pages 1026-1031

  Yuan, Kun ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Constant coupling; Delayed neural network; Distributed delay coupling; Global exponential synchronization; Kronecker product; Lyapunov functional; Uncertain

Indexed keywords

CONSTANT COUPLING; DELAYED NEURAL NETWORK; DISTRIBUTED-DELAY COUPLING; GLOBAL EXPONENTIAL SYNCHRONIZATION; KRONECKER PRODUCT; LYAPUNOV FUNCTIONAL; UNCERTAIN;

CONTROL THEORY; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); SYNCHRONIZATION; TELECOMMUNICATION NETWORKS;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; COMPUTER ANALYSIS; CORTICAL SYNCHRONIZATION; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; UNCERTAINTY;

EID: 58149475227     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2008.04.018     Document Type: Article

References (29)

1. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Philadelphia, PA
2. Cao J., Chen G., and Li P. Global synchronization in an array of delayed neural networks with hybrid coupling. IEEE Trans. Syst. Man Cybern. B 38 2 (2008) 488-498
3. Cao J., Li P., and Wang W. Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Phys. Lett. A 353 4 (2006) 318-325
4. Cao J., and Lu J. Adaptive synchronization of neural networks with or without time-varying delays. Chaos 16 (2006) art. no. 013133
5. Cao J., Wang Z., and Sun Y. Synchronization in an array of linearly stochastically coupled networks with time delays. Physica A 385 2 (2007) 718-728
6. Cao J., Yuan K., Ho D.W.C., and Lam J. Global point dissipativity of neural networks with mixed time-varying delays. Chaos 16 1 (2006) art. no. 013105
7. Chen G., Zhou J., and Liu Z. Global synchronization of coupled delayed neural networks and applications to chaos CNN models. Int. J. Bifur. Chaos 14 7 (2004) 2229-2240
8. Gu K., Kharitonov V., and Chen J. Stability of Time-delay Systems (2003), Birkhauser, Boston
9. Huang H., Qu Y., and Li H. Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty. Phys. Lett. A 345 4-6 (2005) 345-354
10. Huang X., and Cao J. Generalized synchronization for delayed chaotic neural networks: a novel coupling scheme. Nonlinearity 19 12 (2006) 2797-2811
11. Izhikevich E., and Hoppensteadt F. Slowly coupled oscillators: phase dynamics and synchronization. SIAM J. Appl. Math. 63 6 (2003) 1935-1953
12. Li C., and Chen G. Synchronization in general complex dynamical networks with coupling delays. Physica A 343 (2004) 263-278
13. Liang J., Wang Z., and Liu X. Exponential synchronization of stochastic delayed discrete-time complex networks. Nonlinear Dyn. 53 1-2 (2008) 153-165
14. Liu Y., Wang Z., and Liu X. Global exponential stability of generalized recurrent neural networks with discrete and distributed delays. Neural Networks 19 5 (2006) 667-675
15. Lü J., and Chen G. A time-varying complex dynamical model and its controlled synchronization criteria. IEEE Trans. Autom. Control 50 6 (2005) 841-846
16. Lu W., and Chen T. Synchronization of coupled connected neural networks with delays. IEEE Trans. Circuits Syst. I 51 12 (2004) 2491-2503
17. Lu W., and Chen T. New approach to synchronization analysis of linearly coupled ordinary differential systems. Physica D 213 (2006) 214-230
18. Ruan S., and Filfil R.S. Dynamics of a two-neuron system with discrete and distributed delays. Physica D 191 3-4 (2004) 323-342
19. Terman D., and Lee E. Partial synchronization in a network of neural oscillators. SIAM J. Appl. Math. 57 1 (1997) 252-293
20. Wang W., and Cao J. Synchronization in an array of linearly coupled networks with time-varying delay. Physica A 366 (2006) 197-211
21. Wang Z., Liu Y., Fraser K., and Liu X. Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays. Phys. Lett. A 354 4-5 (2006) 288-297
22. Wu C. Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling. IEEE Trans. Circuits Syst. I 50 2 (2003) 294-297
23. Wu C. Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling. IEEE Trans. Circuits Syst. II 52 5 (2005) 282-286
24. Wu C., and Chua L. Synchronization in an array of linearly coupled dynamical systems. IEEE Trans. Circuits Syst. I 42 8 (1995) 430-447
25. ∞ control of systems with parameter uncertainty. Int. J. Control 63 (1996) 741-750
26. Xu S., Lam J., Ho D.W.C., and Zou Y. Global robust exponential stability analysis for interval recurrent neural networks. Phys. Lett. A 325 2 (2004) 124-133
27. Xu S., Van Dooren P., Stefan R., and Lam J. Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Trans. Autom. Control 47 7 (2002) 1122-1128
28. Yu W., Cao J., and Lu J. Global synchronization of linearly hybrid coupled networks with time-varying delay. SIAM J. Appl. Dynamical Syst. 7 1 (2008) 108-133
29. Yuan K., Cao J., and Li H.-X. Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays. IEEE Trans. Syst. Man Cybern. B 36 6 (2006) 1356-1363