Synchronization control for arrays of coupled discrete-time delayed Cohen-Grossberg neural networks

Neurocomputing

Volumn 74, Issue 1-3, 2010, Pages 197-204

  Li, Tao ^a   Song, Aiguo ^a   Fei, Shumin ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Coupled systems; Discrete time Cohen Grossberg neural networks; Exponential synchronization; LMI approach; Time varying delay

Indexed keywords

COUPLED SYSTEMS; DISCRETE-TIME; EXPONENTIAL SYNCHRONIZATION; LMI APPROACH; TIME-VARYING DELAY;

FREQUENCY SELECTIVE FADING; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; SYNCHRONIZATION; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNCERTAIN SYSTEMS; UNMANNED AERIAL VEHICLES (UAV);

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; COHEN GROSSBERG NEURAL NETWORK; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; PRIORITY JOURNAL; SIMULATION; STANDARDIZATION; STATISTICAL MODEL; TIME;

EID: 78649456530     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2010.02.018     Document Type: Article

References (38)

1. Pecora L.M., Carroll T.L. Synchronization in chaotic systems. Physical Review Letters 1990, 64(8):821-824.
2. Carroll T.L., Pecora L.M. Synchronization chaotic circuits. IEEE Transactions on Circuits and Systems I 1991, 38(4):453-456.
3. Wu C.W., Chua L.O. Application of graph theory to the synchronization in an array of coupled nonlinear oscillators. IEEE Transactions on Circuits and Systems I 1995, 42(8):494-497.
4. Zheleznyak A.L., Chua L.O. Coexistence of low-and high dimensional spatiotemporal chaos in a chain of dissipatively coupled Chua's circuits. International Journal of Bifurcations and Chaos 1994, 4(3):639-674.
5. Perez-Munuzuri V., Perez-Villar V. Spiral waves on a 2-D array of nonlinear circuits. IEEE Transactions on Circuits Systems I 1993, 40(11):872-877.
6. Senthilkumar D.V., Kurths J., Lakshmanan M. Stability of synchronization in coupled time-delay systems using Krasovskii-Lyapunov theory. Physical Review E 2009, 79(066208):1-4.
7. Follmann R., Macau E.E.N., Rosa E. Detecting phase synchronization between coupled non-phase-coherent oscillators. Physics Letters A 2009, 373(25):2146-2153.
8. S.E. Tuna, Conditions for synchronizability in arrays of coupled linear systems, IEEE Transactions on Automatic Control (2009) available online.
9. Tarai A., Poria S., Chatterjee P. Synchronization of bidirectionally coupled chaotic Chen's system with delay. Chaos, Solitons and Fractals 2009, 41(1):190-197.
10. Liu X.W., Chen T.P. Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix. Physica A: Statistical Mechanics and its Applications 2008, 387(16-17):4429-4439.
11. Li Z., Lee J.-J. New approach to synchronization in asymmetrically coupled networks. Physics Letters A 2008, 372(8):1228-1235.
12. Karimi H.R., Maass P. Delay-range-dependent exponential H synchronization of a class of delayed neural networks. Chaos, Solitons and Fractals 2009, 41(3):1125-1135.
13. H.R. Karimi, H.J. Gao, New delay-dependent exponential H synchronization for uncertain neural networks with mixed time delays, IEEE Transactions on Systems, Man, and Cybernetics-Part B (2009) available online.
14. Wu W., Chen T.P. Global synchronization criteria of linearly coupled neural network systems with time-varying coupling. IEEE Transactions on Neural Networks 2008, 19(2):319-332.
15. Zhang Y.P., Sun J.T. Robust synchronization of coupled delayed neural networks under general impulsive control. Chaos, Solitons and Fractals 2009, 41(3):1476-1480.
16. Xia Y.H., Yang Z.J., Han M.A. Synchronization schemes for coupled identical Yang-Yang type fuzzy cellular neural networks. Communications in Nonlinear Science and Numerical Simulation 2009, 14(9-10):3645-3659.
17. Lou X.Y., Cui B.T. Synchronization of neural networks based on parameter identification and via output or state coupling. Journal of Computational and Applied Mathematics 2008, 222(2):440-457.
18. Song Q.K. Synchronization analysis of coupled connected neural networks with mixed time delays. Neurocomputing 2009, 72(16-18):3907-3914.
19. Yuan K. Robust synchronization in arrays of coupled networks with delay and mixed coupling. Neurocomputing 2009, 72(4-6):1026-1031.
20. Yu W.W., Cao J.D., Lv J.H. Global synchronization of linearly Hybrid coupled networks with time-varying delay. SIAM Journal of Applied dynamical Systems 2008, 7(1):108-133.
21. Fei Z.Y., Gao H.J., Zheng W.X. New synchronization stability of complex networks with an interval time-varying coupling delay. IEEE Transactions on Circuits and Systems-II 2009, 56(6):499-503.
22. He W.L., Cao J.D. Global synchronization in arrays of coupled networks with one single time-varying delay coupling. Physics Letters A 2009, 373(31):2682-2694.
23. Cao J.D., Chen G.R., Li P. Global synchronization in an array of delayed neural networks with hybrid coupling. IEEE Transactions on Systems, Man, and Cybernetics-Part B 2008, 38(2):488-498.
24. Mohamad S., Naim A. Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks. Journal of Computational Application and Mathematics 2002, 138:1-20.
25. Y. Tang, J.A. Fang, M. Xia, X.J. Gu, Synchronization of Takagi-Sugeno fuzzy stochastic discrete-time complex networks with mixed time-varying delays, Applied Mathematical Modelling (2009) available online.
26. Zhang Q.J., Lu J.A., Zhao J.C. Impulsive synchronization of general continuous and discrete-time complex dynamical networks. Communications in Nonlinear Science and Numerical Simulation 2010, 15(4):1063-1070.
27. Su H., Ding X.H. Synchronization in time-discrete delayed chaotic systems. Neurocomputing 2009, 73(1-3):478-483.
28. Liang J.L., D Wang Z., Liu X.H. Exponential synchronization of stochastic delayed discrete-time complex networks. Nonlinear Dynamics 2008, 53(1-2):153-165.
29. Liang J.L., Wang Z.D., Liu Y.R. Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Transactions on Neural Networks 2008, 19(11):1910-1921.
30. Liang J.L., Wang Z.D., Liu Y.R. Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances. IEEE Transactions on Systems, Man, and Cybernetics-Part B 2008, 38(4):1073-1083.
31. Liu Y.R., Wang Z.D., Liang J.L. Synchronization and state estimation for discrete-time complex networks with distributed delays. IEEE Transactions on Systems, Man, and Cybernetics-Part B 2008, 38(5):1314-1325.
32. Liu Y.R., Wang Z.D., Liang J.L. Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays. IEEE Transactions on Neural Networks 2009, 20(7):1102-1116.
33. 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-Part B 1983, 13:815-826.
34. Liu Y.R., Wang Z.D., Liu X.H. Global exponential stability of generalized recurrent neural networks with discrete and distributed delays. Neural Networks 2006, 19:667-675.
35. Wang Z.D., Shu H., Liu Y.R., Ho D.W.C., Liu X.H. Robust stability analysis of generalized neural networks with discrete and distributed time delays. Chaos, Solitons and Fractals 2006, 30:886-896.
36. X.F. Jiang, Q.L. Han, X.H. Yu, Stability criteria for linear discrete-time systems with interval-like time-varying delay, in: Proceeding of American Control Conference, vol. 4, 2005, pp. 2817-2822.
37. Song Q.K., Wang Z.D. A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays. Physics Letters A 2007, 368(1-2):134-145.
38. Li T., Song A.G., Fei S.M. Novel stability criteria on discrete-time neural networks with time-varying and distributed delays. International Journal of Neural Systems 2009, 19(4):269-283.