Adaptive regulation synchronization for a class of delayed Cohen-Grossberg neural networks

Nonlinear Dynamics

Volumn 74, Issue 4, 2013, Pages 929-942

  Che, Wei Wei ^a   Guan, Wei ^b   Wang, Yu Long ^c  

^a SHENYANG UNIVERSITY   (China)

^b SHENYANG AEROSPACE UNIVERSITY   (China)

^c University of Science and Technology   (China)

Author keywords

Adaptive regulation; Cohen Grossberg neural networks; Synchronization; Time delays

Indexed keywords

ACTIVATION FUNCTIONS; ADAPTIVE REGULATION; ADAPTIVE TECHNIQUE; ASYMPTOTIC SYNCHRONIZATION; COHEN-GROSSBERG NEURAL NETWORKS; CONNECTION WEIGHTS; SIMULATION EXAMPLE; TIME-VARYING DELAY;

LYAPUNOV FUNCTIONS; SYNCHRONIZATION; TIME DELAY;

NEURAL NETWORKS;

EID: 84888642349     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-1013-6     Document Type: Article

References (35)

1. ∞ chaos synchronization. Nonlinear Dyn. 60, 295-302 (2010)
2. Fei, J.; Ding, H.: Adaptive sliding mode control of dynamic system using RBF neural network. Nonlinear Dyn. 70, 1563-1573 (2012)
3. Liu, L.; Liu, Y.-J.; Chen, C.L.P.: Adaptive neural network control for a DC motor system with dead-zone, Nonlinear Dyn. (2012). doi: 10.1007/s11071-012- 0698-2
4. Chua, L.O.; Yang, L.: Cellular neural networks: theory. IEEE Trans. Biomed. Circuits Syst. 35(10), 1257-1272 (1988)
5. Hopfield, J.J.: Neurons with graded response have collective computation properties like those of two-stage neurons. Proc. Natl. Acad. Sci. USA (Biophys.) 81, 3088-3092 (1984)
6. Cohen, M.A.; Grossberg, S.: Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. SMC-13(5), 815-825 (1983)
7. Wang, Z.; Liu, Y.; Li, M.; Liu, X.: Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Netw. 17(3), 814-820 (2006)
8. Liu, P.-L.: Improved delay-dependent robust stability criteria for recurrent neural networks with time-varying delays. ISA Trans. 52, 30-35 (2013)
9. Yu, W.; Cao, J.; Chen, G.: Robust adaptive control of unknown modified Cohen-Grossberg neural networks with delays. IEEE Trans. Circuits Syst. II, Express Briefs 54(6), 502-506 (2007)
10. Song, Q.; Cao, J.: Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays. IEEE Trans. Syst. Man Cybern.; Part B, Cybern. 37(3), 733-741 (2007)
11. Yuan, K.; Cao, J.; Li, H.: Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays. IEEE Trans. Syst. Man Cybern.; Part B, Cybern. 36(6), 1356-1363 (2006)
12. Zhang, H.; Wang, Z.; Liu, D.: Global asymptotic stability and robust stability of a class of Cohen-Grossberg neural networks with mixed delays. IEEE Trans. Circuits Syst. I, Regul. Pap. 56(3), 616-629 (2009)
13. 2 performance analysis of stochastic delayed neural networks. IEEE Trans. Neural Netw. 22(10), 1662-1668 (2011)
14. Yang, R.; Gao, H.; Shi, P.: Novel robust stability criteria for stochastic Hopfield neural networks with time delays. IEEE Trans. Syst. Man Cybern.; Part B, Cybern. 39(2), 467-474 (2009)
15. Shen, Y.; Wang, J.: Robustness analysis of global exponential stability of recurrent neural networks in the presence of time delays and random disturbances. IEEE Trans. Neural Netw. Learn. Syst. 23(1), 87-96 (2012)
16. Song, Q.: Synchronization analysis in an array of asymmetric neural networks with time-varying delays and nonlinear coupling. Appl. Math. Comput. 216(5), 1605-1613 (2010)
17. Yu, W.; Chen, G.; Lü, J.: On pinning synchronization of complex dynamical networks. Automatica 45(2), 429-435 (2009)
18. Zhou, J.; Lu, J.A.; Lü, J.: Pinning adaptive synchronization of a general complex dynamical network. Automatica 44(4), 996-1003 (2008)
19. Song, Q.; Cao, J.: On pinning synchronization of directed and undirected complex dynamical networks. IEEE Trans. Circuits Syst. I, Regul. Pap. 57(3), 672-680 (2010)
20. Liu, H.; Lu, J.A.; Lü, J.; Hill, D.J.: Structure identification of uncertain general complex dynamical networks with time delay. Automatica 45(8), 1799-1807 (2009)
21. Jin, X.Z.; Che, W.W.; Wang, D.: Active coupling and its circuitry designs of chaotic systems against deteriorated and delayed networks. Nonlinear Dyn. 70, 1867-1877 (2012)
22. Jin, X.-Z.; Yang, G.-H.; Che, W.-W.: Adaptive pinning control of deteriorated nonlinear coupling networks with circuit realization. IEEE Trans. Neural Netw. Learn. Syst. 23(9), 1345-1355 (2012)
23. Zhou, J.; Chen, T.; Xiang, L.: Robust synchronization of delayed neural networks based on adaptive control and parameters identification. Chaos Solitons Fractals 27, 905-913 (2006)
24. Yi, Y.; Guo, L.; Wang, H.: Adaptive statistic tracking control based on two-step neural networks with time delays. IEEE Trans. Neural Netw. 20(3), 420-429 (2009)
25. Li, Z.; Jiao, L.; Lee, J.-J.: Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength. Physica A 387(5-6), 1369-1380 (2008)
26. DeLellis, P.; diBernardo, M.; Garofalo, F.: Novel decentralized adaptive strategies for the synchronization of complex networks. Automatica 45(5), 1312-1318 (2009)
27. Hu, C.; Yu, J.; Jiang, H.; Teng, Z.: Synchronization of complex community networks with nonidentical nodes and adaptive coupling strength. Phys. Lett. A 375(5), 873-879 (2011)
28. Wu, X.: Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay. Physica A 387(4), 997-1008 (2008)
29. Chen, T.; Liu, X.; Lu, W.: Pinning complex networks by a single controller. IEEE Trans. Circuits Syst. I 54(6), 1317-1326 (2007)
30. Song, Q.; Wang, Z.: A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays. Phys. Lett. A 368, 134-145 (2007)
31. He, Y.; Liu, G.; Rees, D.: New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Trans. Neural Netw. 18(7), 310-314 (2007)
32. Singh, V.: Global robust stability of delayed neural networks: an LMI approach. IEEE Trans. Circuits Syst. II 52(1), 33-36 (2005)
33. Yu, W.; Cao, J.: Synchronization control of stochastic delayed neural networks. Physica A 373, 252-260 (2007)
34. Xu, S.; Lam, J.; Ho, D.W.C.; Zou, Y.: Novel global asymptotic stability criteria for delayed cellular neural networks. IEEE Trans. Circuits Syst. II, Express Briefs 52(6), 349-353 (2005)
35. Jin, X.Z.; Yang, G.H.: Robust adaptive synchronization of uncertain and delayed dynamical complex networks with faulty network. Chin. Phys. B 19, 080508 (2010)