Finite-time synchronization of delayed neural networks with Cohen-Grossberg type based on delayed feedback control

Neurocomputing

Volumn 143, Issue , 2014, Pages 90-96

  Hu, Cheng ^a   Yu, Juan ^a   Jiang, Haijun ^a  

^a XINJIANG UNIVERSITY   (China)

Author keywords

Cohen Grossberg type; Delayed feedback control; Finite time synchronization; Neural network

Indexed keywords

FEEDBACK CONTROL; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; TIME DELAY;

COHEN-GROSSBERG NEURAL NETWORKS; COHEN-GROSSBERG TYPE; DELAYED CELLULAR NEURAL NETWORKS; DELAYED FEEDBACK CONTROL; DELAYED NEURAL NETWORKS; DIFFERENTIAL INEQUALITIES; FINITE-TIME SYNCHRONIZATIONS; GLOBAL SYNCHRONIZATION;

SYNCHRONIZATION;

ARTICLE; ARTIFICIAL NEURAL NETWORK; COHEN GROSSBERG NEURAL NETWORK; COMPARATIVE STUDY; COMPUTER SIMULATION; CONTROLLED STUDY; ERROR; FEASIBILITY STUDY; FEEDBACK SYSTEM; FINITE TIME SYNCHRONIZATION; LYAPUNOV FUNCTION; MACHINE LEARNING; MATHEMATICAL COMPUTING; MATHEMATICAL PHENOMENA; PRIORITY JOURNAL; SYNCHRONIZATION ERROR; TIME DELAYED FEEDBACK;

EID: 84904810449     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2014.06.016     Document Type: Article

References (36)

1. Lyapunov A.M. Stability of motion. general problem. Int. J. Control 1992, 55:520-790. (Lyapunov centenary issue).
2. E.P. Ryan, Optimal Relay and Saturating Control System Synthesis, IEE Control Engineering Series 14, Peter Peregrinus Ltd., London, 1982.
3. Athans M., Falb P.L. Optimal Control. An Introduction to the Theory and Its Applications 1966, McGraw-Hill, New York.
4. Perruquetti W., Barbot J.P. Sliding Mode Control in Engineering 2002, Dekker, New York.
5. Ryan E.P. Singular optimal controls for second-order saturating systems. Int. J. Control 1979, 30:549-564.
6. Ryan E.P. Finite-time stabilization of uncertain nonlinear planar systems. Dyn. Control 1991, 1:83-94.
7. Bhat S.P., Bernstein D.S. Finite-time stability of continuous autonomous systems. SIAM J. Control Optim. 2000, 38:751-766.
8. Orlov Y. Finite time stability and robust control synthesis of uncertain switched systems. SIAM J. Control Optim. 2005, 43:1253-1271.
9. Moulay E., Perruquetti W. Finite time stability conditions for nonautonomous continuous systems. Int. J. Control 2008, 81:797-803.
10. Zhang X., Feng G., Sun Y. Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems. Automatica 2012, 48:499-504.
11. Nersesov S.G., Perruquetti W. Finite time stabilization of nonlinear impulsive dynamical systems. Nonlinear Anal.. Hybrid Syst. 2008, 2:832-845.
12. Yin J., Khoo S., Man Z., Yu X. Finite-time stability and instability of stochastic nonlinear systems. Automatica 2011, 47:2671-2677.
13. Khoo S., Yin J., Man Z., Yu X. Finite-time stabilization of stochastic nonlinear systems in strict-feedback form. Automatica 2013, 49:1403-1410.
14. Moulay E., Dambrine M., Yeganefar N., Perruquetti W. Finite time stability and stabilization of time-delay systems. Syst. Control Lett. 2008, 57:561-566.
15. Cohen M.A., Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. 1983, 13:815-826.
16. Wang L., Zou X. Exponential stability of Cohen-Grossberg neural networks. Neural Netw. 2002, 15:415-422.
17. Liao X., Li C., Wong K. Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Netw. 2004, 17:1401-1414.
18. Zhu Q., Li X. Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks. Fuzzy Sets Syst. 2012, 203:74-94.
19. Tojtovska B., Jankovic S. On a general decay stability of stochastic Cohen-Grossberg neural networks with time-varying delays. Appl. Math. Comput. 2012, 219:2289-2302.
20. Zheng C., Shan Q., Zhang H., Wang Z. On stabilization of stochastic Cohen-Grossberg neural networks with mode-dependent mixed time-delays and Markovian switching. IEEE Trans. Neural Netw. Learn. Syst. 2013, 24:800-811.
21. He W., Cao J. Adaptive synchronization of a class of chaotic neural networks with known or unknown parameters. Phys. Lett. A 2008, 372:408-416.
22. Zhu Q., Cao J. Adaptive synchronization of chaotic Cohen-Grossberg neural networks with mixed time delays. Nonlinear Dyn. 2010, 61:517-534.
23. Chen Z. Complete synchronization for impulsive Cohen-Grossberg neural networks with delay under noise perturbation. Chaos Solitons Fractals 2009, 42:1664-1669.
24. Yu J., Hu C., Jiang H., Teng Z. Exponential synchronization of Cohen-Grossberg neural networks via periodically intermittent control. Neurocomputing 2011, 74:1776-1782.
25. Liu Q., Zhang S. Adaptive lag synchronization of chaotic Cohen-Grossberg neural networks with discrete delays. Chaos 2012, 22:033123.
26. Zhu Q., Cao J. pth moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching. Nonlinear Dyn. 2012, 67:829-845.
27. Kwok T., Smith K.A. Experimental analysis of chaotic neural network models for combinatorial optimization under a unifying framework. Neural Netw. 2000, 13:731-744.
28. Zhou Z., Cao C. Neural Network with Applications 2004, Tsinghua University Press, Beijing, China.
29. Wang D. Pattern recognition. neural networks in perspective. IEEE Expert. Intell. Syst. Appl. 1993, 8:52-60.
30. Belykh I., de Lange E., Hasler M. Synchronization of bursting neurons. what matters in the network topology. Phys. Rev. Lett. 2005, 94:188101.
31. Zeng X., Hui Q., Haddad W.M., Hayakawa T., Bailey J.M. Synchronization of biological neural network systems with stochastic perturbations and time delays. J. Frankl. Inst. 2014, 351:1205-1225.
32. Liu X., Jiang N., Cao J., Wang S., Wang Z. Finite-time stochastic stabilization for BAM neural networks with uncertainties. J. Frankl. Inst. 2013, 350:2109-2123.
33. Kartsatos A. Advanced Ordinary Differential Equations 1980, Mariner Publishing, Tampa.
34. Tang Y. Terminal sliding mode control for rigid robots. Automatica 1998, 34:51-56.
35. Shen Y., Xia X. Semi-global finite-time observers for nonlinear systems. Automatica 2008, 44:3152-3156.
36. Hardy G., Littlewood J., Polya G. Inequalities 1952, Cambridge University Press, Cambridge.