Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays

Neural Networks

Volumn 46, Issue , 2013, Pages 1-8

  Zhang, Guodong ^a,b   Shen, Yi ^a,b   Wang, Leimin ^a,b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b Ministry of China   (China)

Author keywords

Anti synchronization; Chaotic dynamical systems; Feedback control; Memristor; Time varying delays

Indexed keywords

ANTI-SYNCHRONIZATION; CHAOTIC DYNAMICAL SYSTEMS; DIFFERENTIAL INCLUSIONS; DISCONTINUOUS RIGHT-HAND SIDES; GLOBAL ANTI SYNCHRONIZATIONS; LYAPUNOV FUNCTIONAL METHOD; MEMRISTOR; TIME-VARYING DELAY;

DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; FEEDBACK CONTROL; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; TIME VARYING CONTROL SYSTEMS;

SYNCHRONIZATION;

ARTICLE; CHAOTIC DYNAMICS; CHAOTIC MEMRISTIVE NEURAL NETWORK; CONCEPTUAL FRAMEWORK; CORTICAL SYNCHRONIZATION; FEEDBACK SYSTEM; INEQUALITY TECHNIQUE; LYAPUNOV FUNCTIONAL METHOD; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MEMORY; NERVE CELL NETWORK; PRIORITY JOURNAL; PROCESS MODEL; TIME SERIES ANALYSIS;

ANTI-SYNCHRONIZATION; CHAOTIC DYNAMICAL SYSTEMS; FEEDBACK CONTROL; MEMRISTOR; TIME-VARYING DELAYS;

ALGORITHMS; COMPUTER SIMULATION; MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; TIME FACTORS;

EID: 84877079985     PISSN: 08936080     EISSN: 18792782     Source Type: Journal    
DOI: 10.1016/j.neunet.2013.04.001     Document Type: Article

References (34)

1. Ahn C.K. Anti-synchronization of time-delayed chaotic neural networks based on adaptive contro. International Journal of Theoretical Physics 2009, 48:3498-3509.
2. Aubin J.P., Cellina A. Differential inclusions 1984, Springer-Verlag, Germany, Berlin.
3. Cao J. New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Physics Letters A 2003, 307:136-147.
4. Chen T., Wu W., Zhou W. Global μ-synchronization of linearly coupled unbounded time-varying delayed neural networks with unbounded delayed coupling. IEEE Transactions on Neural Networks 2008, 19:1809-1816.
5. Cheng C., Liao T., Yan J., Hwang C. Exponential synchronization of a class of neural networks with time-varying delays. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2006, 36:209-215.
6. Chua L.O. Memristor-the missing circuit element. IEEE Transactions on Circuit Theory 1971, 507-519.
7. Clarke F.H., Ledyaev Y.S., Stem R.J., Wolenski R.R. Nonsmooth analysis and control theory 1998, Springer, New York.
8. Filippov A.F. Differential equations with discontinuous right-hand sides 1988, Kluwer, Dordrecht.
9. Hu, J., & Wang, J. (2010). Global uniform asymptotic stability of memristor-based recurrent neural networks with time delays. In Proceedings of international joint conference on neural networks, IJCNN 2010 (pp. 1-8). Barcelona, Spain.
10. Hu C., Yu J., Jiang H.J., Teng Z.D. Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control. Nonlinearity 2010, 23:2369-2391.
11. Li G., Zhou S. An observer-based anti-synchronization. Chaos, Solitons & Fractals 2006, 29:495-498.
12. 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.
13. Meng J., Wang X. Robust anti-synchronization of a class of delayed chaotic neural networks. Chaos 2007, 17:023113.
14. Merrikh-Bayat F., Shouraki S.B. Memristor-based circuits for performing basic arithmetic operations. Procedia Computer Science 2011, 3:128-132.
15. Pershin Y.V., Di Ventra M. Experimental demonstration of associative memory with memristive neural networks. Neural Networks 2010, 23:881-886.
16. Ren F., Cao J. Anti-synchronization of stochastic perturbed delayed chaotic neural networks. Neural Computing & Applications 2009, 18:515-521.
17. Shen Y., Wang J. Almost sure exponential stability of recurrent neural networks with Markovian switching. IEEE Transactions on Neural Networks 2009, 20:840-855.
18. Sheng L., Yang H. Exponential synchronization of a class of neural networks with mixed time-varying delays and impulsive effects. Neurocomputing 2008, 71:3666-3674.
19. Song Q.K. Synchronization analysis of coupled connected neural networks with mixed time delays. Neurocomputing 2009, 72:3907-3914.
20. Strukov D.B., Snider G.S., Stewart G.R., Williams R.S. The missing memristor found. Nature 2008, 453:80-83.
21. Tang Y., Gao H.J., Zou W., Kurths J. Identifying controlling nodes in neural networks in different scales. PLoS One 2012, 7:e41375.
22. Tang Y., Wang Z.D., Gao H.J., Swift S., Kurths J. A constrained evolutionary computation method for detecting controlling regions of cortical networks. IEEE/ACM Transactions on Computational Biology and Bioinformatics 2012, 9:1569-1581.
23. Tang Y., Wong W.K. Distributed synchronization of coupled neural networks via randomly occurring control. IEEE Transactions on Neural Networks 2013, 24:435-447.
24. Wang Z.D., Liu Y., Liu X. On global asymptotic stability of neural networks with discrete and distributed delays. Physics Letters A 2005, 345:299-308.
25. Wang Z.Q., et al. Synaptic learning and memory functions achieved using oxygen ion migration/diffusion in an amorphous InGaZnO memristor. Advanced Functional Materials 2012, 22:2759-2765.
26. Wu A.L., Wen S.P., Zeng Z.G. Synchronization control of a class of memristor-based recurrent neural networks. Information Sciences 2012, 183:106-116.
27. Wu A.L., Zeng Z.G. Dynamic behaviors of memristor-based recurrent neural networks with time-varying delays. Neural Networks 2012, 36:1-10.
28. Wu A.L., Zeng Z.G. Anti-synchronization control of a class of memristive recurrent neural networks. Communications in Nonlinear Science and Numerical Simulation 2013, 18:373-385.
29. Yau H.T. Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs. Nonlinear Analysis Real World Applications 2008, 9:2253-2261.
30. Yu W., Cao J., Wang J. An Imi approach to delayed global asymptotic stability of the cohen-grossberg neural networks via nonsmooth analysis. Neural Networks 2007, 20:810-818.
31. Zhang G.D., Shen Y., Sun J.W. Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 2012, 97:149-154.
32. Zhang G.D., Shen Y., Yin Q., Sun J.W. Global exponential periodicity and stability of a class of memristor-based recurrent neural networks with multiple delays. Information Sciences 2013, 232:386-396.
33. Zhao H.Y., Zhang Q. Global impulsive exponential anti-synchronization of delayed chaotic neural networks. Neurocomputing 2011, 74:563-567.
34. Zhu H.B., Cui B.T. The anti-synchronization of a class of chaotic delayed neural networks. Chaos 2007, 17:043122-1-043122-7.