New criteria for the robust impulsive synchronization of uncertain chaotic delayed nonlinear systems

Nonlinear Dynamics

Volumn 79, Issue 1, 2015, Pages 1-9

  Ji, Yan ^a   Liu, Ximei ^a   Ding, Feng ^a  

^a QINGDAO UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Chaotic neural networks; Impulsive synchronization; Nonlinear system; Uncertainties

Indexed keywords

COMPLEX NETWORKS; LYAPUNOV FUNCTIONS; NONLINEAR SYSTEMS; SYNCHRONIZATION;

CHAOTIC NEURAL NETWORK; CONSERVATIVE CONDITIONS; DELAYED NEURAL NETWORKS; DELAYED NONLINEAR SYSTEMS; IMPULSIVE SYNCHRONIZATION; ROBUST IMPULSIVE SYNCHRONIZATION; SIMPLE ADAPTIVE; UNCERTAINTIES;

NEURAL NETWORKS;

EID: 84925478712     PISSN: 0924090X     EISSN: 1573269X     Source Type: Journal    
DOI: 10.1007/s11071-014-1640-6     Document Type: Article

References (45)

1. Pecora, L.M., Carroll, T.L.: Synchronization in chaotic systems. Phys. Rev. E 64(8), 821–824 (1990)
2. Mahmoud, G.M., Mahmoud, E.: Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. nonlinear Dyn. 62(4), 875–882 (2010)
3. Chen, D.Y., Zhao, W.L., Sprott, J.C., Ma, X.Y.: Application of Takagi-Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization. Nonlinear Dyn. 73(3), 1495–1505 (2013)
4. Shi, Y.C., Zhu, P.Y., Qin, K.: Projective synchronization of different chaotic neural networks with mixed time delays based on an integral sliding mode controller. Neurocomputing 123(10), 443–449 (2014)
5. Hu, C., Yu, J., Jiang, H.J., Teng, Z.D.: Exponential synchronization for reactionCdiffusion networks with mixed delays in terms of p-norm via intermittent driving. Neural Networks 31, 1–11 (2012)
6. Tang, Y., Qiu, R.H., Fang, J.A., Miao, Q.Y., Xia, M.: Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays. Phys. Lett. A 372(24), 4425–4433 (2008)
7. Wang, L.H., Ding, W., Chen, D.: Synchronization schemes of a class of fuzzy cellular neural networks based on adaptive control. Phys. Lett. A 374(13–14), 1440–1449 (2010)
8. Lou, X.Y., Cui, B.T.: Synchronization of competitive neural networks with different time scales. Phys. A 380(1), 563–576 (2007)
9. Chen, S., Cao, J.D.: Projective synchronization of neural networks with mixed time-varying delays and parameter mismatch. Nonlinear Dyn. 67, 1397–1406 (2012)
10. Liao, M.X., Xu, C.J., Tang, X.H.: Dynamical behaviors for a competition and cooperation model of enterprises with two delays. Nonlinear Dyn. 75(1–2), 257–266 (2014)
11. Zhu, Q.Y., Zhou, W.N., Tong, D.B., Fang, J.A.: Adaptive synchronization for stochastic neural networks of neutral-type with mixed time-delays. Neurocomputing 99(1), 477–485 (2013)
12. Park, M.J., Kwon, O.M., Park, J.H., Lee, S.M., Cha, E.J.: Synchronization criteria for coupled neural networks with interval time-varying delays and leakage delay. App. Math. Comput. 218(12), 6762–6775 (2012)
13. Yao, C.G., Zhao, Q., Liu, W.Q., Yu, J.: Collective dynamics induced by diversity taken from two-point distribution in globally coupled chaotic oscillators. Nonlinear Dyn. 75(1–2), 17–26 (2014)
14. Guan, Z.H., Lai, Q., Chi, M., Cheng, X.M., Liu, F.: Analysis of a new three-dimensional system with multiple chaotic attractors. Nonlinear Dyn. 75(1–2), 331–343 (2014)
15. Liu, X.Y., Chen, T.P., Cao, J.D., Lu, W.L.: Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches. Neural Networks 24(10), 1013–1021 (2011)
16. Cao, J.D., Li, L.L.: Cluster synchronization in an array of hybrid coupled neural networks with delay. Neural Networks 22(4), 335–342 (2009)
17. Yang, X.S., Cao, J.D.: Stochastic synchronization of coupled neural networks with intermittent control. Phys. Lett. A 373(36), 3259–3272 (2009)
18. Muthukumar, P., Balasubramaniam, P.: Feedback synchronization of the fractional order reverse butterfly-shaped chaotic system and its application to digital cryptography. Nonlinear Dyn. 74(4), 1169–1181 (2013)
19. Ding, F.: Combined state and least squares parameter estimation algorithms for dynamic systems. Appl. Math. Model. 38(1), 403–412 (2014)
20. Ding, F.: State filtering and parameter identification for state space systems with scarce measurements. Signal Process. 104, 369–380 (2014)
21. Liu, Y.J., Ding, F., Shi, Y.: An efficient hierarchical identification method for general dual-rate sampled-data systems. Automatica 50(3), 962–970 (2014)
22. Luan, X.L., Shi, P., Liu, F.: Stabilization of networked control systems with random delays. IEEE Trans. Industrial Electronics 58(9), 4323–4330 (2011)
23. Luan, X.L., Zhao, S.Y., Liu, F.: H-infinity control for discrete-time markov jump systems with uncertain transition probabilities. IEEE Trans. Automatic Control 58(6), 1566–1572 (2013)
24. Wang, D.Q., Ding, F.: Hierarchical least squares estimation algorithm for Hammerstein-Wiener systems. IEEE Signal Process. Lett. 19(12), 825–828 (2012)
25. Wang, D.Q., Ding, F., Chu, Y.Y.: Data filtering based recursive least squares algorithm for Hammerstein systems using the key-term separation principle. Inf. Sci. 222, 203–212 (2013)
26. Ding, F., Deng, K.P., Liu, X.M.: Decomposition based Newton iterative identification method for a Hammerstein nonlinear FIR system with ARMA noise. Circuits Syst. Signal Process. 33(9), 2881–2893 (2014)
27. Ding, F., Liu, X.M., Chen, H.B., Yao, G.Y.: Hierarchical gradient based and hierarchical least squares based iterative parameter identification for CARARMA systems. Signal Process. 97, 31–39 (2014)
28. Ding, F.: Hierarchical parameter estimation algorithms for multivariable systems using measurement information. Inf. Sci. 277, 396–405 (2014)
29. Li, C.L.: Tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance. Commun. Nonlinear Sci. Numer. Simulat. 17, 405–413 (2012)
30. Li, C.L., Tong, Y.N., Li, H.M., Su, K.L.: Adaptive impulsive synchronization of a class of chaotic and hyperchaotic systems. Phys. Scr. 86, 055003 (2012)
31. Wang, Z.S., Zhang, H.G.: Synchronization stability in complex interconnected neural networks with nonsymmetric coupling. Neurocomputing 108(2), 84–92 (2013)
32. Yang, X.S., Yang, Z.C.: Synchronization of TS fuzzy complex dynamical networks with time-varying impulsive delays and stochastic effects. Fuz. Sets Syst. 235(16), 25–43 (2014)
33. Zhang, L.G., Liu, X.J.: The synchronization between two discrete-time chaotic systems using active robust model predictive control. Nonlinear Dyn. 74(4), 905–910 (2013)
34. Wang, Z., Wong, W.K.: Key role of voltage-dependent properties of synaptic currents in robust network synchronization. Neural Networks 43, 55–62 (2013)
35. Li, X.D., Bohner, M.: Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback. Math. Comput. Model. 52(5), 643–653 (2010)
36. Li, Z., Chen, G.R.: Robust adaptive synchronization of uncertain dynamical networks. Phys. Lett. A 324(2–3), 166–178 (2004)
37. Zhang, Y.: Stability of discrete-time Markovian jump delay systems with delayed impulses and partly unknown transition probabilities. Nonlinear Dyn. 75(1–2), 101–111 (2014)
38. Zheng, C.D., Zhou, F.J., Wang, Z.S.: Stochastic exponential synchronization of jumping chaotic neural networks with mixed delays. Commun. Nonlinear Sci. Numer. Simulat. 17(3), 1273–1291 (2012)
39. Li, K., Lai, C.: Adaptive-impulsive synchronization of uncertain complex dynamical networks. Phys. Lett. A. 372(10), 1601–1606 (2008)
40. Liu, D.F., Wu, Z.Y., Ye, Q.L.: Adaptive impulsive synchronization of uncertain drive-response complex-variable chaotic systems. Nonlinear Dyn. 75(1–2), 209–216 (2014)
41. Li, X.D., Rakkiyappan, R.: Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Commun. Nonlinear Sci. Numer. Simulat. 18(6), 1515–1523 (2013)
42. Gan, Q.T.: Adaptive synchronization of CohenCGrossberg neural networks with unknown parameters and mixed time-varying delays. Commun. Nonlinear Sci. Numer. Simulat. 17(7), 3040–3049 (2012)
43. Che, W.W., Guan, W., Wang, Y.L.: Adaptive regulation synchronization for a class of delayed Cohen-Grossberg neural networks. Nonlinear Dyn. 74(4), 929–942 (2013)
44. Li, P., Cao, J.D., Wang, Z.D.: Robust impulsive synchronization of coupled delayed neural networks with uncertainties. Phys A 373, 261–272 (2007)
45. Gu, H.B., Jiang, H.J., Teng, Z.D.: BAM-type impulsive neural networks with time-varying delays. Nonlinear Analysis 10(5), 3059–3072 (2009)