Adaptive synchronization of master-slave systems with mixed neutral and discrete time-delays and nonlinear perturbations

Asian Journal of Control

Volumn 14, Issue 1, 2012, Pages 251-257

  Karimi, Hamid Reza ^a   Zapateiro, Mauricio ^b   Luo, Ningsu ^c  

^a UNIVERSITY OF AGDER   (Norway)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^c UNIVERSITY OF GIRONA   (Spain)

Author keywords

Adaptive synchronization; delay; master slave systems; nonlinear perturbations

Indexed keywords

LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; TIME DELAY;

ADAPTIVE SYNCHRONIZATIONS; DELAY; INEQUALITY TECHNIQUES; LYAPUNOV FUNCTIONAL METHOD; MASTER-SLAVE SYSTEMS; NONLINEAR PERTURBATIONS; SYNCHRONIZATION SIGNALS; SYNCHRONIZATION SPEED;

SYNCHRONIZATION;

EID: 84856298890     PISSN: 15618625     EISSN: 19346093     Source Type: Journal    
DOI: 10.1002/asjc.439     Document Type: Article

References (29)

1. Pecora, L. M., and, T. L. Carroll, " Synchronization in chaotic systems," Phys. Rev. Lett., Vol. 64, pp. 821-824 (1990).
2. Alvarez, J., and, L. E. Curiel, " Bifurcations and chaos in a linear control system with saturated input," Int. J. Bifurcation Chaos, Vol. 7, No. 8, pp. 1811-1822 (1997).
3. Gao, H., J. Lam, and, G. Chen, " New criteria for synchronization stability of general complex dynamical networks with coupling delays," Phys. Lett. A, Vol. 360, No. 2, pp. 263-273 (2006). (Pubitemid 44647562)
4. ∞ synchronization of a class of delayed neural networks," Chaos Solitons Fractals, Vol. 41, No. 3, pp. 1125-1135 (2009).
5. Li, R., Z. Duan, and, G. Chen, " Global synchroni-zation of drive-response dynamical networks subject to input nonlinearity," J. Phys. A-Math. Theor., Vol. 41, p. 385103 (2008).
6. Cao, J., and, J. Lu, " Adaptive synchronization of neural networks with or without time-varying delay," CHAOS, Vol. 16, p. 013133 (2006).
7. Liao, T. L., and, S. H. Tsai, " Adaptive synchroni-zation of chaotic systems and its application to secure communication," Chaos Solitons Fractals, Vol. 11, No. 9, pp. 1387-1396 (2000).
8. Feki, M., " An adaptive chaos synchronization scheme applied to secure communication," Chaos Solitons Fractals, Vol. 18, pp. 141-148 (2003).
9. Yan, J. J., W. D. Chang, and, M. L. Hung, " An adaptive decentralized synchronization of master-slave large-scale systems with unknown signal propagation delays," Chaos Solitons Fractals, Vol. 29, pp. 506-513 (2006).
10. Fradkov, A. L., H. Nijmeijer, and, A. Markov, " Adaptive observer-based synchronization for communications," Int. J. Bifurcation Chaos, Vol. 10, No. 12, pp. 2807-2813 (2000).
11. Park, J. H., " Synchronization of Genesio chaotic system via backstepping approach," Chaos Solitons Fractals, Vol. 27, pp. 1369-1375 (2006). (Pubitemid 41329830)
12. Yan, J. J., M. L. Hung, T. Y. Chiang, and, Y. S. Yang, " Robust synchronization of chaotic systems via adaptive sliding mode control," Phys. Lett. A, Vol. 356, No. 3, pp. 220-225 (2006).
13. Cai, C., and, G. Chen, " Synchronization of complex dynamical networks by the incremental ISS app-roach," Physica A, Vol. 371, pp. 754-766 (2006). (Pubitemid 44397320)
14. Hale, J., and, S. M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer, New York, NY, U.S.A. (1993).
15. MacDonald, N., Biological Delay Systems: Linear Stability Theory, Cambridge University Press, Cambridge, U.K. (1989).
16. Kuang, Y., Delay Differential Equations with Applications in Population Dynamics, Academic Press, Boston, U.S.A. (1993).
17. Gao, H., T. Chen, and, J. Lam, " A new delay system approach to network-based control," Automatica, Vol. 44, No. 1, pp. 39-52 (2008).
18. ∞ control of second-order neutral systems with time-varying state and input delays," ISA Trans., Vol. 47, No. 3, pp. 311-324 (2008).
19. Han, Q. L., " Robust stability of uncertain delay-differential systems of neutral type," Automatica, Vol. 38, No. 4, pp. 719-723 (2002).
20. Fridman, E., " New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems," Syst. Control Lett., Vol. 43, pp. 309-319 (2001). (Pubitemid 32663776)
21. Park, P., " A delay-dependent stability criterion for systems with uncertain time-invariant delays," IEEE Trans. Autom. Control, Vol. 44, pp. 876-877 (1999).
22. He, Y., Q. G. Wang, C. Lin, and, M. Wu, " Delay-range-dependent stability for systems with time-varying delay," Automatica, Vol. 43, pp. 371-376 (2007). (Pubitemid 46037586)
23. ∞ control design for linear systems with time-varying delays: an LMI approach," Int. J. Control Autom. Syst., Vol. 6, No. 1, pp. 1-14 (2008). (Pubitemid 351218724)
24. ∞ filtering for networked systems with multiple state delays," Int. J. Control, Vol. 80, pp. 1217-1232 (2007). (Pubitemid 350021218)
25. ∞ delayed state-feedback control of neutral delay systems with time-varying delays," Asian J. Control, Vol. 10, No. 5, pp. 571-582 (2008).
26. ∞ model reduction of linear systems with distributed delay," IEE Proc. Control Theory Appl., Vol. 152, No. 6, pp. 662-674 (2005). (Pubitemid 44532751)
27. ∞ synchronization for uncertain neural networks with mixed time delays," IEEE Trans. Syst. Man Cybern. Part B-Cybern., Vol. 40, No. 1, pp. 173-185 (2010).
28. Sun, Y., J. Cao, and, Z. Wang, " Exponential synchronization of stochastic perturbed chaotic delayed neural networks," Neurocomputing, Vol. 70, No. 13, pp. 2477-2485 (2007). (Pubitemid 46825362)
29. Popov, V. M., Hyperstability of Control Systems, Springer, Berlin, Germany (1973).