Chaos synchronization of an energy resource system based on linear control

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 5, 2010, Pages 3336-3343

  Wang, Zuolei ^a  

^a YANCHENG TEACHERS UNIVERSITY   (China)

Author keywords

Chaos; Energy resource system; Linear control; Synchronization

Indexed keywords

BACK-STEPPING METHOD; CHAOS SYNCHRONIZATION; CHAOTIC ENERGY; LINEAR CONTROL; LINEAR CONTROLS; LINEAR FEEDBACK CONTROL; LYAPUNOV STABILITY THEOREM; NUMERICAL SIMULATION; RESOURCE SYSTEM; STATE VARIABLES; SUFFICIENT CONDITIONS;

CHAOTIC SYSTEMS; COMPUTER SIMULATION; CONTROLLERS; ENERGY RESOURCES; LINEAR CONTROL SYSTEMS; SYNCHRONIZATION;

CONTROL SYSTEM STABILITY;

EID: 77955508843     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.11.026     Document Type: Article

References (23)

1. L.M. Pecora, and T.L. Carroll Synchronization in chaotic systems Phys. Rev. Lett. 64 1990 821 824
2. J. Lu, and J. Cao Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) dynamical systems with fully unknown parameters Chaos 15 2005 1 10 (043901)
3. J. Ma, H.P. Ying, and Z.S. Pu An anti-control scheme for spiral under Lorenz chaotic signal Chin. Phys. Lett. 22 2005 1065 1068
4. D. Ghosh, and S. Banerjee Adaptive scheme for synchronization-based multiparameter estimation from a single chaotic time series and its applications Phys. Rev. E 78 2008 056211
5. J. Ma, Q.Y. Wang, W.Y. Jin, and Y.F. Xia Control chaos in the HindmarshRose neuron by using intermittent feedback with one variable Chin. Phys. Lett. 25 10 2008 3582 3585
6. Z.L. Wang Anti-synchronization in two non-identical hyperchaotic systems with known or unknown parameters Commun. Nonlinear Sci. Numer. Simul. 14 2009 2366 2372
7. J. Ma, W.Y. Jin, and Y.L. Li Chaotic signal-induced dynamics of degenerate optical parametric oscillator Chaos Solitons Fractals 36 2008 494 499
8. J.H. Park Synchronization of Genesio chaotic system via backstepping approach Chaos Solitons Fractals 27 2006 1369 1375
9. Y.N. Li, L. Chen, Z.S. Cai, and X.Z. Zhao Experimental study of chaos synchronization in the BelousovZhabotinsky chemical system Chaos Solitons Fractals 22 2004 767 771
10. N.J. Corron, and D.W. Hahs A new approach to communications using chaotic signals IEEE Trans. Circuits Syst. 44 1997 373 382
11. R.A. Ims, and H.P. Andreassen Spatial synchronization of vole population dynamics by predatory birds Nature 408 2000 194 196
12. J. Cao, H.X. Li, and Daniel W.C. Ho Synchronization criteria of Lur'e systems with time-delay feedback control Chaos Solitons Fractals 23 2005 1285 1298
13. J. Liang, J. Cao, and J. Lam Convergence of discrete-time recurrent neural networks with variable delay Int. J. Bifurcation Chaos 15 2005 581 595 (Pubitemid 40661911)
14. L.X. Tian, J. Xu, and M. Sun Chaos synchronization of the energy resource chaotic system with active control Int. J. Nonlinear Sci. 3 3 2006 228 234
15. M. Sun, L.X. Tian, S. Jiang, and J. Xu Feedback control and adaptive control of the energy resource chaotic system Chaos Solitons Fractals 32 2007 1725 1734 (Pubitemid 46136963)
16. M. Sun, L.X. Tian, Y. Fu, and W. Qian Dynamics and adaptive synchronization of the energy resource system Chaos Solitons Fractals 31 2007 879 888 (Pubitemid 44247661)
17. D. Ghosh, A.R. Chowdhury, and P. Saha On the various kinds of synchronization in delayed DuffingVan der Pol system Commun. Nonlinear Sci. Numer. Simul. 13 4 2008 790 803
18. M. Sun, L. Tian, and J. Xu Time-delayed feedback control of the energy resource chaotic system Int. J. Nonlinear Sci. 3 3 2006 172 177
19. S.M. Sun, L.X. Tian, and Y. Fu An energy resources demandsupply system and its dynamical analysis Chaos Solitons Fractals 32 2007 168 180
20. G.P. Jiang, and W.X. Zheng An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems Chaos Solitons Fractals 26 2005 437 443
21. F. Liu, Y. Ren, X.M. Shan, and Z.L. Qiu A linear feedback synchronization theorem for a class of chaotic systems Chaos Solitons Fractals 13 2002 723 730
22. T.A. Burton Stability and Periodic Solutions of Ordinary and Functional Differential Equations 1985 Academic Press New York pp. 2284
23. S.W. Mei, T.L. Shen, and K.Z. Liu Modern Robust Control Theory and Application 2003 Qinghua University Press Beijing p. 59 (in Chinese)