Synchronization of a four-dimensional energy resource system via linear control

Communications in Nonlinear Science and Numerical Simulation

Volumn 16, Issue 1, 2011, Pages 463-474

  Wang, Zuolei ^a   Shi, Xuerong ^a  

^a YANCHENG TEACHERS UNIVERSITY   (China)

Author keywords

Chaos; Energy resource system; Linear control; Synchronization

Indexed keywords

CHAOS CONTROL; CHAOTIC SYSTEMS; CONTROLLERS; ENERGY RESOURCES; LINEAR CONTROL SYSTEMS; NUMERICAL METHODS;

BACK-STEPPING METHOD; CONDITION; CONTROL SCHEMES; ENERGY RESOURCE SYSTEM; LINEAR CONTROLS; LINEAR FEEDBACK CONTROL; LYAPUNOV STABILITY THEOREM; RESOURCE SYSTEM; SIMPLE++; STATE-VARIABLES;

SYNCHRONIZATION;

EID: 77955926138     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.03.008     Document Type: Article

References (20)

1. Pecora L.M., Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 1990, 64:821-824.
2. Lu J., Cao J. Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) dynamical systems with fully unknown parameters. Chaos 2005, 15(043901):1-10.
3. Ma J., Ying H.P., Pu Z.S. An anti-control scheme for spiral under Lorenz chaotic signal. Chin Phys Lett 2005, 22:1065-1068.
4. Ghosh D., Banerjee S. Adaptive scheme for synchronization-based multiparameter estimation from a single chaotic time series and its applications. Phys Rev E 2008, 78:056211.
5. Ma J., Wang Q.Y., Jin W.Y., Xia Y.F. Control chaos in the Hindmarsh-Rose neuron by using intermittent feedback with one variable. Chin Phys Lett 2008, 25(10):582-3585.
6. Wang Z.L. Anti-synchronization in two non-identical hyperchaotic systems with known or unknown parameters. Commun Nonlinear Sci Numer Simulat 2009, 14:2366-2372.
7. Ma J., Jin W.Y., Li Y.L. Chaotic signal-induced dynamics of degenerate optical parametric oscillator. Chaos Soliton Fract 2008, 36:494-499.
8. Park J.H. Synchronization of Genesio chaotic system via backstepping approach. Chaos Soliton Fract 2006, 27:1369-1375.
9. Li Y.N., Chen L., Cai Z.S., Zhao X.Z. Experimental study of chaos synchronization in the Belousov-Zhabotinsky chemical system. Chaos Soliton Fract 2004, 22:767-771.
10. Corron N.J., Hahs D.W. A new approach to communications using chaotic signals. IEEE Trans Circuits Syst 1997, 44:373-382.
11. Ims R.A., Andreassen H.P. Spatial synchronization of vole population dynamics by predatory birds. Nature 2000, 408:194-196.
12. Cao J., Li H.X., Ho Daniel W.C. Synchronization criteria of Lur'e systems with time-delay feedback control. Chaos Soliton Fract 2005, 23:1285-1298.
13. Liang J., Cao J., Lam J. Convergence of discrete-time recurrent neural networks with variable delay. Int J Bifurcation Chaos 2005, 15:581-595.
14. Ghosh D., Chowdhury A.R., Saha P. On the various kinds of synchronization in delayed Duffing-Van der Pol system. Commun Nonlinear Sci Numer Simulat 2008, 13(4):790-803.
15. Sun M., Tian L.X., Jiang S., Xu J. Feedback control and adaptive control of the energy resource chaotic system. Chaos Soliton Fract 2007, 32:725-1734.
16. Sun M., Tian L.X., Fu Y., Qian W. Dynamics and adaptive synchronization of the energy resource system. Chaos Soliton Fract 2007, 31:879-888.
17. Sun M., Tian L.X., Fu Y. An energy resources demand-supply system and its dynamical analysis. Chaos Soliton Fract 2007, 32:168-180.
18. Sun M., Jia Q., Tian L.X. A new four-dimensional energy resources system and its linear feedback control. Chaos Soliton Fract 2009, 39:101-108.
19. Sun M., Jia Q., Tian L.X. Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters. Chaos Soliton Fract 2009, 39:1439-1949.
20. Jiang G.P., Zheng W.X. An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems. Chaos Soliton Fract 2005, 26:437-443.