Adaptive control and synchronization of identical new chaotic flows with unknown parameters via single input

Applied Mathematics and Computation

Volumn 216, Issue 4, 2010, Pages 1316-1324

  Yang, Chi Ching ^a  

^a HSIUPING INSTITUTE OF TECHNOLOGY   (Taiwan)

Author keywords

Adaptive synchronization with single input; Lyapunov stability theory; Single input; Synchronization via single input

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE PARAMETERS; ADAPTIVE SYNCHRONIZATIONS; CHAOTIC FLOWS; CIRCUIT REALIZATION; LINEAR FEEDBACK; LINEAR FEEDBACK CONTROL; LYAPUNOV STABILITY THEORY; NON-LINEAR DYNAMICS; SINGLE INPUT; SUFFICIENT CONDITIONS; UNKNOWN PARAMETERS;

ADAPTIVE CONTROL SYSTEMS; NONLINEAR ANALYSIS; SYNCHRONIZATION; SYSTEM STABILITY;

CHAOTIC SYSTEMS;

EID: 77950297482     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.02.026     Document Type: Article

References (21)

1. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990) 821-824
2. Ott E., Grebogi C., and Yorke J.A. Controlling chaos. Phys. Rev. Lett. 64 (1990) 1196-1199
3. Zhang Q., and Lu J. Chaos synchronization of a new chaotic system via nonlinear control. Chaos Soliton Fract. 37 (2008) 175-179
4. Wu Y., Zhou X., Chen J., and Hui B. Chaos synchronization of a new 3D chaotic system. Chaos Soliton Fract. 42 (2009) 1812-1819
5. Chen H.K. Global chaos synchronization of a new chaotic system via nonlinear control. Chaos Soliton Fract. 23 (2005) 1245-1251
6. Vincent H.E. Synchronization of Rikitake chaotic attractor using active control. Phys. Lett. A 343 (2005) 133-138
7. Zhou X., Wu Y., Li Y., and Xue H. Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters. Appl. Math. Comput. 203 (2008) 80-85
8. Stojanovski T., Kocarev L., and Parlitz U. Driving and synchronizing by chaotic impulses. Phys. Rev. E 54 (1996) 2128-2132
9. Yassen M.T. Chaos control of chaotic dynamical systems using back stepping design. Chaos Soliton Fract. 27 (2006) 537-548
10. Kemih K. Control of nuclear spin generator based on passive control. Chaos Soliton Fract. 41 (2009) 1897-1901
11. Wang F., and Liu C. A new criterion for chaos and hyperchaos synchronization using linear feedback control. Phys. Lett. A 360 (2006) 274-278
12. Chen H.H. Stability criterion for synchronization of chaotic systems using linear feedback control. Phys. Lett. A 360 (2006) 274-278
13. Rafikov M., and Balthazae J.M. On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Comm. Non. Sci. Num. Sim. 13 (2008) 1246-1255
14. Wang Y., Guan Z.H., and Wang H.O. Feedback and adaptive control for the synchronization of Chen system via a single variable. Phys. Lett. A 312 (2003) 34-40
15. Agiza H.N. Chaos synchronization of Lü dynamical system. Nonlinear Anal. 58 (2004) 11-20
16. Yassen M.T. Adaptive control and synchronization of a modified Chua's circuit system. Appl. Math. Comput. 135 (2003) 113-128
17. Wang Z.L., and Shi X.R. Chaotic bursting lag synchronization of Hindmarsh-Rose system via a single controller. Appl. Math. Comput. 215 (2009) 1091-1097
18. Li X.F., Chlouverakis K.E., and Xu D.L. Nonlinear dynamics and circuit realization of a new chaotic flow: a variant of Lorenz, Chen and Lü. Nonlinear Analysis RWA 10 4 (2009) 2357-2368
19. Li X.F., Leung A.C.S., Liu X.J., Han X.P., and Chu Y.D. Adaptive synchronization of identical chaotic and hyper-chaotic systems with uncertain parameters. Nonlinear Analysis RWA (2009) 10.1016/j.nonrwa.2009.06.011
20. Slotine J.E., and Li W. Applied Nonlinear Control (1991), Prentice Hall, New Jersey pp. 69-80
21. Khall H.K. Nonlinear Systems (2002), Prentice Hall, New Jersey pp.117-124