Exponential synchronization of the Genesio-Tesi chaotic system via a novel feedback control

Physica Scripta

Volumn 76, Issue 6, 2007, Pages 617-622

  Park, Ju H ^a  

^a Yeungnam University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; SYNCHRONIZATION;

EXPONENTIAL SYNCHRONIZATION; LYAPUNOV STABILITY ANALYSIS;

CHAOTIC SYSTEMS;

EID: 36148950168     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/76/6/004     Document Type: Article

References (27)

1. Pecora L M and Carroll T L 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 821-4
2. Ott E, Grebogi C and Yorke J A 1990 Controlling chaos Phys. Rev. Lett. 64 1196-9
3. Lu H and He Z 1996 Chaotic behavior in first-order autonomous continuous-time systems with delay IEEE Trans. Circuit Syst. 43 700-2
4. Chen G 1997 Chaos on some controllability conditions for chaotic dynamics control Chaos Solitons Fractals 8 1461-70
5. Pyragas K 1992 Continuous control of chaos by self-controlling feedback Phys. Lett. A 170 421-8
6. Park J H and Kwon O M 2005 LMI optimization approach to stabilization of time-delay chaotic systems Chaos Solitons Fractals 23 445-50
7. Park J H 2005 Adaptive synchronization of a unified chaotic systems with an uncertain parameter Int. J. Nonlinear Sci. Numer. Simul. 6 201-6
8. Wang C C and Su J P 2004 A new adaptive variable structure control for chaotic synchronization and secure communication Chaos Solitons Fractals 20 967-77
9. Wu X and Lu J 2003 Parameter identification and backstepping control of uncertain Lü system Chaos Solitons Fractals 18 721-9
10. Park J H 2006 Synchronization of a class of chaotic dynamic systems with controller gain variations Chaos Solitons Fractals 27 1279-84
11. Li D, Lu J A and Wu X 2005 Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems Chaos Solitons Fractals 23 79-85
12. Lü J, Zhou T and Zhang S 2002 Chaos synchronization between linearly coupled chaotic systems Chaos Solitons Fractals 14 529-41
13. Park J H 2005 Stability criterion for synchronization of linearly coupled unified chaotic systems Chaos Solitons Fractals 23 1319-25
14. Agiza H N and Yassen M T 2001 Synchronization of Rossler and Chen chaotic dynamical systems using active control Phys. Lett. A 278 191-7
15. Park J H 2005 Adaptive synchronization of a four-dimensional chaotic systems with uncertain parameters Int. J. Nonlinear Sci. Numer. Simul. 6 305-10
16. Wang Y, Guan Z H and Wang H O 2003 Feedback an adaptive control for the synchronization of Chen system via a single variable Phys. Lett. A 312 34-40
17. Bai E W and Lonngren K E 2000 Sequential synchronization of two Lorenz systems using active control Chaos Solitons Fractals 11 1041-4
18. Lu J, Wu X, Han X and Lü J 2004 Adaptive feedback synchronization of a unified chaotic system Phys. Lett. A 329 327-33
19. Yang X S and Chen G 2002 Some observer-based criteria for discrete-time generalized chaos synchronization Chaos Solitons Fractals 13 1303-8
20. Huang L, Feng R and Wang M 2004 Synchronization of chaotic systems via nonlinear control Phys. Lett. A 320 271-5
21. Chen M and Han Z 2003 Controlling and synchronizing chaotic Genesio system via nonlinear feedback control Chaos Solitons Fractals 17 709-16
22. Park J H 2006 Synchronization of Genesio chaotic system via Backstepping approach, Chaos Solitons Fractals 27 1369-75
23. Park J H 2007 Adaptive controller design for modified projective synchronization of Genesio-Tesi chaotic system with uncertain parameters Chaos Solitons Fractals 34 1154-9
24. Genesio R and Tesi A 1992 A harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems Automatica 28 531-48
25. Dawson D, Qu Z and Carroll J C 1992 On the state observation and output feedback problems for nonlinear uncertain dynamic systems Sys. Cont. Lett. 18 217-22
26. Gahinet P et al 1995 LMI Control Toolbox User's Guide (Massachusetts: The Mathworks)
27. Boyd S et al 1994 Linear Matrix Inequalities in Systems and Control Theory (Philadelphia: SIAM)