An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems

Chaos, Solitons and Fractals

Volumn 26, Issue 2, 2005, Pages 437-443

  Jiang, Guo Ping ^a   Zheng, Wei Xing ^b  

^a NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; ERRORS; FEEDBACK; FUNCTIONS; LINEAR EQUATIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SIGNAL TO NOISE RATIO; SYNCHRONIZATION;

CHAOS SYNCHRONIZATION; CHAOTIC SYSTEMS; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV STABILITY THEOREM;

CHAOS THEORY;

EID: 18544367821     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.01.012     Document Type: Article

References (30)

1. J. Alvarez-Ramirez, H. Puebla, and I. Cervantes Stability of observer-based chaotic communications for a class of Lur'e systems Int J Bifurcat Chaos 12 2002 1605 1618
2. G. Chen, and X. Dong From chaos to order-methodologies, perspectives and applications 1998 World Scientific Singapore
3. G. Grassi, and S. Mascolo Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal IEEE Trans Circ Syst I 44 1997 1011 1014
4. G.-P. Jiang, K.-S. Tang, and G. Chen A simple global synchronization criterion for coupled chaotic systems Chaos, Solitons & Fractals 15 5 2003 925 935
5. G.-P. Jiang, G. Chen, and K.-S. Tang A new criterion for chaos synchronization using linear state feedback control Int J Bifurcat Chaos 13 2003 2343 2351
6. T.-L. Liao, and N.-S. Huang An observer-based approach for chaotic synchronization with application to secure communications IEEE Trans Circ Syst I 46 1999 1144 1150
7. K. Murali, and M. Lakshmanan Synchronization through compound chaotic signal in Chua's circuit and Murali-Lakshmanan-Chua circuit Int J Bifurcat Chaos 7 1997 415 421
8. H. Nijmeijer A dynamical control view on synchronization Physica D 154 2001 219 228
9. L.M. Pecora, and T.L. Carroll Synchronization in chaotic systems Phys Rev Lett 64 1990 821 824
10. S. Raghavan, and J.K. Hedrick Observer design for a class of nonlinear systems Int J Control 59 1994 515 528
11. S. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory 1994 SIAM Philadelphia
12. A.A. Martynyuk Stability by Liapunov's matrix function method with applications 1998 Marcel Dekker New York
13. G. Chen, and T. Ueta Yet another chaotic attractor Int J Bifurcat Chaos 9 1999 1465 1466
14. E.N. Lorenz Deterministic nonperiodic flow J Atmos Sci 20 1963 130 141
15. O.E. Rössler An equation for continuous chaos Phys Lett A 57 1976 397 398
16. L.P. Shil'nikov Chua's circuit: rigorous results and future problems Int J Bifurcat Chaos 4 1994 489 519
17. T.L. Carroll, and L.M. Pecora Synchronizing chaotic circuits IEEE Trans Circ Syst I 38 1991 453 456
18. H. Nijmeijer, and I.M.Y. Mareels An observer looks at synchronization IEEE Trans Circ Syst I 44 1997 882 890
19. M. Feki, and B. Robert Observer-based chaotic synchronization in the presence of unknown inputs Chaos, Solitons & Fractals 15 2003 831 840
20. J. Lü, T. Zhou, and S. Zhang Chaos synchronization between linearly chaotic systems Chaos, Solitons & Fractals 14 2002 529 541
21. C.W. Wu, and L.O. Chua A unified framework for synchronization and control of dynamical systems Int J Bifurcat Chaos 4 1994 979 998
22. H.K. Khalil Nonlinear systems 2nd ed. 1996 Prentice Hall New Jersey
23. B.D.O. Anderson, and J.B. Moore Optimal control: Linear quadratic methods 1990 Prentice Hall New Jersey
24. T.-L. Liao, and S.-H. Tsai Adaptive synchronization of chaotic systems and its application to secure communications Chaos, Solitons & Fractals 11 9 2000 1387 1396
25. ∞ synchronization of chaotic Lure'e systems IEEE Trans Circ Syst I 44 1997 891 904
26. K.K. Busawon, and P. Kabore Disturbance attenuation using proportional integral observers Int J Control 74 6 2001 618 627
27. Ö. Morgül, and E. Solak On the synchronization of the chaotic systems by using state observers Int J Bifurcat Chaos 44 1997 1307 1322
28. G.-P. Jiang, and W.X. Zheng A linear-state-feedback based scheme for chaos synchronization and secure communications Dyn Continuous, Discrete Impulsive Syst, Ser B 11a 2004 159 170
29. T. Kapitaniak Continuous control and synchronization in chaotic systems Chaos, Solitons & Fractals 6 1995 237 244
30. A. Stefanski, and T. Kapitaniak Synchronization of two chaotic oscillators via a negative feedback mechanism Chaos, Solitons & Fractals 40 2003 175 185