Synchronization of chaotic Lur'e systems with delayed feedback control using deadzone nonlinearity

Chinese Physics B

Volumn 20, Issue 1, 2011, Pages

  Lee, S M ^a   Kwon, O M ^b   Park, Ju H ^c  

^a Daegu University   (South Korea)

^b Chungbuk National University   (South Korea)

^c Yeungnam University   (South Korea)

Author keywords

deadzone; linear matrix inequality; Lur'e systems; synchronization

Indexed keywords

DEAD-ZONE; DEAD-ZONE NONLINEARITY; DELAY DEPENDENT STABILITY CRITERION; DELAY-DEPENDENT STABILIZATION; DELAYED FEEDBACK CONTROL; LINEAR MATRIX INEQUALITY FORMULATIONS; LUR'E SYSTEMS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NON-LINEARITY; NUMERICAL EXAMPLE; PIECEWISE LYAPUNOV FUNCTIONS; SYNCHRONIZATION METHOD;

CONTROL SYSTEM STABILITY; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; STABILITY CRITERIA; SYNCHRONIZATION; UNCERTAIN SYSTEMS;

CHAOTIC SYSTEMS;

EID: 79952368960     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/20/1/010506     Document Type: Article

References (25)

1. Brown R and Kocarev L 2000 Chaos 10 344
2. Hasler H 1994 Synchronization Principles and Applications (Tutorials IEEE-ISCAS'94, Piscataway, NJ) p 314
3. Chua L O 1994 Int. J. Circuit Theor. Appl. 22 279
4. Suykens J A K and Chua L O 1997 Int. J. Bifurcation Chaos 7 1873
5. Lu J, Han F, Yu X and Chen G 2004 Automatica 40 1677
6. Lu J, Yu S, Leung H and Chen G 2006 IEEE Trans. Circuits Syst.-I 53 149
7. Lu J and Chen G 2006 Int. J. Bifurcation Chaos 16 775
8. Khalil H K 1996 Nonlinear Systems (2nd Ed.) (Englewnd Cliffs, NJ: Prentice Hall)
9. Lur'e A I and Postnikov V N 1944 Prikl. Mat. Meh. 8
10. Vidyasagar M 1993 Nonlinear System Analysis (2nd ed) (Englewood Cliffs, NJ: Prentice Hall)
11. Pittet C, Tarbouriech S and Burgat C 1997 Proc. 36th IEEE-CDC p 4518
12. Kapila V, Sparks A G and Pan H 2001 Int. J. Control 74 586
13. Hu T, Teel A R and Zaccarian L 2006 IEEE Trans. Automat. Control 51 1770
14. Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
15. Yalcin M E, Suykens J A K and Vandewalle J 2001 Int. J. Bifur. Chaos 11 1707
16. Liao X and Chen G 2003 Int. J. Bifur. Chaos 13 207
17. Cao J, Li H X and Ho D W C 2005 Chaos, Solitons Fractals 23 1285
18. Han Q L 2007 Phys. Lett. A 360 563
19. Park Ju H, Lee S M and Kwon O M 2007 Phys. Lett. A 371 263
20. Lee S M, Choi S J, Ji D H, Park Ju H and Won S C 2010 Nonlinear Dynamics 59 277
21. Li T, Yu J and Wang Z 2009 Commun. Nonlinear Sci. Numer. Simulat. 14 1796
22. Kwon O M and Park Ju H 2008 Appl. Math. Comput. 203 813
23. Boyd S, Ghaoui L E, Feron E and Balakrishnan V 1994 Linear Matrix Inequalities in System and Control Theory (Philadelphia, SIAM)
24. Dai D, Hu T, Teel A R and Zaccarian L 2009 Syst. Control Lett. 58 365
25. Teel A R and Praly L 2000 Math. Control Signals Syst. 13 95