Robust synchronization by time-varying impulsive control

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 57, Issue 9, 2010, Pages 735-739

  Zhu, Z Q ^a   Hu, H P ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Extended Gronwall's inequality; impulsive control; robust synchronization; time varying impulsive interval

Indexed keywords

ORDINARY DIFFERENTIAL EQUATIONS; SYNCHRONIZATION;

DRIVING SYSTEMS; FIXED TIME; GRONWALL'S INEQUALITY; IMPULSIVE CONTROLS; IMPULSIVE INTERVALS; IMPULSIVE SYNCHRONIZATION; ROBUST SYNCHRONIZATION; TIME VARYING;

TIME VARYING CONTROL SYSTEMS;

EID: 77956696317     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2010.2056050     Document Type: Article

References (17)

1. E. Gilbert and G. Harasty, "A class of fixed-time fuel-optimal impulsive control problems and an efficient algorithm for their solution," IEEE Trans. Autom. Control, vol.AC-16, no.1, pp. 1-11, Feb. 1971.
2. T. Yang and L. O. Chua, "Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.44, no.10, pp. 976-988, Oct. 1997. (Pubitemid 127768200)
3. K. Li, Y. C. Soh, and Z. G. Li, "Chaotic cryptosystem with high sensitivity to parameter mismatch," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.50, no.4, pp. 579-583, Apr. 2003.
4. B. Liu, X. Z. Liu, G. R. Chen, and H. Y. Wang, "Robust impulsive synchronization of uncertain dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol.52, no.7, pp. 1431-1441, Jul. 2005.
5. P. Naghshtabrizi, J. Hespanha, and A. Teel, "Exponential stability of impulsive systems with application to uncertain sampled-data systems," Syst. Control Lett., vol.57, no.5, pp. 378-385, May 2008.
6. X. Z. Liu and K. Rohlf, "Impulsive control of a Lotka-Volterra system," IMA J. Math. Control Inf., vol.15, no.3, pp. 269-284, Sep. 1998.
7. V. Lakshmikantham, D. D. Bainov, and P. S. Simenov, Theory of Impulsive Differential Equations. Singapore: World Scientific, 1989.
8. T. Yang, L. B. Yang, and C. M. Yang, "Impulsive control of Lorenz system," Phys. D, vol. 110, no. 1/2, pp. 18-24, Dec. 1997.
9. T. Yang, L. B. Yang, and C. M. Yang, "Impulsive synchronization of Lorenz systems," Phys. Lett. A, vol.226, no.6, pp. 349-354, Mar. 1997.
10. W. X. Xie, C. Y.Wen, and Z. G. Li, "Impulsive control for the stabilization and synchronization of Lorenz systems," Phys. Lett. A, vol. 275, no. 1/2, pp. 67-72, Oct. 2000.
11. J. T. Sun, Y. P. Zhang, and Q. D. Wu, "Impulsive control for the stabilization and synchronization of Lorenz systems," Phys. Lett. A, vol. 298, no. 2/3, pp. 153-160, Jun. 2002.
12. T. Yang, "Impulsive control," IEEE Trans. Autom. Control, vol.44, no.5, pp. 1081-1083, May 1999.
13. Z. G. Li, C. Y. Wen, and Y. C. Soh, "Analysis and design of impulsive control systems," IEEE Trans. Autom. Control, vol.46, no.6, pp. 894-897, Jun. 2001.
14. Z. G. Li, C. Y. Wen, Y. C. Soh, and W. X. Xie, "The stabilization and synchronization of Chua's oscillators via impulsive control," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.48, no.11, pp. 1351-1355, Nov. 2001.
15. Z. G. Li, C. B. Soh, and X. H. Xu, "Stability of impulsive differential systems," J. Math. Anal. Appl., vol.216, no.2, pp. 644-653, Dec. 1997.
16. C. Y. Wen, Y. Ji, and Z. G. Li, "Practical impulsive synchronization of chaotic systems with parametric uncertainty and mismatch," Phys. Lett. A, vol. 361, no. 1/2, pp. 108-114, Jan. 2007.
17. T. H. Gronwall, "Note on the derivative with respect to a parameter of the solutions of a system of differential equations," Ann. Math., vol.20, pp. 292-296, 1919.