Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 44, Issue 10, 1997, Pages 976-988

  Yang, Tao ^a   Chua, Leon O ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Chaotic secure communication; Chua's oscillator; Continuous cryptographic function; Impulsive control; Impulsive synchronization

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; CONTROL THEORY; CRYPTOGRAPHY; OSCILLATORS (ELECTRONIC); SECURITY OF DATA; SYNCHRONIZATION; SYSTEM STABILITY;

CHAOTIC SECURE COMMUNICATION; CHUA'S OSCILLATOR; IMPULSIVE CONTROL;

DIGITAL CONTROL SYSTEMS;

EID: 0031258982     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.633887     Document Type: Article

References (20)

1. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of Impulsive Differential Equations. Singapore: World Scientific, 1989.
2. E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Lett., vol. 64, pp. 1196-1199, 1990.
3. G. Chen and X. Dong, "From chaos to order-Perspectives and methodologies in controlling nonlinear dynamical systems," Int. J. Bifurc. Chaos, vol. 3, pp. 1363-1409, 1993.
4. L. O. Chua, T. Yang, G. Q. Zhong, and C. W. Wu, "Adaptive synchronization of Chua's oscillators," Int. J. Bifurc. Chaos, vol. 6, no. 1, pp. 189-201, 1996.
5. C. W. Wu, T. Yang, and L. O. Chua, "On adaptive synchronization and control of nonlinear dynamical systems," Int. J. Bifurc. Chaos, vol. 6, no. 3, pp. 455-471, Mar. 1996.
6. T. Stojanovski, L. Kocarev, and U. Parlitz, "Driving and synchronizing by chaotic impulses," Phys. Rev. E, vol. 43, no. 9, pp. 782-785, Sept. 1996.
7. K. Pyragas, "Continuous control of chaos by self-controlling feedback," Phys. Lett. A., vol. 170, pp. 421-428, 1992.
8. J. Schweizer and M. P. Kennedy, "Predictive Poincaré control: A control theory for chaotic systems," Phys. Rev. E, vol. 52, no. 5, pt. A, pp. 4865-4876, Nov. 1995.
9. E. R. Hunt and G. Johnson, "Keeping chaos at bay," IEEE Spectrum, pp. 32-36, Nov. 1993.
10. A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations. Singapore: World Scientific, 1995.
11. L. O. Chua, "Global unfolding of Chua's circuit," IEICE Trans. Fundament., vol. E76-A, no. 5, pp. 704-734, May 1993.
12. T. Yang, "Recovery of digital signals from chaotic switching," Int. J. Circuit Theory Applicat., vol. 23, no. 6, pp. 611-615, Nov./Dec. 1995.
13. K. M. Short, "Steps toward unmasking secure communications," Int. J. Bifurc. Chaos, vol. 4, pp. 957-977, 1994.
14. T. Yang, C. W. Wu, and L. O. Chua, "Cryptography based on chaotic systems," IEEE Trans. Circuits Syst. I, vol. 44, pp. 469-472, May 1997.
15. 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.
16. R. E. Amritkar and N. Gupte, "Synchronization of chaotic orbits: The effect of a finite time step," Phys. Rev. E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), vol. 47, no. 6, pp. 3889-3895, June 1993.
17. T. Yang and L. O. Chua, "Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication," Int. J. Bifurc. Chaos, vol. 7, no. 3, pp. 645-664, Mar. 1997.
18. "Impulsive control and synchronization of chaotic systems and secure communication," Electron. Res. Lab., College of Eng., Univ. California, Berkeley, Memo. UCB/ERL M97/12, 29 Jan. 29, 1997.
19. T. Yang, L.-B. Yang, and C.-M. Yang, "Impulsive control of Lorenz system," Physica D, 1997, in press.
20. T. Yang, C.-M. Yang, and L.-B. Yang, "Control of Rössler system to periodic motions using impulsive control methods," Phys. Lett. A, vol. 232, pp. 356-361, Aug. 4, 1997.