Advanced search
Publication Cover
Systems Science & Control Engineering
An Open Access Journal
Volume 2, 2014 - Issue 1
Submit an article Journal homepage
1,061
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Impulsive synchronization of a class of chaotic systems

Yang FangSchool of Automation and Electronic Information, Sichuan University of Science & Engineering, Sichuan643000, People's Republic of China
,
Kang YanSchool of Automation and Electronic Information, Sichuan University of Science & Engineering, Sichuan643000, People's Republic of China
&
Kelin LiInstitute of Nonlinear Science and Engineering Computing, Sichuan University of Science & Engineering, Sichuan643000, People's Republic of ChinaCorrespondence[email protected]
Pages 55-60 | Received 21 Oct 2013, Accepted 22 Dec 2013, Published online: 05 Feb 2014

References

  • Bhowmick, S. K., Pal, P., Roy, P. K., & Dana, S. K. (2012). Lag synchronization and scaling of chaotic attractor in coupled system. Chaos, 22(2), 023151.
  • Boyd, S., Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Philadelphia, PA: SIAM.
  • Chen, Y.-S., & Chang, C.-C. (2006). Simple adaptive synchronization of chaotic systems with random components. Chaos, 16(2), 023128.
  • Ge, Z.-M., & Chen, C.-C. (2004). Phase synchronization of coupled chaotic multiple time scales systems. Chaos, Solitons & Fractals, 20(3), 639–647. doi: 10.1016/j.chaos.2003.08.001
  • He, W., & Cao, J. (2009). Generalized synchronization of chaotic systems: An auxiliary system approach via matrix measure. Chaos, 19(1), 013118. doi: 10.1063/1.3076397
  • He, W., Qian, F., Cao, J., & Han, H. (2011). Impulsive synchronization of two nonidentical chaotic systems with time-varying delay. Physics Letters A, 375(3), 498–504. doi: 10.1016/j.physleta.2010.11.052
  • Khalil, H. K. (1996). Nonlinear systems. Upper Saddle River, NJ: Prentice-Hall.
  • Li, C., Liao, X., & Zhang, X. (2005). Impulsive synchronization of chaotic systems. Chaos, 15(2), 023104. doi: 10.1063/1.1899823
  • Li, Z. G., Wen, C. Y., & Soh, Y. C. (2001). Analysis and design of impulsive control systems. IEEE Transactions on Automatic Control, 46(6), 894–897. doi: 10.1109/9.928590
  • Lorenz, E. N. (1995). The essence of chaos. Seattle: University of Washington Press.
  • Mahmoud, G. M., & Mahmoud, E. E. (2010). Complete synchronization of chaotic complex nonlinear systems with uncertain parameters. Nonlinear Dynamics, 62(4), 875–882. doi: 10.1007/s11071-010-9770-y
  • Pecora, L. M., & Carroll, T. L. (1990). Synchronization in chaotic systems. Physical Review Letters, 64(8), 821–824. doi: 10.1103/PhysRevLett.64.821
  • Sun, J., Zhang, Y., & Wu, Q. (2002). Impulsive control for the stabilization and synchronization of Lorenz systems. Physics Letters A, 298(2), 153–160. doi: 10.1016/S0375-9601(02)00466-8
  • Sun, J., Zhang, Y., & Wu, Q. (2003). Less conservative conditions for asymptotic stability of impulsive control systems. IEEE Transactions on Automatic Control, 48(5), 829–831. doi: 10.1109/TAC.2003.811262
  • Yang, T. (1999). Impulsive control. IEEE Transactions on Automatic Control, 44(5), 1081–1083. doi: 10.1109/9.763234
  • Yang, T. (2001). Impulsive control theory. Berlin: Springer.
  • Yang, T., & Chua, L. O. (1997). 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, 44(10), 976–988. doi: 10.1109/81.633887
  • Yang, T., Yang, L.-B., & Yang, C.-M. (1997). Impulsive synchronization of Lorenz systems. Physics Letters A, 226(6), 349–354. doi: 10.1016/S0375-9601(97)00004-2

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.