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ON GLOBAL EXPONENTIAL SYNCHRONIZATION OF CHUA CIRCUITS

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

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GUANRONG CHEN

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

Department of Electronic Engineering, City University of Hong Kong, P. R. China

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BINGJI XU

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

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, and

YI SHEN

Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P. R. China

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https://doi.org/10.1142/S0218127405013198Cited by:15 (Source: Crossref)

Abstract

This paper develops a theory of global exponential synchronization using two Chua circuits as the platform, for which five theorems are established by constructing new Lyapunov functions and employing the comparison principle in conjunction with the stability theory with respect to partial components.

This work was supported by National Natural Science Foundation of China (Grant Nos. 60274007 and 60474011), Ph.D. Programs Foundation of Ministry of Education of China (No. 20010487005) and China Postdoctoral Science Foundation (No. 2003033462).

Keywords:

References

G. Chen and X. Dong , From Chaos to Order: Methodologies, Perspectives and Applications ( World Scientific , Singapore , 1998 ) . Link, Google Scholar
L. O. Chuaet al., J. Circuits Syst. Comput. 3, 93 (1993). Link, Web of Science, Google Scholar
S. Hays, C. Grebogi and E. Ott, Phys. Rev. Lett. 70, 3031 (1993). Crossref, Web of Science, Google Scholar
G. P. Jiang, W. X. Zheng and G. Chen, Chaos Solit. Fract. 9, 1 (2003). Web of Science, Google Scholar
G. P. Jiang, W. K. S. Tang and G. Chen, Chaos Solit. Fract. 15, 925 (2003). Crossref, Web of Science, Google Scholar
J. K. John and R. E. Amrithar, Int. J. Bifurcation and Chaos 6, 1687 (1994). Google Scholar
X. X. Liao , Absolute Stability of Nonlinear Control Systems ( Kluwer Academic–China Science Press , China , 1993 ) . Crossref, Google Scholar
X. X. Liao , Mathematical Theory and Application of Stability ( Huazhong Normal University Press , China , 2001 ) . Google Scholar
Liao, X. X., Chen, G. & Wang, H. O. [2002] "On global synchronization of chaotic systems," Proc. Amer. Contr. Conf., 8–10 May, Anchorage, Alaska, USA, pp. 2255–2259 . Google Scholar
X. X. Liao and G. Chen, Int. J. Bifurcation and Chaos 13, 207 (2003). Link, Web of Science, Google Scholar
X. X. Liao and G. Chen, Contr. Th. Appl. 20, 253 (2003). Google Scholar
J. H. Lü and G. Chen, Int. J. Bifurcation and Chaos 12, 2917 (2002). Link, Web of Science, Google Scholar
R. Madan , Chua's Circuit: A Paradigm for Chaos ( World Scientific , Singapore , 1993 ) . Link, Google Scholar
M. J. Ogorzalek, IEEE Trans. Circuits Syst. 40, 693 (1993). Crossref, Google Scholar
L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990). Crossref, Web of Science, Google Scholar
L. M. Pecora and T. L. Carroll, Phys. Rev. A44, 2374 (1991). Google Scholar
C. W. Wu and L. O. Chua, Int. J. Bifurcation and Chaos 3, 1619 (1993). Link, Web of Science, Google Scholar
C. W. Wu and L. O. Chua, IEEE Trans. Circuits Syst. 42, 430 (1995). Google Scholar
C. W. Wu and L. O. Chua, Int. J. Bifurcation and Chaos 6, 455 (1996). Link, Web of Science, Google Scholar
L. B. Yang and T. Yang, Chinese J. Electron. 6, 90 (1997). Web of Science, Google Scholar