Abstract

The impulsive synchronization problem for semiconductor laser (SL) chaotic systems is studied. SL systems can be described by the rate equations governing photon density and carrier density. Because the carrier density is not easy to observe or measure, only photon density is used to design the impulsive controller. Several sufficient conditions for the synchronization of SL chaotic systems via impulsive control are derived. Numerical simulations are presented to show the effectiveness of the proposed method.

© 2012 Chinese Optics Letters

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  2. J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).
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  5. S. Banerjee, L. Rondoni, and S. Mukhopadhyay, Opt. Commun. 284, 4623 (2011).
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2011

J. Hu, K. Jia, and J. Ma, Int. J. Light Electron. Opt. 122, 2071 (2011).

S. Banerjee, L. Rondoni, and S. Mukhopadhyay, Opt. Commun. 284, 4623 (2011).

S. Banerjee, L. Rondoni, S. Mukhopadhyay, and A. P. Misra, Opt. Commun. 284, 2278 (2011).

X. Yang, J. Cao, and J. Lu, Nonlinear Anal. Real World Appl. 12, 2252 (2011).

Y. Zhang, J. Zhang, M. Zhang, and Y. Wang, Chin. Opt. Lett. 9, 031404 (2011).

2009

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

G. Xia, Z. Wu, and J. Liao, Opt. Commun. 282, 1009 (2009).

2003

Y. C. Kouomou and P. Woafo, Opt. Commun. 223, 283 (2003).

2002

P. Saha, S. Banerjee, and A. R. Chowdhury, Chaos Solitons Fractals 14, 1083 (2002).

F. Y. Lin and J. M. Liu, Appl. Phys. Lett. 81, 3128 (2002).

2000

S. K. Hwang and J. M. Liu, Opt. Commun. 183, 195 (2000).

1999

T. Kuruvilla and V. M. Nandakumaran, Phys. Lett. A 254, 59 (1999).

1998

G. D. Van Wiggeren and R. Roy, Science 279, 1198 (1998).

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).

L. Larger, J. P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).

1997

T. Yang, L. B. Yang, and C. M. Yang, Phys. D 110, 18 (1997).

1992

J. Mork, B. Tromborg, and J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).

Banerjee, S.

S. Banerjee, L. Rondoni, S. Mukhopadhyay, and A. P. Misra, Opt. Commun. 284, 2278 (2011).

S. Banerjee, L. Rondoni, and S. Mukhopadhyay, Opt. Commun. 284, 4623 (2011).

P. Saha, S. Banerjee, and A. R. Chowdhury, Chaos Solitons Fractals 14, 1083 (2002).

Cao, J.

X. Yang, J. Cao, and J. Lu, Nonlinear Anal. Real World Appl. 12, 2252 (2011).

Cao, L.

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

Chen, J.

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

Chowdhury, A. R.

P. Saha, S. Banerjee, and A. R. Chowdhury, Chaos Solitons Fractals 14, 1083 (2002).

Delorme, F.

L. Larger, J. P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).

Deng, T.

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

Goedgebuer, J. P.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).

L. Larger, J. P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).

Hu, J.

J. Hu, K. Jia, and J. Ma, Int. J. Light Electron. Opt. 122, 2071 (2011).

Hwang, S. K.

S. K. Hwang and J. M. Liu, Opt. Commun. 183, 195 (2000).

Jia, K.

J. Hu, K. Jia, and J. Ma, Int. J. Light Electron. Opt. 122, 2071 (2011).

Kouomou, Y. C.

Y. C. Kouomou and P. Woafo, Opt. Commun. 223, 283 (2003).

Kuruvilla, T.

T. Kuruvilla and V. M. Nandakumaran, Phys. Lett. A 254, 59 (1999).

Larger, L.

L. Larger, J. P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).

Liao, J.

G. Xia, Z. Wu, and J. Liao, Opt. Commun. 282, 1009 (2009).

Lin, F. Y.

F. Y. Lin and J. M. Liu, Appl. Phys. Lett. 81, 3128 (2002).

Lin, X.

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

Liu, J. M.

F. Y. Lin and J. M. Liu, Appl. Phys. Lett. 81, 3128 (2002).

S. K. Hwang and J. M. Liu, Opt. Commun. 183, 195 (2000).

Lu, J.

X. Yang, J. Cao, and J. Lu, Nonlinear Anal. Real World Appl. 12, 2252 (2011).

Ma, J.

J. Hu, K. Jia, and J. Ma, Int. J. Light Electron. Opt. 122, 2071 (2011).

Mark, J.

J. Mork, B. Tromborg, and J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).

Misra, A. P.

S. Banerjee, L. Rondoni, S. Mukhopadhyay, and A. P. Misra, Opt. Commun. 284, 2278 (2011).

Mork, J.

J. Mork, B. Tromborg, and J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).

Mukhopadhyay, S.

S. Banerjee, L. Rondoni, and S. Mukhopadhyay, Opt. Commun. 284, 4623 (2011).

S. Banerjee, L. Rondoni, S. Mukhopadhyay, and A. P. Misra, Opt. Commun. 284, 2278 (2011).

Nandakumaran, V. M.

T. Kuruvilla and V. M. Nandakumaran, Phys. Lett. A 254, 59 (1999).

Porte, H.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).

Rondoni, L.

S. Banerjee, L. Rondoni, and S. Mukhopadhyay, Opt. Commun. 284, 4623 (2011).

S. Banerjee, L. Rondoni, S. Mukhopadhyay, and A. P. Misra, Opt. Commun. 284, 2278 (2011).

Roy, R.

G. D. Van Wiggeren and R. Roy, Science 279, 1198 (1998).

Saha, P.

P. Saha, S. Banerjee, and A. R. Chowdhury, Chaos Solitons Fractals 14, 1083 (2002).

Tromborg, B.

J. Mork, B. Tromborg, and J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).

Wang, Y.

Wiggeren, G. D. Van

G. D. Van Wiggeren and R. Roy, Science 279, 1198 (1998).

Woafo, P.

Y. C. Kouomou and P. Woafo, Opt. Commun. 223, 283 (2003).

Wu, Z.

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

G. Xia, Z. Wu, and J. Liao, Opt. Commun. 282, 1009 (2009).

Xia, G.

G. Xia, Z. Wu, and J. Liao, Opt. Commun. 282, 1009 (2009).

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

Yang, C. M.

T. Yang, L. B. Yang, and C. M. Yang, Phys. D 110, 18 (1997).

Yang, L. B.

T. Yang, L. B. Yang, and C. M. Yang, Phys. D 110, 18 (1997).

Yang, T.

T. Yang, L. B. Yang, and C. M. Yang, Phys. D 110, 18 (1997).

Yang, X.

X. Yang, J. Cao, and J. Lu, Nonlinear Anal. Real World Appl. 12, 2252 (2011).

Zhang, J.

Zhang, M.

Zhang, Y.

Appl. Phys. Lett.

F. Y. Lin and J. M. Liu, Appl. Phys. Lett. 81, 3128 (2002).

Chaos Solitons Fractals

P. Saha, S. Banerjee, and A. R. Chowdhury, Chaos Solitons Fractals 14, 1083 (2002).

Chin. Opt. Lett.

IEEE J. Quantum Electron.

J. Mork, B. Tromborg, and J. Mark, IEEE J. Quantum Electron. 28, 93 (1992).

Int. J. Light Electron. Opt.

J. Hu, K. Jia, and J. Ma, Int. J. Light Electron. Opt. 122, 2071 (2011).

Nonlinear Anal. Real World Appl.

X. Yang, J. Cao, and J. Lu, Nonlinear Anal. Real World Appl. 12, 2252 (2011).

Opt. Commun.

S. K. Hwang and J. M. Liu, Opt. Commun. 183, 195 (2000).

S. Banerjee, L. Rondoni, and S. Mukhopadhyay, Opt. Commun. 284, 4623 (2011).

Y. C. Kouomou and P. Woafo, Opt. Commun. 223, 283 (2003).

T. Deng, G. Xia, L. Cao, J. Chen, X. Lin, and Z. Wu, Opt. Commun. 282, 2243 (2009).

G. Xia, Z. Wu, and J. Liao, Opt. Commun. 282, 1009 (2009).

S. Banerjee, L. Rondoni, S. Mukhopadhyay, and A. P. Misra, Opt. Commun. 284, 2278 (2011).

Phys. D

T. Yang, L. B. Yang, and C. M. Yang, Phys. D 110, 18 (1997).

Phys. Lett. A

T. Kuruvilla and V. M. Nandakumaran, Phys. Lett. A 254, 59 (1999).

Phys. Rev. E

L. Larger, J. P. Goedgebuer, and F. Delorme, Phys. Rev. E 57, 6618 (1998).

Phys. Rev. Lett.

J. P. Goedgebuer, L. Larger, and H. Porte, Phys. Rev. Lett. 80, 2249 (1998).

Science

G. D. Van Wiggeren and R. Roy, Science 279, 1198 (1998).

Other

X. Song, H. Guo, and X. Shi, Impulsive Dif ferential Equation Theory and Its Applications (in Chinese) (Science Press, Beijing, 2011).

E. Gilbert and G. Harasty, IEEE Trans. Autom. Control AC-16, 1 (1971) .

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