Synchronization with error bound of non-identical forced oscillators

Jian Gen Wang; Jianping Cai; Mihua Ma; Jiuchao Feng

Kybernetika (2008)

  • Volume: 44, Issue: 4, page 534-545
  • ISSN: 0023-5954

Abstract

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Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.

How to cite

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Wang, Jian Gen, et al. "Synchronization with error bound of non-identical forced oscillators." Kybernetika 44.4 (2008): 534-545. <http://eudml.org/doc/33948>.

@article{Wang2008,
abstract = {Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.},
author = {Wang, Jian Gen, Cai, Jianping, Ma, Mihua, Feng, Jiuchao},
journal = {Kybernetika},
keywords = {chaotic synchronization with error bound; non-identical forced oscillator; differential inequality; active control; chaotic synchronization; differential inequality; active control; external harmonic excitations},
language = {eng},
number = {4},
pages = {534-545},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Synchronization with error bound of non-identical forced oscillators},
url = {http://eudml.org/doc/33948},
volume = {44},
year = {2008},
}

TY - JOUR
AU - Wang, Jian Gen
AU - Cai, Jianping
AU - Ma, Mihua
AU - Feng, Jiuchao
TI - Synchronization with error bound of non-identical forced oscillators
JO - Kybernetika
PY - 2008
PB - Institute of Information Theory and Automation AS CR
VL - 44
IS - 4
SP - 534
EP - 545
AB - Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.
LA - eng
KW - chaotic synchronization with error bound; non-identical forced oscillator; differential inequality; active control; chaotic synchronization; differential inequality; active control; external harmonic excitations
UR - http://eudml.org/doc/33948
ER -

References

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  14. Wu X. F., Cai J. P., Wang M. H., Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control, J. Sound Vibration 295 (2006), 378-387 MR2239755
  15. Wu X. F., Cai J. P., Zhao Y., Revision and improvement of a theorem for robust synchronization of nonidentical Lur’e systems, IEEE Trans. Circuits and Systems-II 52 (2005), 429–432 
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  17. al. Z. F. Zhang et, Qualitative Theory on Differential Equations, Science Press, Beijing 2006 (in Chinese) 

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