Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2013), Article ID 501421, 8 pages.

Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances

Xiuchun Li, Jianhua Gu, and Wei Xu

Full-text: Open access

Abstract

Considering the effects of external perturbations on the state vector and the output of the original system, this paper proposes a new adaptive integral observer method to deal with chaos synchronization between the drive and response systems with unknown parameters. The analysis and proof are given by means of the Lyapunov stability theorem and Barbalat lemma. This approach has fewer constraints because many parameters related to chaotic system can be unknown, as shown in the paper. Numerical simulations are performed in the end and the results show that the proposed method is not only suitable to the representative chaotic systems but also applied to some neural network chaotic systems.

Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 501421, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807782

Digital Object Identifier
doi:10.1155/2013/501421

Mathematical Reviews number (MathSciNet)
MR3056233

Zentralblatt MATH identifier
1266.34090

Citation

Li, Xiuchun; Gu, Jianhua; Xu, Wei. Adaptive Integral Observer-Based Synchronization for Chaotic Systems with Unknown Parameters and Disturbances. J. Appl. Math. 2013, Special Issue (2013), Article ID 501421, 8 pages. doi:10.1155/2013/501421. https://projecteuclid.org/euclid.jam/1394807782


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