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Synchronization of nonidentical chaotic fractional-order systems with different orders of fractional derivatives

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Abstract

This paper addresses the problem of synchronization of chaotic fractional-order systems with different orders of fractional derivatives. Based on the stability theory of fractional-order linear systems and the idea of tracking control, suitable controllers are correspondingly proposed for two cases: the first is synchronization between two identical chaotic fractional-order systems with different fractional orders, and the other is synchronization between two nonidentical fractional-order chaotic systems with different fractional orders. Three numerical examples illustrate that fast synchronization can be achieved even between a chaotic fractional-order system and a hyperchaotic fractional-order system.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Zhen Wang

  2. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhen Wang

  3. College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao, 266590, China

    Xia Huang & Zhao Zhao

Authors
  1. Zhen Wang
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  2. Xia Huang
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  3. Zhao Zhao
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Correspondence to Xia Huang.

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Wang, Z., Huang, X. & Zhao, Z. Synchronization of nonidentical chaotic fractional-order systems with different orders of fractional derivatives. Nonlinear Dyn 69, 999–1007 (2012). https://doi.org/10.1007/s11071-011-0322-x

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  • DOI: https://doi.org/10.1007/s11071-011-0322-x

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