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Anticipating synchronization through optimal feedback control

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Abstract

In this paper, we investigate the anticipating synchronization of a class of coupled chaotic systems through discontinuous feedback control. The stability criteria for the involved error dynamical system are obtained by means of model transformation incorporated with Lyapunov functional and linear matrix inequality. Also, we discuss the optimal designed controller based on the obtained criteria. The numerical simulation is presented to demonstrate the theoretical results.

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Authors and Affiliations

  1. Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

    Tingwen Huang

  2. Graduate school of Information Technology & Mathematical Sciences, University of Ballarat, P.O. Box 663, Ballarat, VIC, 3353, Australia

    David Gao

  3. College of Computer Science and Engineering, Chongqing University, 400030, Chongqing, China

    Chuandong Li

  4. Department of Mathematics, Southern Illinois University, Carbondale, IL, 62901, USA

    MingQing Xiao

Authors
  1. Tingwen Huang
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  2. David Gao
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  3. Chuandong Li
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  4. MingQing Xiao
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Corresponding author

Correspondence to Chuandong Li.

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Huang, T., Gao, D., Li, C. et al. Anticipating synchronization through optimal feedback control. J Glob Optim 52, 281–290 (2012). https://doi.org/10.1007/s10898-011-9665-6

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  • DOI: https://doi.org/10.1007/s10898-011-9665-6

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