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Chaos Synchronization Criteria and Costs of Sinusoidally Coupled Horizontal Platform Systems

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  • Jianping Cai
  • Xiaofeng Wu
  • Shuhui Chen

Abstract

Some algebraic sufficient criteria for synchronizing two horizontal platform systems coupled by sinusoidal state error feedback control are derived by the Lyapunov stability theorem for linear time-varying system and Sylvester's criterion. The state variables are restricted in a subregion in order to obtain easily verified criteria. The validity of these algebraic criteria is illustrated with some numerical examples. A new concept, synchronization cost, is introduced based on a measure of the magnitude of the feedback control. The minimal synchronization cost as well as optimal coupling strength is calculated numerically. The results are meaningful in engineering application.

Suggested Citation

  • Jianping Cai & Xiaofeng Wu & Shuhui Chen, 2007. "Chaos Synchronization Criteria and Costs of Sinusoidally Coupled Horizontal Platform Systems," Mathematical Problems in Engineering, Hindawi, vol. 2007, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:086852
    DOI: 10.1155/2007/86852
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