Synchronization Criterion for Lur’e Systems via Delayed PD Controller View Full Text


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Article Info

DATE

2010-11

AUTHORS

D. H. Ji, Ju H. Park, S. M. Lee, J. H. Koo, S. C. Won

ABSTRACT

In this paper, the effects of a time varying delay on a chaotic drive-response synchronization are considered. Using a delayed feedback proportional-derivative (PD) controller scheme, a delay-dependent synchronization criterion is derived for chaotic systems represented by the Lur’e system with sector and slope restricted nonlinearities. The derived criterion is a sufficient condition for the absolute stability of the error dynamics between the drive and the response systems. By the use of a convex representation of the nonlinearity and the discretized Lyapunov-Krasovskii functional, stability condition is obtained via the LMI formulation. The condition represented in the terms of linear matrix inequalities (LMIs) can be solved by the application of convex optimization algorithms. The effectiveness of the work is verified through numerical examples. More... »

PAGES

298-317

References to SciGraph publications

  • 1999-10. Asymptotic Stability of Neutral Systems with Multiple Delays in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2003. Stability of Time-Delay Systems in NONE
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    http://scigraph.springernature.com/pub.10.1007/s10957-010-9723-0

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    http://dx.doi.org/10.1007/s10957-010-9723-0

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1051755685


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