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Robust Synchronization of Distributed-Delay Systems via Hybrid Control

In: Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author

Listed:
  • Peter Stechlinski

    (University of Waterloo)

  • Xinzhi Liu

    (University of Waterloo)

Abstract

Drive and response systems which exhibit time-delays and uncertainties are synchronized using hybrid control. Classes of dwell-time satisfying switching rules are identified under which synchronization can be achieved in a robust manner. The theoretical results are established using multiple Lyapunov functions and Halanay-like inequalities.

Suggested Citation

  • Peter Stechlinski & Xinzhi Liu, 2016. "Robust Synchronization of Distributed-Delay Systems via Hybrid Control," Springer Books, in: Jacques Bélair & Ian A. Frigaard & Herb Kunze & Roman Makarov & Roderick Melnik & Raymond J. Spiteri (ed.), Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pages 737-748, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-30379-6_66
    DOI: 10.1007/978-3-319-30379-6_66
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