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Poly-quadratic stability and global chaos synchronization of discrete time hybrid systems

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  • Daafouz, Jamal
  • Millerioux, Gilles

Abstract

This paper considers global chaos synchronization as an observer design problem. Chaos generators are ascribed the form of piecewise linear maps, a particular class of discrete time hybrid systems. Sufficient conditions of global synchronization are formulated using a poly-quadratic stability concept. Such a concept is based on the use of parameter-dependent Lyapunov functions to check stability and leads to a reduction of the restricitions relative to conditions involving a unique Lyapunov function.

Suggested Citation

  • Daafouz, Jamal & Millerioux, Gilles, 2002. "Poly-quadratic stability and global chaos synchronization of discrete time hybrid systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(4), pages 295-307.
    • Handle: RePEc:eee:matcom:v:58:y:2002:i:4:p:295-307
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    Cited by:

    1. Millerioux, G. & Anstett, F. & Bloch, G., 2005. "Considering the attractor structure of chaotic maps for observer-based synchronization problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 68(1), pages 67-85.

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