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Observer-based impulsive chaotic synchronization of discrete-time switched systems

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Abstract

This paper investigates impulsive chaotic synchronization of discrete-time switched systems with state-dependent switching strategy. The parameter-dependent Lyapunov function (PDLF) technique is used to establish stability criteria for a class of switched systems consisting of both stable and unstable subsystems. With these criteria, sufficient conditions are given to achieve observer-based impulsive chaotic synchronization. Examples are presented to illustrate the criteria.

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Authors and Affiliations

  1. Department of Statistics and Applied Mathematics, Hubei University of Economics, Wuhan, China

    Zhigang Zhang

  2. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1

    Zhigang Zhang & Xinzhi Liu

Authors
  1. Zhigang Zhang
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  2. Xinzhi Liu
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Correspondence to Xinzhi Liu.

Additional information

Research supported by NSERC CANADA.

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Zhang, Z., Liu, X. Observer-based impulsive chaotic synchronization of discrete-time switched systems. Nonlinear Dyn 62, 781–789 (2010). https://doi.org/10.1007/s11071-010-9762-y

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  • DOI: https://doi.org/10.1007/s11071-010-9762-y

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