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      https://www.ias.ac.in/article/fulltext/pram/092/04/0052

    • Keywords

       

      Full-state hybrid projective synchronisation; inverse full-state hybrid projective synchronisation; chaotic maps; fractional discrete-time systems; Lyapunov stability

    • Abstract

       

      This paper studies the synchronisation of integer- and fractional-order discrete-time chaotic systems with different dimensions. Control laws are proposed for the full-state hybrid projective synchronisation (FSHPS) of a master–slave pair, where the difference equations of the master have an integer order while those of the slave have a fractional order. Moreover, inverse FSHPS laws are proposed for a fractional-order master and an integer-order slave. The Lyapunov stability theory of integer-order maps and the stability theory of linear fractional-order mapsare utilised to establish the asymptotic stability of the zero equilibrium corresponding to the synchronisation error system. Numerical results are presented to verify the findings of the study.

    • Author Affiliations

       

      ADEL OUANNAS1 AMINA-AICHA KHENNAOUI2 OKBA ZEHROUR2 SAMIR BENDOUKHA3 GIUSEPPE GRASSI4 VIET-THANH PHAM5

      1. Mathematics and Computer Science Department, Tebessa University, 12062 Tebessa, Algeria
      2. Department of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria
      3. Department of Electrical Engineering, College of Engineering, Yanbu, Taibah University, Medina, Saudi Arabia
      4. Dipartimento Ingegneria Innovazione, Universita del Salento, 73100 Lecce, Italy
      5. Nonlinear Systems and Applications, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
    • Dates

       
  • Pramana – Journal of Physics | News

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