Articles written in Pramana – Journal of Physics
Volume 92 Issue 4 April 2019 Article ID 0052 Research Article
Synchronisation of integer-order and fractional-order discrete-time chaotic systems
ADEL OUANNAS AMINA-AICHA KHENNAOUI OKBA ZEHROUR SAMIR BENDOUKHA GIUSEPPE GRASSI VIET-THANH PHAM
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.
Volume 97, 2023
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode