Synchronisation of integer-order and fractional-order discrete-time chaotic systems

Pramana: Journal of physics

OKBA ZEHROUR^2¹  AMINA-AICHA KHENNAOUI^2²  SAMIR BENDOUKHA^3³  ADEL OUANNAS^1⁴  GIUSEPPE GRASSI^4⁵ 

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

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

CC BY