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Projective synchronization for coupled partially linear complex‐variable systems with known parameters
Author(s) -
Mahmoud Gamal M.,
Mahmoud Emad E.,
Arafa Ayman A.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4045
Subject(s) - passivity , synchronization (alternating current) , mathematics , stability theory , variable (mathematics) , projective test , linear system , scaling , signal (programming language) , control theory (sociology) , topology (electrical circuits) , control (management) , computer science , mathematical analysis , pure mathematics , nonlinear system , artificial intelligence , geometry , combinatorics , engineering , physics , quantum mechanics , electrical engineering , programming language
The passivity theory is used to achieve projective synchronization in coupled partially linear complex‐variable systems with known parameters. By using this theory, the control law is thus adopted to make state vectors asymptotically synchronized up to a desired scaling factor. This paper deals with sending different large messages which include image and voice signals. The theoretical foundation of the projective synchronization based on the passivity theory is exploited for application to secure communications. The numerical simulations of secure communication are used to send large message, an image and sound (voice) signal. The errors are controlled to zero that show the agreement between theoretical and numerical simulations results. Copyright © 2016 John Wiley & Sons, Ltd.