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Generalization of combination‐combination synchronization of n‐dimensional time‐delay chaotic system via robust adaptive sliding mode control
Author(s) -
Khan Ayub,
Singh Shikha
Publication year - 2018
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.4830
Subject(s) - control theory (sociology) , mathematics , lyapunov stability , synchronization (alternating current) , chaotic , generalization , synchronization of chaos , stability (learning theory) , sliding mode control , lorenz system , adaptive control , chaotic systems , computer science , control (management) , topology (electrical circuits) , nonlinear system , mathematical analysis , artificial intelligence , combinatorics , physics , machine learning , quantum mechanics
In this manuscript, the methodology to achieve combination‐combination synchronization of time‐delay chaotic system via robust adaptive sliding mode control is introduced. The methodology is implemented by taking identical multiple time‐delay Lorenz chaotic system. By using rigorous mathematical theory, the sufficient condition is drawn for the stability of error dynamics based on Lyapunov stability theory. Theoretical results are supported with the numerical simulations.