This paper investigates the problem of modified function projective synchronization of two different chaotic systems in the presence of parametric uncertainties and external disturbances. A new robust adaptive control is proposed, which is able to attenuate all random uncertainties of the drive and response systems. Moreover, there is no need to know the norm-bounds of all random uncertainties, and the compensator gains can be automatically adapted to suitable constants. Numerical examples are provided to show the effectiveness of the proposed method.
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This work was partially jointly supported by the Natural Science Foundation of China (61004014, 61174058, 61573112, 61134001), the Natural Science Foundation of Heilongjiang Province of China (F2015043), the Australian Research Council (DP140102180, LP140100471, LE150100079), the Scientific Research Fund of Heilongjiang Provincial Education Department of China (12541106), and the China Scholarship Council. The authors would like to thank the editors and the reviewers for their constructive comments and suggestions which have helped greatly to improve the presentation of the paper.
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Du, H., Shi, P. A new robust adaptive control method for modified function projective synchronization with unknown bounded parametric uncertainties and external disturbances. Nonlinear Dyn 85, 355–363 (2016). https://doi.org/10.1007/s11071-016-2690-8