Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal |
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| Institution: | 1. LM2CE, LAMSAD, Univ. Hassan 1 FSJES and EST, B.P. 218, Berrechid, Morocco;2. Laboratoire de Mathématiques et de leurs Applications, UMR CNRS 4152, Université de Pau et des Pays de l’Adour, 64000 Pau, France;1. Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, RJ, Brazil;2. Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA;1. Polymer Chemistry and Biomaterials Research Group, Department of Organic and Macromolecular Chemistry, Ghent University, Belgium;2. Center for Nano- and Biophotonics, Ghent University, Belgium;3. Photonics Research Group, Department of Information Technology, Ghent University – IMEC, Belgium;4. Agrosavfe NV, Technologiepark 4 (Bio-incubator), Zwijnaarde, Belgium;1. School of Science, Chongqing University of Posts and Telecommunications, Nan''an 400065, Chongqing, PR China;2. College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, PR China;3. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, PR China;4. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721016, Shanxi, PR China |
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| Abstract: | In this paper, a drive-response synchronization method with linear output error feedback is presented for synchronizing a class of fractional-order chaotic systems via a scalar transmitted signal. Based on stability theory of fractional-order systems and linear system theory, a necessary and sufficient condition for the existence of the feedback gain vector such that global synchronization between the fractional-order drive system and response system can be achieved and its design method are given. This synchronization approach that is simple, global and theoretically rigorous enables synchronization of fractional-order chaotic systems be achieved in a systematic way and does not require the computation of the conditional Lyapunov exponents. An example is used to illustrate the effectiveness of the proposed synchronization method. |
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