Identify fully uncertain parameters and design controllers based on synchronization |
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| Institution: | 1. Electrophysiology Research Foundation, Warren, New Jersey;2. Rutgers-Robert Wood Johnson Medical School, New Brunswick, New Jersey;3. Uppsala Clinical Research Center, Uppsala, Sweden;4. Boehringer Ingelheim GmbH & Co. KG, Ingelheim am Rhein, Germany;5. Faculty of Medicine Mannheim, University of Heidelberg, Mannheim, Germany;6. Boehringer Ingelheim Pharmaceuticals Inc., Ridgefield, Connecticut;7. Center for Thrombosis and Hemostasis, University Medical Center Mainz, Mainz, Germany;8. McMaster University, Ottawa, Canada;9. Sidney Kimmell Medical School at Jefferson University, Philadelphia, Pennsylvania;10. Lankenau Medical Center, Wynnewood, Pennsylvania;1. Division of Cardiovascular Diseases, Department of Medicine, Mayo Clinic College of Medicine, Rochester, Minnesota;2. Division of Nephrology and Hypertension, Department of Medicine, Mayo Clinic College of Medicine, Rochester, Minnesota;3. Division of Rheumatology, Department of Medicine, Mayo Clinic College of Medicine, Rochester, Minnesota;4. Division of Epidemiology, Department of Health Sciences Research, Mayo Clinic College of Medicine, Rochester, Minnesota;1. Department of Biology, University of Padua, Padua, Italy;2. Department of Cardiac, Thoracic, and Vascular Sciences, University of Padua, Padua, Italy;1. Cathlab Unit, Cardiology Division, Department of Internal Medicine, Sohag University Hospital, Sohag, Egypt;2. Cathlab Unit, Faculty of Medicine, Department of Internal Medicine, Sohag University Hospital, Sohag, Egypt |
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| Abstract: | For a chaotic system with specified structure, all unknown model parameters can be simultaneously identified by a simple combination of adaptive scheme and linear feedback. Furthermore, based on the Lyapunov stability theory, a sufficient condition for chaos synchronization is derived analytically, which guarantees that the system with fully uncertain parameters and the controlled system achieve chaos synchronization. Numerical simulations are presented for demonstration. |
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