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On self-synchronization and controlled synchronization
Authors:I.I. Blekhman  A.L. Fradkov  H. Nijmeijer   A.Yu. Pogromsky
Affiliation:

a Mekhanobr-Tekhnika Corporation, 8a, 21st Liniya, V. O., 199026, St. Petersburg, Russia

b Institute for Problems of Mechanical Engineering, Academy of Sciences of Russia, 61, Bolshoy, V. O., 199178, St. Petersburg, Russia

c Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500, AE Enschede, The Netherlands

Abstract:An attempt is made to give a general formalism for synchronization in dynamical systems encompassing most of the known definitions and applications. The proposed set-up describes synchronization of interconnected systems with respect to a set of functionals and captures peculiarities of both self-synchronization and controlled synchronization. Various illustrative examples are given.
Keywords:Nonlinear dynamics   Nonlinear control   Synchronization
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