Speaker
Elena Panteley (Senior Researcher, French National Centre of Scientific Research)
Time & Location
May. 24 (Fri) 15:00 / Building 133 Room 316-1
Abstract
In this talk we present an analysis framework for the study of synchronization of nonlinear systems interconnected over networks described by directed graphs. Systems may have different dynamical models or the same model with different parameters. We introduce the concept of dynamic consensus and characterize the synchronization behaviour of the network in terms of the stability properties of two interconnected dynamical systems that evolve in orthogonal spaces: one corresponds to the synchronization error dynamics and the second, to the so-called emergent dynamics. Such an approach allows not only to formulate conditions for practical asymptotic synchronization of heterogeneous networked systems, but to characterize their collective behaviour as well. We present two extensions of the proposed approach to the analysis of networks of Stuart-Landau oscillators and wrap up the talk with a discussion on open problems.
Biography
Elena Panteley received the M.Sc. and Ph.D. degrees in applied mathematics from the State University of St. Petersburg, St. Petersburg, Russia, in 1986 and 1997, respectively. From 1986 to 1998, she held a research position with the Institute for Problem of Mechanical Engineering, Russian Academy of Science, St. Petersburg. Since 2004 she holds a tenure position as Senior Researcher of the French National Centre of Scientific Research (CNRS), at the Laboratory of Signals and Systems, France. She is also associate researcher of ITMO University, St Petersbourg Russia, since 2014. Her research interests include stability and control of nonlinear dynamical systems, network systems with applications to electromechanical and neuronal systems.
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