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ADAPTIVE CONTROL OF NETWORKS OF DELAY-COUPLED CHAOTIC SYSTEMS

Judith Lehnert, Peter Guzenko, Alexander Fradkov, Eckehard Schöll
Abstract
We show that in delay-coupled networks of chaotic Rössler systems local stabilization of unstable periodic orbits and global synchronization of these orbits is simultaneously possible. Based on the well-know speed gradient method of control theory, we derive an adaptation algorithm to tune the feedback gain and the coupling strength. Our simulations show that this algorithm finds appropriate values for achieving stabilization and synchronization in small ring networks. Even in the case of disturbance by noise the algorithm can be successfully applied.
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