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Adaptive synchronization of networks with bounded disturbances or delays under incompleteness of measurement and control

Alexander Fradkov, Anton Selivanov, Grigoriy Grigoriev
An adaptive master-slave output feedback synchronization
problem is investigated firstly for a network of
interconnected nonlinear dynamical systems with delayed
couplings and then for a network of systems with bounded disturbance. The proposed structure of decentralized
controller and adaptation algorithms in both cases is based on the speed-gradient method and passivity. Conditions of synchronization for systems with delayed couplings are established. The problem of convergence with preliminarily specified accuracy is studied for the networks of dynamical systems with disturbances. Application of the obtained results is demonstrated by example of the network of Chua systems.
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