A. L. Fradkov, G. K. Grigor'ev, “Decentralized adaptive control of synchronization of dynamic system networks at bounded disturbances”, Avtomat. i Telemekh., 2013, Issue 5,Pages <nobr>137

This article is cited in 9 papers

Robust and Adaptive Systems

Decentralized adaptive control of synchronization of dynamic system networks at bounded disturbances

A. L. Fradkov^ab, G. K. Grigor'ev^a

^a St. Petersburg State University, St. Petersburg, Russia
^b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The problem is considered for adaptive synchronization in the output of the network of interconnected nonlinear dynamic systems with bounded disturbances. The structure of a controller and the adaptation algorithm are found with the aid of the velocity gradient method and the passification method. The sufficient conditions of synchronization and the upper bound for the convergence set relative to the leading subsystem are given. The conditions of the accessibility of synchronization are also obtained for a certain class of monotone nonlipschitz nonlinearities. The results are illustrated by an example of synchronization of the network of interconnected Chua chains with disturbances.

Presented by the member of Editorial Board: G. A. Leonov

Received: 03.06.2011