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Adaptive control and synchronization of complex networks

Alexander Fradkov, IPME, RAS, St.Petersburg

Abstract:

One of key problems in control of complex networks is the problem of coping with uncertainty. Uncertainty may manifest itself both as uncertainty of the models of the nodes and as uncertainty of interconnections. Adaptation is recognized as a universal approach to control uncertain systems for several decades. Recently adaptive systems were successfully applied for various control problems for networks. In addition to classical control problems, several new control goals become important for network. Among them synchronization (coordinated behavior of several subsystems, often called consensus ) is of utmost importance. In the talk a survey of a number of adaptive control and synchronization results for interconnected systems and networks will be given. New results for output control/synchronization of networks (multi-agent systems) based on Lyapunov and passification methods will be presented. The conditions of adaptive synchronization under communication constraints will be given as well as an example: adaptive synchronization of chaotic networks.

Slides (pdf, 1.3M)