Passification-based decentralized adaptive synchronization of dynamical networks with time-varying delays
نویسندگان
چکیده
This paper is aimed at application of the passification based adaptive control to decentralized synchronization of dynamical networks. We consider Lurie type systems with hyper-minimum-phase linear parts and two types of nonlinearities: Lipschitz and matched. The network is assumed to have both instant and delayed time-varying interconnections. Agent model may also include delays. Based on the speed-gradient method decentralized adaptive controllers are derived, i.e. each controller measures only the output of the node it controls. Synchronization conditions for disturbance free networks and ultimate boundedness conditions for networks with disturbances are formulated. The proofs are based on Passification lemma in combination with Lyapunov–Krasovskii functionals technique. Numerical examples for the networks of 4 and 100 interconnected Chua systems are presented to demonstrate the efficiency of the proposed approach. & 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. rg/10.1016/j.jfranklin.2014.10.007 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. upported by the Russian Foundation for Basic Research (project 14-08-01015), Israel Science Foundation /10), Program of basic research of OEMMPU RAS 01 and Government of Russian Federation (Grant 074University). A conference version of the paper has been presented in [1]. ding author. dress: [email protected] (A. Selivanov). A. Selivanov et al. / Journal of the Franklin Institute 352 (2015) 52–72 53
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