Passification-based decentralized adaptive synchronization of dynamical networks with time-varying delays

Anton Selivanov, Alexander Fradkov, Emilia Fridman

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)52-72
Number of pages21
JournalJournal of the Franklin Institute
Volume352
Issue number1
DOIs
StatePublished - 1 Jan 2015

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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