Title
Passification-based decentralized adaptive synchronization of dynamical networks with time-varying delays
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.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2014.10.007
Journal of the Franklin Institute
Field
DocType
Volume
Control theory,Synchronization,Control theory,Mathematical proof,Lipschitz continuity,Adaptive control,Mathematics,Lemma (mathematics)
Journal
352
Issue
ISSN
Citations 
1
0016-0032
5
PageRank 
References 
Authors
0.43
18
3
Name
Order
Citations
PageRank
Anton Selivanov111911.17
Alexander L. Fradkov245078.94
Emilia Fridman32462236.76