Distributed containment control of networked fractional-order systems with delay-dependent communications
type: Item
instance of: scholarly article
title: Distributed containment control of networked fractional-order systems with delay-dependent communications
zbMATH Open document ID: 1251.93096
DOI: 10.1155/2012/840873
author: Xueliang Liu
author: Bugong Xu
author: Lihua Xie
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We are concerned with a containment problem of networked fractional-order system with multiple leaders under a fixed directed interaction graph. Based on the neighbor rule, a distributed protocol is proposed in delayed communication channels. By employing the algebraic graph theory, matrix theory, Nyquist stability theorem, and frequency domain method, it is analytically proved that the whole follower agents will flock to the convex hull which is formed by the leaders. Furthermore, a tight upper bound on the communication time-delay that can be tolerated in the dynamic network is obtained. As a special case, the interconnection topology under the undirected case is also discussed. Finally, some numerical examples with simulations are presented to demonstrate the effectiveness and correctness of the theoretical results.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6106326
zbMATH Keywords: containment problem
zbMATH Keywords: networked fractional-order system
Wikidata QID: Q58907449
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/840873
OpenAlex ID: W2122226813
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description: scientific article; zbMATH DE number 6106326