Leader-following consensus in networks of agents with nonuniform time-varying delays
type: Item
instance of: scholarly article
title: Leader-following consensus in networks of agents with nonuniform time-varying delays
zbMATH Open document ID: 1264.93007
DOI: 10.1155/2012/848942
author: Zhao-Jun Tang
author: Ting-Zhu Huang
author: Jiangping Hu
author: Jin-Liang Shao
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We are concerned with a leader-following consensus problem for networks of agents with fixed and switching topologies as well as nonuniform time-varying communication delays. By employing Lyapunov-Razumikhin function, a necessary and sufficient condition is derived in the case of fixed topology, and a sufficient condition is obtained in the case when the interconnection topology is switched and satisfies certain condition. Simulation results are provided to illustrate the theoretical results.
Mathematics Subject Classification ID: 93A13
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6173635
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/848942
OpenAlex ID: W2048858713
Wikidata QID: Q58912234
cites work: Consensus and Cooperation in Networked Multi-Agent Systems
cites work: Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
cites work: Coordination of groups of mobile autonomous agents using nearest neighbor rules
cites work: Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays
cites work: Average consensus problems in networks of agents with delayed communications
cites work: Consensus problems in networks of agents with double-integrator dynamics and time-varying delays
cites work: Consensus of Multi-Agent Systems in Directed Networks With Nonuniform Time-Varying Delays
cites work: Consensus of a Class of Second-Order Multi-Agent Systems With Time-Delay and Jointly-Connected Topologies
cites work: Leader-following consensus of second-order agents with multiple time-varying delays
cites work: Consensus seeking in multiagent systems under dynamically changing interaction topologies
cites work: Introduction to functional differential equations
cites work: Stability of time-delay systems
cites work: Q4003772
cites work: Distributed discrete-time coordinated tracking with a time-varying reference state and limited communication
cites work: Q4303969
cites work: Distributed tracking control of leader-follower multi-agent systems under noisy measurement
cites work: An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus
cites work: Stability of multiagent systems with time-dependent communication links
cites work: Distributed multi‐vehicle coordinated control via local information exchange
description: scientific article; zbMATH DE number 6173635