Opinion consensus with delay when the zero eigenvalue of the connection matrix is semi-simple

DOI10.1007/s10884-016-9548-0zbMath1387.92075OpenAlexW2517803274MaRDI QIDQ1692105

Yicheng Liu, Jianhong Wu

Publication date: 26 January 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-016-9548-0

zbMATH Keywords

delaycoupled systemconsensusconsensus value formulaleader-follower system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Eigenvalues, singular values, and eigenvectors (15A18) Group preferences (91B10) Models of societies, social and urban evolution (91D10)

Related Items (2)

Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance ⋮ Exponential stability of a multi-particle system with local interaction and distributed delay

Cites Work

• On the cluster consensus of discrete-time multi-agent systems
• Leader-following consensus of second-order agents with multiple time-varying delays
• Theory of functional differential equations. 2nd ed
• Bipartite flocking for multi-agent systems
• Flocking and asymptotic velocity of the Cucker-Smale model with processing delay
• Finding the exact delay bound for consensus of linear multi-agent systems
• The consensus problem in networks with transmission delays
• Matrix Analysis
• A consensus protocol under directed communications with two time delays and delay scheduling
• Consensus of linear multi-agent systems via event-triggered control
• Generation of clusters in complex dynamical networks via pinning control

This page was built for publication: Opinion consensus with delay when the zero eigenvalue of the connection matrix is semi-simple