Scale-free Collaborative Protocol Design for Synchronization of Homogeneous and Heterogeneous Discrete-time Multi-agent Systems

2020/04/19 by Donya Nojavanzadeh, Zhenwei Liu, Nojavanzadeh, Donya +5 · 4 citations
Computer Science · Engineering · Mathematics · #Artificial intelligence #Class (philosophy) #Computer network #Computer science #Discrete time and continuous time #Distributed Control Multi-Agent Systems #Distributed computing #FOS: Electrical engineering #Graph #Heterogeneous network #Homogeneous #Laplacian matrix #Mathematics #Modular Robots and Swarm Intelligence #Neural Networks Stability and Synchronization #Physics #Protocol (science) #Scale (ratio) #Synchronization (alternating current) #Systems and Control (eess.SY) #Telecommunications #Theoretical computer science #Topology (electrical circuits) #cs.SY #eess.SY #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2004.09498

published in arXiv (Cornell University) (Cornell University) · 10 pages, 8 figures, a part of this paper will be presented at 2020 Chinese Control Conference. arXiv admin note: text overlap with arXiv:1908.06535, arXiv:2001.02117, arXiv:2002.06577

arxiv created 2020/04/19 · openalex publication_date 2020/04/19 · arxiv updated 2020/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This paper studies synchronization of homogeneous and heterogeneous discrete-time multi-agent systems. A class of linear dynamic protocol design methodology is developed based on localized information exchange with neighbors which does not need any knowledge of the directed network topology and the spectrum of the associated Laplacian matrix. The main contribution of this paper is that the proposed protocols are scale-free and achieve synchronization for arbitrary number of agents.

Citations

• LQR-based coupling gain for synchronization of linear systems
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Consensus and Cooperation in Networked Multi-Agent Systems
• State Synchronization for Homogeneous Networks of Non-introspective Agents in Presence of Input Saturation -A Scale-free Protocol Design
• Regulated State Synchronization for Homogeneous Networks of Non-introspective Agents in Presence of Input Delays: A Scale-Free Protocol Design (with a general MATLAB implementation)
• Regulated State Synchronization for Discrete-Time Homogeneous Networks of Non-Introspective Agents in Presence of Unknown Non-Uniform Input Delays: A Scale-Free Protocol Design (with a general MATLAB implementation)

Cited by

• Scale-free Protocol Design for Output and Regulated Output Synchronization of Heterogeneous Multi-agent Systems
• Scale-free Protocol Design for Output Synchronization of Heterogeneous Multi-agent subject to Unknown, Non-uniform and Arbitrarily Large Input Delays
• Scale-free Linear Observer-based Protocol Design for Global Regulated State Synchronization of Homogeneous Multi-agent Systems with Non-introspective Agents Subject to Input Saturation
• Scale-free Design for Delayed Regulated Synchronization of Homogeneous and Heterogeneous Discrete-time Multi-agent Systems Subject to Unknown Non-uniform and Arbitrarily Large Communication Delays

Related

• H_∞ Almost Output and Regulated Output Synchronization of Heterogeneous Multi-agent Systems: A Scale-free Protocol Design
• Scalable global state synchronization of discrete-time double integrator multi-agent systems with input saturation via linear protocol (Completed Version)
• State Synchronization of Discrete-time Multi-agent Systems in Presence of Unknown Nonuniform Communication Delays: A Scale-free Protocol Design
• Scale-free Protocol Design for Output Synchronization of Heterogeneous Multi-agent subject to Unknown, Non-uniform and Arbitrarily Large Input Delays
• Scale-free Design for Delayed Regulated Synchronization of Homogeneous and Heterogeneous Discrete-time Multi-agent Systems Subject to Unknown Non-uniform and Arbitrarily Large Communication Delays