Consensus in Asynchronous Multiagent Systems. II. Method of Joint Spectral Radius

被引：0

作者：

V. S. Kozyakin

N. A. Kuznetsov

P. Yu. Chebotarev

机构：

[1] Russian Academy of Sciences,Kharkevich Institute for Information Transmission Problems

[2] Russian Academy of Sciences,Kotelnikov Institute of Radioengineering and Electronics

[3] Moscow Institute of Physics and Technology,Trapeznikov Institute of Control Sciences

[4] Russian Academy of Sciences,undefined

来源：

Automation and Remote Control | 2019年 / 80卷

关键词：

asynchronous multiagent systems; consensus; stability; stabilizability; Markov systems; matrix products; joint spectral radius;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We describe mathematical methods for analyzing the stability, stabilizability and consensus of linear multiagent systems with discrete time. These methods are based on the idea of using the notion of joint/generalized spectral radius of matrix sets to analyze the rate of convergence of matrix products with factors from the sets of matrices with special properties. This is a continuation of the survey by the same authors named “Consensus in Asynchronous Multiagent Systems”; the first part was published in [1].

引用

页码：791 / 812

页数：21

共 50 条

[41] Simulation of bulk, confined, and polydisperse systems. II. Application to chain systems
Escobedo, FA
JOURNAL OF CHEMICAL PHYSICS, 2001, 115 (12): : 5653 - 5661
[42] A Novel Parallel Control Method for Optimal Consensus of Nonlinear Multiagent Systems
Jiao, Shanshan
Wei, Qinglai
Wang, Fei-Yue
IEEE TRANSACTIONS ON CYBERNETICS, 2024, : 1 - 14
[43] Self-organization and multiagent systems: II. Applications and the development technology
V. I. Gorodetskii
Journal of Computer and Systems Sciences International, 2012, 51 : 391 - 409
[44] Self-organization and multiagent systems: II. Applications and the development technology
Gorodetskii, V. I.
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2012, 51 (03) : 391 - 409
[45] Leader-Following Consensus for Linear Multiagent Systems via Asynchronous Sampled-Data Control
Liu, Wei
Huang, Jie
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (07) : 3215 - 3222
[46] Bipartite tracking consensus for asynchronous second-order multiagent systems with event-triggered mechanism
Xia, Hong
Cao, Mengtao
Xu, Ziqiang
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (02) : 524 - 540
[47] High-Order Bipartite Consensus for Multiagent Systems Over Signed Networks Subject to Asynchronous Communications
Shi, Lei
Chen, Lulu
Cheng, Yuhua
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING, 2021, 8 (04): : 3325 - 3334
[48] The Couple-Group Consensus of Heterogeneous Multiagent Systems with Asynchronous Switching in Cooperative-Competitive Networks
Pu, Xingcheng
Sun, Xia
MATHEMATICAL PROBLEMS IN ENGINEERING, 2023, 2023
[49] A new method for designing dual foil electron beam forming systems. II. Feasibility of practical implementation of the method
Adrich, Przemyslaw
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2016, 817 : 100 - 108
[50] Stability of shuffled switched linear systems: A joint spectral radius approach
Aazan, Georges
Girard, Antoine
Greco, Luca
Mason, Paolo
AUTOMATICA, 2022, 143

← 1 2 3 4 5 →