Consensus in Asynchronous Multiagent Systems. III. Constructive Stability and Stabilizability

被引:2
作者
Kozyakin, V. S. [1 ]
Kuznetsov, N. A. [2 ,3 ]
Chebotarev, P. Yu. [3 ,4 ]
机构
[1] Russian Acad Sci, Kharkevich Inst Informat Transmiss Problems, Moscow, Russia
[2] Russian Acad Sci, Kotelnikov Inst Radioengn & Elect, Moscow, Russia
[3] Moscow Inst Phys & Technol, Moscow, Russia
[4] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow, Russia
基金
俄罗斯科学基金会;
关键词
asynchronous multi-agent systems; consensus; stability; stabilizability; Markov systems; matrix products; joint spectral radius; GENERALIZED SPECTRAL-RADIUS; PRODUCTS; MATRICES; SETS;
D O I
10.1134/S0005117919060018
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We describe certain classes of linear asynchronous multi-agent systems in discrete time for which the stability problem allows for a constructive solution. We also present a general analytic approach to constructing numerical characteristics similar to the generalized spectral radius in stability theory, which would provide an opportunity to analyze the stabilizability of controlled multi-agent systems. This work completes our survey Consensus in Asynchronous Multi-Agent Systems, whose first two parts have been published in [1, 2].
引用
收藏
页码:989 / 1015
页数:27
相关论文
共 93 条
[1]  
Ahmadi AA, 2013, IEEE DECIS CONTR P, P727, DOI 10.1109/CDC.2013.6759968
[2]  
[Anonymous], 1995, ENCY MATH APPL
[3]  
[Anonymous], ANNOTATED BIBLIO CON
[4]  
[Anonymous], 1995, LINEAR ALGEBRA SIGNA
[5]  
[Anonymous], 2004, Codes for Mass Data Storage Systems
[6]  
Asarin E, 2016, 33 S THEOR ASP COMP, V47
[7]   Consensus and Products of Random Stochastic Matrices: Exact Rate for Convergence in Probability [J].
Bajovic, Dragana ;
Xavier, Joao ;
Moura, Jose M. F. ;
Sinopoli, Bruno .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2013, 61 (10) :2557-2571
[8]  
BARABANOV NE, 1965, AUTOMAT REM CONTR 1, V49, P152
[9]   BOUNDED SEMIGROUPS OF MATRICES [J].
BERGER, MA ;
WANG, Y .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 166 :21-27
[10]  
Blondel V. D., 2002, P S MTNS NOTR DAM US