Open AccessPartial component consensus of leader-following multi-agent systems
Author(s) -
Wu Bin-Bin,
Zhihui Ma,
Yi Wang
Publication year - 2017
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.66.060201
Subject(s) - component (thermodynamics) , computer science , convergence (economics) , multi agent system , consensus , protocol (science) , network topology , mathematical optimization , stability (learning theory) , variable (mathematics) , topology (electrical circuits) , distributed computing , mathematics , artificial intelligence , physics , thermodynamics , medicine , mathematical analysis , alternative medicine , pathology , combinatorics , machine learning , economics , economic growth , operating system
Consensus problems, as basic topics in distributed coordination of multi-agent systems, have drawn a great deal of attention from different research fields. Generally, consensus refers to the asymptotic convergence of state variables of all agents with time evolution. In this paper, a concept on partial component consensus in multi-agent system is first given, which is a weaker dynamic behavior of group than the consensus in general, and then the problem of partial component consensus in leader-following first-order multi-agent system with the directed network topology is discussed. By designing an appropriate pinning control protocol and building corresponding error system, partial component consensus in multi-agent system is transformed into the partial variable stability of the error system. Using matrix theory and stability theory, a sufficient condition is given to realize partial component consensus in multi-agent system. Numerical simulations are given to illustrate the theoretical results.