Open AccessOptimal mean‐square consensus for heterogeneous multi‐agent system with probabilistic time delay
Author(s) -
Sun Fenglan,
Li Hao,
Zhu Wei,
Kurths Jürgen
Publication year - 2021
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12101
Subject(s) - correctness , probabilistic logic , multi agent system , control theory (sociology) , computer science , position (finance) , consensus , network topology , protocol (science) , mathematical optimization , state (computer science) , stochastic process , function (biology) , mathematics , algorithm , control (management) , artificial intelligence , statistics , medicine , alternative medicine , finance , pathology , evolutionary biology , economics , biology , operating system
This paper studies the mean‐square consensus for heterogeneous multi‐agent systems with probabilistic time delay. Each agent in the system has an objective function and only knows its own objective function. Control protocols for the system both over the fixed and the switched weighted‐balanced topologies are designed. The consensus state of agents' position can make the sum of objective functions minimum. By adopting probability statistics, stochastic process, matrix theory and some stability method, sufficient conditions for the consensus protocol are given. Several simulations are presented to illustrate the potential correctness of the results.