Open AccessExponential consensus of non‐linear stochastic multi‐agent systems with ROUs and RONs via impulsive pinning control
Author(s) -
Ren Hongwei,
Deng Feiqi,
Peng Yunjian,
Zhang Bo,
Zhang Chaolong
Publication year - 2017
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/iet-cta.2016.1081
Subject(s) - multi agent system , control theory (sociology) , lyapunov function , mathematics , consensus , exponential function , mathematical optimization , topology (electrical circuits) , computer science , nonlinear system , control (management) , mathematical analysis , artificial intelligence , physics , quantum mechanics , combinatorics
Exponential consensus of non‐linear stochastic multi‐agent systems is investigated. The authors consider a class of non‐linear stochastic multi‐agent systems that are subject to time‐varying delays, randomly occurring uncertainties and randomly occurring non‐linearities. Impulsive pinning control algorithms are proposed to ensure that follower agents track the leader under a fixed topology. On the basis of the Lyapunov function and the Halanay differential inequality of impulsive dynamical systems, we derive sufficient conditions for the globally exponential consensus of the multi‐agent systems. Finally, numerical simulations demonstrate the effectiveness of the proposed theoretical results.