Containment control for multi-agent systems with fractional Brownian motion

Lipo Mo, Xiaolin Yuan and Yongguang Yu

Applied Mathematics and Computation, 2021, vol. 398, issue C

Abstract: The coordination control of multi-agent systems (MASs) with stochastic noise has been widely studied. But it is still unclear when the stochastic noise is the fractional Brownian motion (fBm), which has the character of memorability. In this paper, we investigate the containment control problem of MASs with fBm over a directed communication network. Firstly, we design several state observers to estimate the states of the followers. Then, based on the estimation information, we design a novel control function for each follower. With the aid of the properties of analytic semigroup and fixed point theorem, we prove that the MASs can achieve the mean-square containment control or quasi-containment control. Finally, we provide simulation examples to demonstrate the effectiveness of the obtained theoretical results.

Keywords: Multi-agent systems; Fractional Brownian motion; Containment control (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:398:y:2021:i:c:s0096300320307670

DOI: 10.1016/j.amc.2020.125814

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