Distributed Consensus of Semi-Markovian Jumping Multiagent Systems with Mode-Dependent Topologies

Yidao Ji

doi:10.1155/2018/6360782

Abstract

This paper investigates the distributed consensus problem of multiagent systems with semi-Markovian jumping dynamics in the mean-square sense. Moreover, the mode-dependent communication topologies and sampled-data consensus protocol over the networks are considered. By semi-Markov jump theory, the consensus problem is first transformed into a mean-square stability problem. Then, sufficient conditions are established with the designed mode-dependent consensus protocol. Finally, a numerical example is provided for verifying the effectiveness of our theoretical results.

Highlights

Owing to the rapid development of computer science and network technology, the multiagent systems (MASs) have become a hot research topic with significant applications including mobile robots [1, 2], sensor networks [3, 4], unmanned aerial vehicles (UAVs) [5, 6], and autonomous underwater vehicles (AUVs) [7, 8]
This paper investigates the distributed consensus problem of multiagent systems with semi-Markovian jumping dynamics in the mean-square sense
It is assumed that the semi-Markovian jumping modes can be detected at the sampling instances, such that the system modes can be obtained by the agents and the communication topologies based on sampled-data communication strategy

Summary

Introduction

Owing to the rapid development of computer science and network technology, the multiagent systems (MASs) have become a hot research topic with significant applications including mobile robots [1, 2], sensor networks [3, 4], unmanned aerial vehicles (UAVs) [5, 6], and autonomous underwater vehicles (AUVs) [7, 8]. The consensus problem of semi-Markovian jumping MASs still remains open and challenging, which is the first motivation of our study. Another motivation lies in the fact that, for the MASs with switching characteristics, the communication topology and the communication strategy would switch such that the consideration of mode-dependent topologies for switched MASs is reasonable. There have been few results despite its practical importance, let alone those with semi-Markovian jumping MASs. In response to the above discussions, this paper solves the distributed consensus problem of semi-Markovian jumping MASs with mode-dependent topologies and information exchanges by employing the key idea from semi-Markovian jumping systems.

Preliminaries and Problem Formulation

Main Results

Illustrative Example

Conclusions