Title
Consensus stabilization of stochastic multi-agent system with Markovian switching topologies and stochastic communication noise
Abstract
In this paper, we study stochastic consensus stabilization problems for a stochastic high-order multi-agent system with Markovian switching topologies and stochastic communication noise. By using the generalized Ito^ formula for the Markovian switching multi-agent system with stochastic communication noise, a state-feedback controller is constructed to ensure that the stochastic high-order multi-agent system reaches consensus in mean square sense when each agent's dynamics has unstable open-loop poles. A necessary and sufficient condition for the stochastic mean square consensus stabilization of the stochastic multi-agent system subject to Markovian switching topologies and additive disturbance is established under a distributed control protocol, i.e., the digraph is balanced and the union of the communication topology set contains a spanning tree. Numerical simulation is presented to demonstrate the theoretical analysis.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2015.03.015
Journal of the Franklin Institute
Field
DocType
Volume
Control theory,Stochastic optimization,Control theory,Multi-agent system,Continuous-time stochastic process,Network topology,Spanning tree,Communication noise,Mathematics,Stochastic control
Journal
352
Issue
ISSN
Citations 
9
0016-0032
8
PageRank 
References 
Authors
0.45
23
6
Name
Order
Citations
PageRank
Pingsong Ming1111.16
jianchang liu2221.68
shubin tan3181.60
Gang Wang434497.03
liangliang shang580.45
chunying jia680.79