Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs

This paper studies the leaderless consensus of stochastic multi-agent systems based on partial differential equations–ordinary equations (PDE-ODEs). Compared with traditional state coupling, most significant difference between this is that space coupling designed. Two boundary couplings are investigated in article, respectively, collocated measurement and distributed measurement. Using Lyapunov directed method, sufficient conditions for system to achieve can be obtained. Finally, two simulation examples show feasibility proposed spatial couplings.