Second‐order consensus of multi‐agent systems with noise

This study studies second‐order consensus of multi‐agent systems with noise in a leaderless architecture. Two distributed consensus algorithms are designed and sufficient conditions are established, which character how much the noise intensity or the delay multi‐agent systems can stand such that second‐order consensus can be reached almost surely for a given coupling strength and topology structure. Simulations are given to illustrate the effectiveness of the proposed consensus algorithms.