Finite-time tracking consensus in probability for multi-agent system with noises and time delay

Abstract

This paper studies the finite-time tracking consensus in probability of multi-agent systems with noises and time delay. By using the method of pinning control and observer, the system both with and without the leader as the root of a spanning tree is considered. According to algebraic graph theory, stochastic Lyapunov stability theory and control theory, sufficient conditions for the tracking consensus are given. Numerical simulations are given to verify the effectiveness of the main results.