Almost-Sure Finite-Time Stochastic Min-Max Consensus

Abstract

In this brief, a novel stochastic minimum-maximum finite-time consensus protocol is proposed. The stochastic consensus protocol is then applied to a system of agents with continuous high-order dynamics. Based on this protocol, new continuous auxiliary variables are defined, which use only samples of the neighbors’ outputs. If those variables are regulated to zero in finite time, it is proven that finite-time output consensus is achieved. This regulation problem is then solved using a standard finite-time control law. Simulations are provided that illustrate the efficiency of this distributed finite-time control scheme.