Consensus protocol design for leader-following multi-agent systems with stochastic sampling information

Abstract This paper studies a consensus protocol design for leader-following multi-agent systems (MASs) via stochastic sampling information. Unlike traditional sampled-data control, this paper is focused on the stochastically varying sample intervals with a given probability by the Bernoulli distribution. Based on the Lyapunov–Krasovskii functional and reciprocally convex technique, the sufficient conditions are derived for the stochastic sampled-data protocol design of the error system, which guarantees that the following agent's states can reach an agreement on the leader's state. Finally, the numerical examples are provided to demonstrate the effectiveness of the developed theoretical results.