Adaptive Predefined‐Time Consensus Control for Stochastic Multi‐Agent Systems

ABSTRACT This paper aims to study the adaptive predefined‐time consensus control for stochastic multi‐agent systems (SMASs). First, the classic Bihari's inequality has been extended and a Lyapunov theorem on predefined‐time stability for nonlinear stochastic systems is established. Second, a distributed predefined‐time consensus protocol is proposed for SMASs by leveraging the adaptive techniques. It is worth emphasizing that the proof of the validity of the control protocol is based on the predefined‐time stability that we have established. Finally, an example is given to verify the main results.