Semi‐global consensus of multi‐agent systems with intermittent communications and low‐gain feedback

This study addresses the semi‐global consensus of linear multi‐agent systems with a virtual leader, in which the control input of each agent is subject to periodically intermittent saturating actuator. Depending on multiple Lyapunov stability theorem and applying the algebraic‐Riccati‐equation‐based low‐gain feedback technique, the authors can obtain that: when the control width is larger than a fixed value, a connected system with each agent being asymptotically null controllable with bounded controls and marginally stable can guarantee the semi‐global consensus of multi‐agent systems with a virtual leader. Numerical simulations verify the author's theoretical analysis.