H2 and H∞ almost output synchronization of heterogeneous continuous‐time multi‐agent systems with passive agents and partial‐state coupling via static protocol

Abstract

SummaryThis paper studies H2 and H∞ almost output synchronization problems for heterogeneous continuous‐time multiagent systems with passive agents and strongly connected communication graph. For non‐introspective passive agents, a linear static protocol can be designed to achieve almost output synchronization with arbitrarily small H2 norm. Moreover, we show that the H∞ almost output synchronization problem via static protocol is not solvable for this class of systems.