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

Abstract

Summary This 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.

H2 Almost State Synchronization of Homogeneous Multi-agent Systems–A Scale-free Design

“…This work was extended later in [16,33,36] to heterogeneous MAS with nonintrospective agents and without the additional communication and for network with time-varying graphs. H ∞ almost synchronization via static protocols is studied in [23] for MAS with passive and passifiable agents. Recently, necessary and sufficient conditions are provided in [25] for solvability of H ∞ almost synchronization for homogeneous networks with non-introspective agents and without additional communication exchange.…”

“…Recent work on H 2 almost synchronization problem is [25] which provided necessary and sufficient conditions for solvability of H ∞ almost synchronization for homogeneous networks with non-introspective agents and without additional communication exchange. Finally, H 2 almost synchronization via static protocols is also studied in [23] for MAS with passive and passifiable agents.…”