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

Anton A. Stoorvogel, Ali Saberi, Zhenwei Liu, Donya Nojavanzadeh · International Journal of Robust and Nonlinear Control · 2019

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.

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