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H 2 and H ∞ almost output synchronization of heterogeneous continuous‐time multi‐agent systems with passive agents and partial‐state coupling via static protocol
Author(s) -
Stoorvogel Anton A.,
Saberi Ali,
Liu Zhenwei,
Nojavanzadeh Donya
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4726
Subject(s) - synchronization (alternating current) , protocol (science) , norm (philosophy) , graph , control theory (sociology) , output feedback , computer science , topology (electrical circuits) , mathematics , discrete mathematics , combinatorics , control (management) , medicine , alternative medicine , pathology , artificial intelligence , political science , law
Summary This paper studies H 2 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 H 2 norm. Moreover, we show that the H ∞ almost output synchronization problem via static protocol is not solvable for this class of systems.