Strong targeted controllability of multi-agent systems with time-varying topologies over finite fields. (August 2022)

• Record Type: Journal Article
• Authors: Lu, Zehuan; Zhang, Zhiqiang; Ji, Zhijian
• Is Part Of: Automatica. Volume 142(2022)
• Publication Date: 2022-08
• Subjects: Strong targeted controllability -- Multi-agent systems -- Time-varying topologies -- Finite fields; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2022.110404
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this paper, we study the strong targeted controllability of multi-agent systems with time-varying topologies over finite fields from a graph theoretic perspective. We consider leader–follower networks, where only some of the agents are governed by external control inputs, namely the leaders. We develop a graph-theoretic characterization for strong targeted controllability of multi-agent systems with time-varying topologies over finite fields. Specifically, we show that a time-varying multi-agent system is strongly targeted controllable over any finite field if the graphs of the system satisfy certain properties. Our main results are applicable to time-varying topologies with arbitrary fields and coupling weights. We also present a necessary and sufficient condition for the strong structural controllability of the time-invariant multi-agent systems.