Modeling multi-agent systems with hybrid interacting dynamics

Authors:
Jorge L. Piovesan;Chaouki T. Abdallah;Herbert G. Tanner
Affiliations:
K&A Wireless, LLC, Albuquerque, NM;Department of Electrical and Computer Engineering, The University of New Mexico, Albuquerque, NM;Department of Mechanical Engineering, University of Delaware, Newark, DE
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

We present a new framework for describing multi-agent systems with hybrid interacting dynamics, where the interaction between agents occurs at both the continuous and discrete levels. We define multi-agent systems as Interconnected Hybrid Systems, recast fundamental hybrid concepts such as hybrid execution and reachability in this new interconnected hybrid systems framework, and prove a necessary and sufficient condition for the existence and uniqueness of the interconnected hybrid executions, extending previous work on hybrid systems. We provide conditions on each agent's hybrid model that guarantee the multi-agent system's existence and uniqueness property. Finally, we provide an example that shows how to apply the existence and uniqueness conditions in the design of the agents' dynamics.