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.
American Control Conference
Permitted by IEEE: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5160419
chaotic communications, Interconnected hybrid systems, existence and uniqueness
Abdallah, Chaouki T.; Jorge Piovesan; and Herbert Tanner. "Modeling multi-agent systems with hybrid interacting dynamics." American Control Conference (2009): 3644-3649. doi:10.1109/ACC.2009.5160419.