Consensus-based synchronizing control for networks of timed event graphs

Consensus algorithms are an attractive approach to perform distributed decision making. To enforce coordination between entities in a network, they need to share information over this network in order to reach a consensus. We propose an approach to apply a consensus-based control protocol to a network of max-plus linear non-autonomous dynamical systems. In this framework the networked control system is required to achieve consensus on the asymptotic growth rate of the outputs. This leads to a synchronized and stable networked system. The conditions needed to achieve consensus and the consensus value are investigated.