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We study a dissipativity property which was recently used in several results on economic model predictive control to ensure optimal operation of a system at steady-state as well as stability. This dissipativity property involves a supply rate which depends on the state and input constraints imposed on the system. The main contribution of this paper is to show that under certain conditions, this dissipativity...
This paper studies a clustering phenomena that emerges from a dynamic network with bounded and non-linear interactions. Necessary and sufficient conditions are given describing when the network exhibits clustering. We introduce a synchronization coefficient to quantify whether a network is synchronizing or clustering and provide a robustness margin for clustering. A combinatorial description of the...
This paper studies a class of cooperative networks that exhibit clustering in their steady-state behavior. We consider a collection of agents with heterogeneous dynamics and a bounded interaction rule between neighboring systems. We relate the steady state-behavior of the dynamical network to a static saddle-point problem. The saddle-point description of the system allows for a precise characterization...
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