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In this paper, we propose a hybrid multi-agent model to describe the interaction taking place on artificial financial markets. In particular, we consider discrete dynamics for the nodes' state variables, which are updated at each trading session. The edge state variables, which define the network of mutual influence, evolve continuously with time. The delicate interplay between the topological evolution...
This paper addresses the problem of synchronization of piecewise smooth systems. We introduce conditions to guarantee bounded synchronization of two coupled PWS systems as a preliminary work for a future study of a huger network of discontinuous agents. Numerical examples are used to confirm theoretical results.
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