Networks of hybrid open systems

TL;DR

This paper extends the framework of open systems to hybrid systems, introducing hybrid open systems, their networks, and interconnection maps to facilitate modular construction and analysis of complex hybrid dynamical systems.

Contribution

It generalizes the concept of networks of open systems to hybrid systems, defining new notions of hybrid open systems, networks, and interconnection maps.

Findings

Defined hybrid open systems and their networks.

Established a formalism for maps between hybrid networks.

Provided a methodology for constructing complex hybrid systems from subsystems.

Abstract

We generalize the results of "Networks of open systems" by the first author to the setting of hybrid systems. In particular we introduce the notions of hybrid open systems, their networks and maps between networks. A network of systems is a blueprint for building a larger system out of smaller subsystems by specifying a pattern of interactions between subsystems --- an interconnection map. Maps between networks allow us to produce maps between complex hybrid dynamical systems by specifying maps between their subsystems