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Model Reduction and Realization Theory of Linear Switched Systems

In: Realization and Model Reduction of Dynamical Systems

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Listed:
  • Mihály Petreczky

    (CNRS (Centre national de la recherch scientifique), Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL), CNRS, Ecole Centrale)

  • Ion Victor Gosea

    (Max Planck Institute for Dynamics of Complex Technical Systems, Data-Driven System Reduction and Identification (DRI) Group)

Abstract

The goal of this chapter is to present an overview of some recent results on model reduction of linear switched systems and their interplay with realization theory of these systems. The emphasis will be on those results on model reduction which are directly related to realization theory, we do not aim at being exhaustive. In particular, we will review some recent results on balanced truncation and moment matching, focusing on the theoretical aspects rather than on the computational ones.

Suggested Citation

  • Mihály Petreczky & Ion Victor Gosea, 2022. "Model Reduction and Realization Theory of Linear Switched Systems," Springer Books, in: Christopher Beattie & Peter Benner & Mark Embree & Serkan Gugercin & Sanda Lefteriu (ed.), Realization and Model Reduction of Dynamical Systems, pages 197-212, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-95157-3_11
    DOI: 10.1007/978-3-030-95157-3_11
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