Equivalence of hybrid dynamical models

W.P.M.H. Heemels, B. Schutter, de, A. Bemporad

Research output: Contribution to journalArticleAcademicpeer-review

552 Citations (Scopus)

Abstract

This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and max-min-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance for transferring theoretical properties and tools from one class to another, with the consequence that for the study of a particular hybrid system that belongs to any of these classes, one can choose the most convenient hybrid modeling framework.
Original languageEnglish
Pages (from-to)1085-1091
Number of pages7
JournalAutomatica
Volume37
Issue number7
DOIs
Publication statusPublished - 2001

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