Equivalence of hybrid dynamical models

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

doi:10.1016/S0005-1098(01)00059-0

Equivalence of hybrid dynamical models

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

Control Systems

Research output: Contribution to journal › Article › Academic › peer-review

635 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 language	English
Pages (from-to)	1085-1091
Number of pages	7
Journal	Automatica
Volume	37
Issue number	7
DOIs	https://doi.org/10.1016/S0005-1098(01)00059-0
Publication status	Published - 2001

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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.",

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AU - Heemels, W.P.M.H.

AU - Schutter, de, B.

AU - Bemporad, A.

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N2 - 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.

AB - 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.

U2 - 10.1016/S0005-1098(01)00059-0

DO - 10.1016/S0005-1098(01)00059-0

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SN - 0005-1098

VL - 37

SP - 1085

EP - 1091

JO - Automatica

JF - Automatica

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Equivalence of hybrid dynamical models

Abstract

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