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Complementarity modeling of hybrid systems

Authors: Arjan van der Schaft; Johannes M. Schumacher;

Complementarity modeling of hybrid systems

Abstract

The authors describe a complementarity framework for hybrid systems, e.g. for switching control systems. They introduce complementarity systems and investigate well-posedness of complementarity systems. The main results are concerned with uniqueness of smooth continuations. The important working method is the linear complementarity problem from mathematical programming.

Country
Netherlands
Related Organizations
Keywords

switching control, switching control systems, complementarity systems, linear complementarity problem, hybrid systems, smooth continuations, Hierarchical systems, Mathematical modelling of systems, well-posedness, METIS-140315, unilateral constraints, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    190
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
190
Top 10%
Top 1%
Top 10%
bronze