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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Discrete Event Dynam...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Discrete Event Dynamic Systems
Article . 1996 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1996
Data sources: zbMATH Open
DBLP
Article . 2020
Data sources: DBLP
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Hierarchical control of discrete-event systems

Authors: Kai C. Wong; Walter Murray Wonham;

Hierarchical control of discrete-event systems

Abstract

An abstract hierarchical control theory is developed for discrete-event systems, based on the concepts of control structures and observers. The investigation is set in an elementary framework of formal languages constructed from the simplest principles of sets (languages) and order (lattices). The introduced concept of ``control structure'' is an abstract generalization of the family of controllable sublanguages in the standard Ramadge-Wonham approach. It is shown that, given a system endowed with a control structure, such structure is induced on image (or quotient) systems, establishing ``control consistency'' and as a consequence achieving hierarchical consistency. This abstract generalization allows a natural adaptation of the hierarchical theory to the Brandin-Wonham timed extension. The concept of ``observer'' -- a congruence with respect to a suitably defined dynamic action -- fits into the lattice-theoretic picture and provides conditions for architectural decomposition subject to the requirement of nonblocking. In the course of this development, a bridge is spanned between the observer theory of control engineering and the process-algebraic idea of ``observation equivalence'' in computer science.

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Keywords

Hierarchical systems, Observability, observers, abstract hierarchical control, control structures, control consistency, nonblocking, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), discrete-event systems, formal languages, hierarchical consistency

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    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).
    191
    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).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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Powered by OpenAIRE graph
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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!
191
Top 10%
Top 1%
Top 10%
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