Periodic trajectories in P-time event graphs and the non-positive circuit weight problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00543607" target="_blank" >RIV/67985840:_____/22:00543607 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1109/LCSYS.2021.3085521" target="_blank" >https://doi.org/10.1109/LCSYS.2021.3085521</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/LCSYS.2021.3085521" target="_blank" >10.1109/LCSYS.2021.3085521</a>
Alternative languages
Result language
angličtina
Original language name
Periodic trajectories in P-time event graphs and the non-positive circuit weight problem
Original language description
P-time event graphs (P-TEGs) are specific timed discrete-event systems, in which the timing of events is constrained by intervals. In graph theory, the Proportional-Inverse-Constant-Non-positive Circuit weight Problem (PIC-NCP) consists in finding all the values of a parameter such that a particular parametric weighted directed graph does not contain circuits with positive weight. We show that given a natural number d, the existence of consistent d-periodic trajectories for a P-TEG can be formulated as an instance of the PIC-NCP, consequently, we prove that the same algorithm can be used to find d-periodic trajectories in P-TEGs. Morever, exploiting the connection between the PIC-NCP and maxplus algebra, we prove that the existence of a consistent 1-periodic trajectory of a certain period is a necessary and sufficient condition for the existence of a consistent d- periodic trajectory of the same period, for any value of d.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20205 - Automation and control systems
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Control Systems Letters
ISSN
2475-1456
e-ISSN
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Volume of the periodical
6
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
686-691
UT code for WoS article
000668835800032
EID of the result in the Scopus database
2-s2.0-85107333220