Finite-time observability of probabilistic Boolean multiplex control networks

Yuxin Cui; Shu Li; Yunxiao Shan

Kybernetika (2024)

  • Issue: 1, page 60-75
  • ISSN: 0023-5954

Abstract

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This paper investigates the finite-time observability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, the finite-time observability of the PBMCNs is converted into the set reachability issue according to the parallel interconnection technique (a minor modification of the weighted pair graph method in the literature). Secondly, the necessary and sufficient condition for the finite-time observability of PBMCNs is presented based on the set reachability. Finally, the main conclusions are substantiated by providing illustrative examples.

How to cite

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Cui, Yuxin, Li, Shu, and Shan, Yunxiao. "Finite-time observability of probabilistic Boolean multiplex control networks." Kybernetika (2024): 60-75. <http://eudml.org/doc/299496>.

@article{Cui2024,
abstract = {This paper investigates the finite-time observability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, the finite-time observability of the PBMCNs is converted into the set reachability issue according to the parallel interconnection technique (a minor modification of the weighted pair graph method in the literature). Secondly, the necessary and sufficient condition for the finite-time observability of PBMCNs is presented based on the set reachability. Finally, the main conclusions are substantiated by providing illustrative examples.},
author = {Cui, Yuxin, Li, Shu, Shan, Yunxiao},
journal = {Kybernetika},
keywords = {finite-time observability; semi-tensor product; probabilistic Boolean multiplex control networks; set reachability},
language = {eng},
number = {1},
pages = {60-75},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Finite-time observability of probabilistic Boolean multiplex control networks},
url = {http://eudml.org/doc/299496},
year = {2024},
}

TY - JOUR
AU - Cui, Yuxin
AU - Li, Shu
AU - Shan, Yunxiao
TI - Finite-time observability of probabilistic Boolean multiplex control networks
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
IS - 1
SP - 60
EP - 75
AB - This paper investigates the finite-time observability of probabilistic Boolean multiplex control networks (PBMCNs). Firstly, the finite-time observability of the PBMCNs is converted into the set reachability issue according to the parallel interconnection technique (a minor modification of the weighted pair graph method in the literature). Secondly, the necessary and sufficient condition for the finite-time observability of PBMCNs is presented based on the set reachability. Finally, the main conclusions are substantiated by providing illustrative examples.
LA - eng
KW - finite-time observability; semi-tensor product; probabilistic Boolean multiplex control networks; set reachability
UR - http://eudml.org/doc/299496
ER -

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