{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:42:34Z","timestamp":1760143354174,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,1,31]],"date-time":"2024-01-31T00:00:00Z","timestamp":1706659200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea grant funded by the Korean government (Ministry of Science and ICT)","doi-asserted-by":"publisher","award":["NRF-2017R1E1A1A03070342"],"award-info":[{"award-number":["NRF-2017R1E1A1A03070342"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Presidential Postdoctoral Fellowship at NTU and an Early Career Research Fellowship at the University of Cambridge","award":["NRF-2017R1E1A1A03070342"],"award-info":[{"award-number":["NRF-2017R1E1A1A03070342"]}]},{"name":"UCL Centre for Doctoral Training in Data Intensive Science funded by STFC","award":["NRF-2017R1E1A1A03070342"],"award-info":[{"award-number":["NRF-2017R1E1A1A03070342"]}]},{"name":"Overseas Research Scholarship from UCL","award":["NRF-2017R1E1A1A03070342"],"award-info":[{"award-number":["NRF-2017R1E1A1A03070342"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We study a node-wise monotone barrier coupling law, motivated by the synaptic coupling of neural central pattern generators. It is illustrated that this coupling imitates the desirable properties of neural central pattern generators. In particular, the coupling law (1) allows us to assign multiple central patterns on the circle and (2) allows for rapid switching between different patterns via simple \u2018kicks\u2019. In the end, we achieve full control by partitioning the state space by utilizing a barrier effect and assigning a unique steady-state behavior to each element of the resulting partition. We analyze the global behavior and study the viability of the design.<\/jats:p>","DOI":"10.3390\/e26020134","type":"journal-article","created":{"date-parts":[[2024,1,31]],"date-time":"2024-01-31T10:44:24Z","timestamp":1706697864000},"page":"134","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Node-Wise Monotone Barrier Coupling Law for Formation Control"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7790-2406","authenticated-orcid":false,"given":"Jin Gyu","family":"Lee","sequence":"first","affiliation":[{"name":"Inria, University of Lille, CNRS, UMR 9189\u2014CRIStAL, F-59000 Lille, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8910-9755","authenticated-orcid":false,"given":"Cyrus","family":"Mostajeran","sequence":"additional","affiliation":[{"name":"School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), Singapore 637371, Singapore"}]},{"given":"Graham Van","family":"Goffrier","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, University College London, London WC1E 6BT, UK"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Moreau, L. 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