Recent advances of finite-field networks
Finite-field networks (FFNs) are a class of multi-agent systems over finite fields with sensing, computing, and communication capabilities. FFNs have been investigated extensively to save computing and communication resources. This paper summarizes the current research results to provide a direction...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-09-01
|
| Series: | Mathematical Modelling and Control |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2023021?viewType=HTML |
| _version_ | 1827392016714039296 |
|---|---|
| author | Yunsi Yang Jun-e Feng Lei Jia |
| author_facet | Yunsi Yang Jun-e Feng Lei Jia |
| author_sort | Yunsi Yang |
| collection | DOAJ |
| description | Finite-field networks (FFNs) are a class of multi-agent systems over finite fields with sensing, computing, and communication capabilities. FFNs have been investigated extensively to save computing and communication resources. This paper summarizes the current research results to provide a direction for future research. First, different models of FFNs are reviewed, including FFNs with time-delays, switching topology, and leader-following structures. Then, the consensus and synchronization problems of multi-agent systems over finite fields are analyzed, and the necessary and sufficient conditions for consensus and synchronization of some autonomous systems have been derived in recent research. Finally, the distributed control of multi-agent systems over finite fields has been developed by many scholars based on various approaches. |
| first_indexed | 2024-03-08T17:23:50Z |
| format | Article |
| id | doaj.art-8ad82c4ab2534c6b95b24e21006247ae |
| institution | Directory Open Access Journal |
| issn | 2767-8946 |
| language | English |
| last_indexed | 2024-03-08T17:23:50Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj.art-8ad82c4ab2534c6b95b24e21006247ae2024-01-03T01:25:10ZengAIMS PressMathematical Modelling and Control2767-89462023-09-013324425510.3934/mmc.2023021Recent advances of finite-field networksYunsi Yang 0Jun-e Feng1Lei Jia21. Institute of Marine Science and Technology, Shandong University, Jinan, China2. School of Mathematics, Shandong University, Jinan, China1. Institute of Marine Science and Technology, Shandong University, Jinan, ChinaFinite-field networks (FFNs) are a class of multi-agent systems over finite fields with sensing, computing, and communication capabilities. FFNs have been investigated extensively to save computing and communication resources. This paper summarizes the current research results to provide a direction for future research. First, different models of FFNs are reviewed, including FFNs with time-delays, switching topology, and leader-following structures. Then, the consensus and synchronization problems of multi-agent systems over finite fields are analyzed, and the necessary and sufficient conditions for consensus and synchronization of some autonomous systems have been derived in recent research. Finally, the distributed control of multi-agent systems over finite fields has been developed by many scholars based on various approaches.https://www.aimspress.com/article/doi/10.3934/mmc.2023021?viewType=HTMLmulti-agent systemfinite-field networkcontrollabilityconsensussemi-tensor product (stp) of matrices |
| spellingShingle | Yunsi Yang Jun-e Feng Lei Jia Recent advances of finite-field networks Mathematical Modelling and Control multi-agent system finite-field network controllability consensus semi-tensor product (stp) of matrices |
| title | Recent advances of finite-field networks |
| title_full | Recent advances of finite-field networks |
| title_fullStr | Recent advances of finite-field networks |
| title_full_unstemmed | Recent advances of finite-field networks |
| title_short | Recent advances of finite-field networks |
| title_sort | recent advances of finite field networks |
| topic | multi-agent system finite-field network controllability consensus semi-tensor product (stp) of matrices |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2023021?viewType=HTML |
| work_keys_str_mv | AT yunsiyang recentadvancesoffinitefieldnetworks AT junefeng recentadvancesoffinitefieldnetworks AT leijia recentadvancesoffinitefieldnetworks |