Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles †
Using the algebraic state space representation, this paper studies the robust consensus of networked evolutionary games (NEGs) with attackers and forbidden profiles. Firstly, an algebraic form is established for NEGs with attackers and forbidden profiles. Secondly, based on the algebraic form, a nec...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2017-12-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/20/1/15 |
| _version_ | 1828392914364923904 |
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| author | Yalu Li Xueying Ding Haitao Li |
| author_facet | Yalu Li Xueying Ding Haitao Li |
| author_sort | Yalu Li |
| collection | DOAJ |
| description | Using the algebraic state space representation, this paper studies the robust consensus of networked evolutionary games (NEGs) with attackers and forbidden profiles. Firstly, an algebraic form is established for NEGs with attackers and forbidden profiles. Secondly, based on the algebraic form, a necessary and sufficient condition is presented for the robust constrained reachability of NEGs. Thirdly, a series of robust reachable sets is constructed by using the robust constrained reachability, based on which a constructive procedure is proposed to design state feedback controls for the robust consensus of NEGs with attackers and forbidden profiles. Finally, an illustrative example is given to show that the main results are effective. |
| first_indexed | 2024-12-10T07:28:40Z |
| format | Article |
| id | doaj.art-78be1541c1d64c3db453911ebe8717eb |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-12-10T07:28:40Z |
| publishDate | 2017-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-78be1541c1d64c3db453911ebe8717eb2022-12-22T01:57:38ZengMDPI AGEntropy1099-43002017-12-012011510.3390/e20010015e20010015Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles †Yalu LiXueying DingHaitao LiUsing the algebraic state space representation, this paper studies the robust consensus of networked evolutionary games (NEGs) with attackers and forbidden profiles. Firstly, an algebraic form is established for NEGs with attackers and forbidden profiles. Secondly, based on the algebraic form, a necessary and sufficient condition is presented for the robust constrained reachability of NEGs. Thirdly, a series of robust reachable sets is constructed by using the robust constrained reachability, based on which a constructive procedure is proposed to design state feedback controls for the robust consensus of NEGs with attackers and forbidden profiles. Finally, an illustrative example is given to show that the main results are effective.https://www.mdpi.com/1099-4300/20/1/15networked evolutionary gamerobust consensusattackersforbidden profilessemi-tensor product of matrices |
| spellingShingle | Yalu Li Xueying Ding Haitao Li Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles † Entropy networked evolutionary game robust consensus attackers forbidden profiles semi-tensor product of matrices |
| title | Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles † |
| title_full | Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles † |
| title_fullStr | Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles † |
| title_full_unstemmed | Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles † |
| title_short | Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles † |
| title_sort | robust consensus of networked evolutionary games with attackers and forbidden profiles † |
| topic | networked evolutionary game robust consensus attackers forbidden profiles semi-tensor product of matrices |
| url | https://www.mdpi.com/1099-4300/20/1/15 |
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