Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies
This paper is devoted to the convergence problem for second-order signed networks that are associated with two signed graphs in the presence of heterogeneous topologies. An eigenvalue analysis approach is presented to develop convergence results for second-order signed networks, which employs a sign...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9000559/ |
| _version_ | 1818618524190375936 |
|---|---|
| author | Jianheng Ling Jianqiang Liang Mingjun Du |
| author_facet | Jianheng Ling Jianqiang Liang Mingjun Du |
| author_sort | Jianheng Ling |
| collection | DOAJ |
| description | This paper is devoted to the convergence problem for second-order signed networks that are associated with two signed graphs in the presence of heterogeneous topologies. An eigenvalue analysis approach is presented to develop convergence results for second-order signed networks, which employs a sign-consistency property for signed graph pairs. When the sign-consistency of two heterogeneous signed graphs and the connectivity of their union are given, bipartite consensus (respectively, state stability) can be derived for second-order signed networks if and only if the union signed graph is structurally balanced (respectively, unbalanced). Two examples are provided to illustrate the effectiveness of the obtained results. |
| first_indexed | 2024-12-16T17:22:57Z |
| format | Article |
| id | doaj.art-c24ac5219a7644f1830a699b499eb5c4 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T17:22:57Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-c24ac5219a7644f1830a699b499eb5c42022-12-21T22:23:08ZengIEEEIEEE Access2169-35362020-01-018394203942710.1109/ACCESS.2020.29742889000559Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous TopologiesJianheng Ling0https://orcid.org/0000-0002-7367-2786Jianqiang Liang1https://orcid.org/0000-0001-5897-0374Mingjun Du2https://orcid.org/0000-0003-1391-3936The Seventh Research Division, Beihang University (BUAA), Beijing, ChinaThe Seventh Research Division, Beihang University (BUAA), Beijing, ChinaSchool of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Science), Jinan, ChinaThis paper is devoted to the convergence problem for second-order signed networks that are associated with two signed graphs in the presence of heterogeneous topologies. An eigenvalue analysis approach is presented to develop convergence results for second-order signed networks, which employs a sign-consistency property for signed graph pairs. When the sign-consistency of two heterogeneous signed graphs and the connectivity of their union are given, bipartite consensus (respectively, state stability) can be derived for second-order signed networks if and only if the union signed graph is structurally balanced (respectively, unbalanced). Two examples are provided to illustrate the effectiveness of the obtained results.https://ieeexplore.ieee.org/document/9000559/Bipartite consensuseigenvalue analysisheterogeneous topologysigned networkstructural balance |
| spellingShingle | Jianheng Ling Jianqiang Liang Mingjun Du Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies IEEE Access Bipartite consensus eigenvalue analysis heterogeneous topology signed network structural balance |
| title | Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies |
| title_full | Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies |
| title_fullStr | Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies |
| title_full_unstemmed | Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies |
| title_short | Bipartite Consensus Problems on Second-Order Signed Networks With Heterogeneous Topologies |
| title_sort | bipartite consensus problems on second order signed networks with heterogeneous topologies |
| topic | Bipartite consensus eigenvalue analysis heterogeneous topology signed network structural balance |
| url | https://ieeexplore.ieee.org/document/9000559/ |
| work_keys_str_mv | AT jianhengling bipartiteconsensusproblemsonsecondordersignednetworkswithheterogeneoustopologies AT jianqiangliang bipartiteconsensusproblemsonsecondordersignednetworkswithheterogeneoustopologies AT mingjundu bipartiteconsensusproblemsonsecondordersignednetworkswithheterogeneoustopologies |