Gespeichert in:
| Hauptverfasser: | , , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2018
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/1807.04406 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916450995798016 |
|---|---|
| author | Ahn, Hyo-Sung Van Tran, Quoc Trinh, Minh Hoang Moore, Kevin L. Ye, Mengbin Liu, Ji |
| author_facet | Ahn, Hyo-Sung Van Tran, Quoc Trinh, Minh Hoang Moore, Kevin L. Ye, Mengbin Liu, Ji |
| contents | To model the interdependent couplings of multiple topics, we develop a set of rules for opinion updates of a group of agents. The rules are used to design or assign values to the elements of interdependent weighting matrices. The cooperative and anti-cooperative couplings are modeled in both the inverse-proportional and proportional feedbacks. The behaviors of cooperative opinion dynamics are analyzed using a null space property of state-dependent matrix-weighted Laplacian matrices and a Lyapunov candidate. Various consensus properties of state-dependent matrix-weighted Laplacian matrices are predicted according to the intra-agent network topology and inter-dependency topical coupling topologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_04406 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Cooperative opinion dynamics on multiple interdependent topics: Modeling and analysis Ahn, Hyo-Sung Van Tran, Quoc Trinh, Minh Hoang Moore, Kevin L. Ye, Mengbin Liu, Ji Systems and Control To model the interdependent couplings of multiple topics, we develop a set of rules for opinion updates of a group of agents. The rules are used to design or assign values to the elements of interdependent weighting matrices. The cooperative and anti-cooperative couplings are modeled in both the inverse-proportional and proportional feedbacks. The behaviors of cooperative opinion dynamics are analyzed using a null space property of state-dependent matrix-weighted Laplacian matrices and a Lyapunov candidate. Various consensus properties of state-dependent matrix-weighted Laplacian matrices are predicted according to the intra-agent network topology and inter-dependency topical coupling topologies. |
| title | Cooperative opinion dynamics on multiple interdependent topics: Modeling and analysis |
| topic | Systems and Control |
| url | https://arxiv.org/abs/1807.04406 |