Topology Identification of Dynamical Signed Graphs
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866911581193895936 |
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| author | Sekercioglu, Pelin Wang, Nana Fontan, Angela Dimarogonas, Dimos V. |
| author_facet | Sekercioglu, Pelin Wang, Nana Fontan, Angela Dimarogonas, Dimos V. |
| contents | We propose an adaptive control protocol for identifying the topology of dynamical networks interconnected over undirected graphs with cooperative and antagonistic interactions. The signed network is modeled using a repelling Laplacian. Topology identification relies on an edge-based formulation of the network and adaptive control protocols through the design of a persistently excited auxiliary network. Our approach guarantees the simultaneous identification and synchronization of the unknown signed network and establishes uniform semiglobal practical asymptotic stability of the estimation errors. Numerical simulations validate our theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09079 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topology Identification of Dynamical Signed Graphs Sekercioglu, Pelin Wang, Nana Fontan, Angela Dimarogonas, Dimos V. Systems and Control We propose an adaptive control protocol for identifying the topology of dynamical networks interconnected over undirected graphs with cooperative and antagonistic interactions. The signed network is modeled using a repelling Laplacian. Topology identification relies on an edge-based formulation of the network and adaptive control protocols through the design of a persistently excited auxiliary network. Our approach guarantees the simultaneous identification and synchronization of the unknown signed network and establishes uniform semiglobal practical asymptotic stability of the estimation errors. Numerical simulations validate our theoretical results. |
| title | Topology Identification of Dynamical Signed Graphs |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2604.09079 |