Matrix-Scaled Consensus over Undirected Networks
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910646789996544 |
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| author | Trinh, Minh Hoang Vu, Hoang Huy Le-Phan, Nhat-Minh Nguyen, Quyen Ngoc |
| author_facet | Trinh, Minh Hoang Vu, Hoang Huy Le-Phan, Nhat-Minh Nguyen, Quyen Ngoc |
| contents | In this paper, we propose matrix-scaled consensus algorithms for linear dynamical agents interacting over an undirected network. Under the proposed algorithms, the state vectors of all agents to asymptotically agree up to some matrix scaling weights. First, the algebraic properties of the matrix-scaled Laplacian and the geometry of the matrix-scaled consensus space are studied. Second, we examine matrix-scaled consensus algorithms for networks of single-integrators with or without constant parametric uncertainties. Nonlinear and finite-time matrix-scaled consensus algorithms are also proposed. Third, observer-based matrix-scaled consensus algorithms for homogeneous or heterogeneous linear-time invariant agents are designed. The convergence of the proposed algorithms is asserted by rigorous mathematical analysis and supported by numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14751 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Matrix-Scaled Consensus over Undirected Networks Trinh, Minh Hoang Vu, Hoang Huy Le-Phan, Nhat-Minh Nguyen, Quyen Ngoc Systems and Control In this paper, we propose matrix-scaled consensus algorithms for linear dynamical agents interacting over an undirected network. Under the proposed algorithms, the state vectors of all agents to asymptotically agree up to some matrix scaling weights. First, the algebraic properties of the matrix-scaled Laplacian and the geometry of the matrix-scaled consensus space are studied. Second, we examine matrix-scaled consensus algorithms for networks of single-integrators with or without constant parametric uncertainties. Nonlinear and finite-time matrix-scaled consensus algorithms are also proposed. Third, observer-based matrix-scaled consensus algorithms for homogeneous or heterogeneous linear-time invariant agents are designed. The convergence of the proposed algorithms is asserted by rigorous mathematical analysis and supported by numerical simulations. |
| title | Matrix-Scaled Consensus over Undirected Networks |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2303.14751 |