تقرير
Matrix-Scaled Consensus over Undirected Networks
العنوان: | Matrix-Scaled Consensus over Undirected Networks |
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المؤلفون: | Trinh, Minh Hoang, Vu, Hoang Huy, Le-Phan, Nhat-Minh, Nguyen, Quyen Ngoc |
سنة النشر: | 2023 |
المجموعة: | Computer Science |
مصطلحات موضوعية: | Electrical Engineering and Systems Science - Systems and Control |
الوصف: | 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. Comment: 17 pages, 8 figures, preprint submitted to a journal |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2303.14751 |
رقم الأكسشن: | edsarx.2303.14751 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |