Matrix-Scaled Consensus over Undirected Networks

التفاصيل البيبلوغرافية
العنوان: Matrix-Scaled Consensus over Undirected Networks
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