On algebro-geometric properties of cyclic subspaces of linear operators

Title	On algebro-geometric properties of cyclic subspaces of linear operators
Authors	V. I. Nikonov¹ ¹National Research Ogarev Mordovia State University
Annotation	The algebraic and geometric properties of cyclic subspaces with respect to linear operators, which arise in the study of linear control systems, are investigated. The resulting properties are expressed in terms of the minimal annihilating polynomials of the sum and intersection of the corresponding cyclic subspaces. The use of the obtained results allows one to choose the desired control action for solving problems of partial stability.
Keywords	linear operator, cyclic subspace, minimal annihilating polynomial.
Citation	Nikonov V. I. ''On algebro-geometric properties of cyclic subspaces of linear operators'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 145-148. Available at: https://conf.svmo.ru/files/2022/papers/paper24.pdf. - Date of access: 23.11.2024.