Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Petko H. Petkov"'
Autor:
Petko H. Petkov
Publikováno v:
Axioms, Vol 13, Iss 9, p 597 (2024)
In this paper, we derive new probabilistic bounds on the sensitivity of invariant subspaces, deflation subspaces and singular subspaces of matrices. The analysis exploits a unified method for deriving asymptotic perturbation bounds of the subspaces u
Externí odkaz:
https://doaj.org/article/87b9e64020c84aeb95fac0faaeba2cfa
Autor:
Petko H. Petkov
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2023 (2023)
In this paper, two new versions of the Schur algorithm for computing the matrix exponential of an n×n complex matrix A are presented. Instead of the Schur form, these algorithms use the Jordan–Schur form of A. The Jordan–Schur form is found by l
Externí odkaz:
https://doaj.org/article/cd1687f5c0714565b9b1e1ca8de147a1
Autor:
Petko H. Petkov
Publikováno v:
Mathematics, Vol 10, Iss 24, p 4687 (2022)
The paper presents a rigorous perturbation analysis of the QR decomposition A=QR of an n×m matrix A using the method of splitting operators. New asymptotic componentwise perturbation bounds are derived for the elements of Q and R and the subspaces s
Externí odkaz:
https://doaj.org/article/dacf61f3664441c895f5f3374cee14c0
Publikováno v:
Surveys in Mathematics and its Applications, Vol 2 (2007), Pp 29-41 (2007)
We study the sensitivity of the solution of a general type matrix equation Q ± AHXpA - X = 0. Local and nonlocal perturbation bounds are derived. The results are obtained using the technique of Lyapunov majorants and fixed point principles. A numeri
Externí odkaz:
https://doaj.org/article/78b2d591fb03428b99e2fb8fe59aeb10
Publikováno v:
Linear Algebra and its Applications. 638:1-45
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f6a0e3350f019be37a24dab60b60d26c
https://doi.org/10.1016/j.laa.2021.12.014
https://doi.org/10.1016/j.laa.2021.12.014
Publikováno v:
Engineering Science & Technology. :1-20
This paper presents a methodology embodying identification procedures, uncertain modeling, and robust control design of embedded multivariable control systems. Concerning the identification, this methodology involved the determination of probabilisti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::68b14eca8ff3bc331bb5d3a0aa587379
https://doi.org/10.37256/est.222021711
https://doi.org/10.37256/est.222021711
Autor:
Petko H Petkov
The Numerical Jordan Form is the first book dedicated to exploring the algorithmic and computational methods for determining the Jordan form of a matrix, as well as addressing the numerical difficulties in finding it. Unlike the'pure'Jordan form, the
Publikováno v:
IFAC-PapersOnLine. 52:4-9
The paper is devoted to the problems arising in the design and implementation of robust control laws for embedded multivariable control systems. Identifcation, derivation of uncertainty models of multivariable plants as well as problems associated wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a582637df9870177d664a2c53b8a0d1
https://doi.org/10.1016/j.ifacol.2019.12.436
https://doi.org/10.1016/j.ifacol.2019.12.436