Results 51 to 60 of about 549,018 (333)
MachinesThis paper presents a linear algebra-based control algorithm for multivariable gas turbine systems using matrix polynomial theory and the Kronecker product to assign block roots (i.e., block eigenvectors with prescribed latent structure). State and state-
Belkacem Bekhiti +3 more
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A SURJECTIVITY PROBLEM FOR MATRICES AND NULL CONTROLLABILITY FOR DIFFERENCE AND DIFFERENTIAL MATRIX EQUATIONS [PDF]
Surveys in Mathematics and its Applications, 2020 Let P be a complex polynomial. We prove that the associated polynomial matrix-valued function \tildeP is surjective if for each λ ∈ ℂ the polynomial P-λ has at least a simple zero. The null controllability for difference and differential matrix equations
Donal O'Regan, Constantin Buşe
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Symmetric Linearizations for Matrix Polynomials [PDF]
SIAM Journal on Matrix Analysis and Applications, 2007 The aim of this paper is to gain new insight into the vector spaces of pencils \({\mathbf L}_1(P)\) and \({\mathbf L}_2(P)\), and their intersection \(\text{DL}(P)\), that arise in connection with the linearization of the polynomial eigenvalue problem \(P(\lambda)x = 0\).
Higham, Nicholas J. +3 more
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On Hermite-Hermite matrix polynomials [PDF]
Mathematica Bohemica, 2008 Summary: The definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented.
Metwally, M. S. +2 more
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On the representation of solutions of delayed differential equations via Laplace transform
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, the unilateral Laplace transform is used to derive a closed-form formula for a solution of a system of nonhomogeneous linear differential equations with any finite number of constant delays and linear parts given by pairwise permutable ...
Michal Pospíšil, Frantisek Jaros
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The Kalman-Yakubovich-Popov lemma in a behavioural framework [PDF]
, 1997 The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality.
Geest, Robert van der, Trentelman, Harry
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Triangularizing matrix polynomials
Linear Algebra and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taslaman, Leo +2 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika)A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati +2 more
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An Implementation of Image Secret Sharing Scheme Based on Matrix Operations
Mathematics, 2022 The image secret sharing scheme shares a secret image as multiple shadows. The secret image can be recovered from shadow images that meet a threshold number.
Zihan Ren, Peng Li, Xin Wang
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