Results 51 to 60 of about 89 (69)

Bezout identities with pseudopolynomial entries

Archiv Der Mathematik, 1997
If \(f_1,f_2, \dots, f_s\) are coprime polynomials in \(z\in\mathbb{C}\) then there exist polynomials \(q_1,q_2, \dots, q_s\) such that \[ 1= \sum^s_{i=1} f_i(z) \cdot q_i(z). \] This is the well known Bezout identity. The purpose of this paper is to establish an analogous identity in the case where \(f_1,f_2,\dots,f_s\) are entire functions in ...
FABIANO, Adelina, PUCCI G.
exaly   +4 more sources

Coprime factorization controller reduction with bezout identity induced frequency weighting

Automatica, 1990
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Brian Anderson, Yi Liu
exaly   +2 more sources

Bezout identity related to reduced-order observer-based controllers for singular systems

Automatica, 2001
A design method for causal nonminimal-order observer-based controllers for singular linear systems is proposed. The method can be extended to various cases including full-order and minimal-order causal observer-based controllers. A new state space representation of the Bézout identity is derived. From the Bézout identity, the controller parametrization
Zhiwei Gao, Wing Cheong Daniel Ho
exaly   +2 more sources

A new method for solving the polynomial generalized Bezout identity

IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 1992
L'A. étudie ici l'identité polynômiale de Bézout de la forme \[ \left({-\overline N(s)\atop P(s)}{\overline D(s)\atop Q(s)}\right)\left({-x(s)\atop y(s)}{D(s)\atop N(s)}\right)={I 0\choose 0 I} \] équation bien connue dans la théorie des systèmes, le problème étant de trouver les six matrices polynômiales \(P(s)\), \(Q(s)\), \(\overline N(s ...
exaly   +3 more sources

Determination of doubly coprime matrix fraction discriptions and corresponding Bezout identity solutions for a regular state-space system

Systems and Control Letters, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

ORTHOGONAL POLYNOMIALS AND THE BEZOUT IDENTITY

Difference Equations, Special Functions and Orthogonal Polynomials, 2007
Alejandro Zarzo, Ivan Area, E Godoy
exaly   +2 more sources

Numerical Properties of a Polynomial Algorithm for Solving Scalar Rational Bezout Identity

IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2004
Michael Šebek
exaly   +2 more sources

Time-Varying Bezout Identity Based Robustness Analysis in Right Coprime Factorization System

Lecture Notes in Electrical Engineering
Mingcong Deng, Zizhen An, Deng Mingcong   +2 more
exaly   +2 more sources

Right Coprime Factorization for Nonlinear System with Uncertainty Based on Time-Varying Bezout Identity

2024 International Conference on Advanced Mechatronic Systems (ICAMechS)
Mingcong Deng, Zizhen An
exaly   +2 more sources

Residue Currents and Bezout Identities

1993
Introduction 1. Residue currents in one dimension. Different approaches 1. Residue attached to a holomorphic function 2. Some other approaches to the residue current 3. Some variants of the classical Pompeiu formula 4. Some applications of Pompeiu's formulas. Local results 5. Some applications of Pompeiu's formulas.
Carlos A. Berenstein, Alekos Vidras, Roger Gay, Alain Yger   +3 more
openaire   +3 more sources