Results 11 to 20 of about 988,651 (350)

Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation [PDF]

open access: yes, 2007
Fractionally-quadratic transformations which reduce any two-dimensional quadratic system to the special Lienard equation are introduced. Existence criteria of cycles are obtained.
Arnol'd V. I.   +8 more
arxiv   +5 more sources

Elementary symmetric functions of two solvents of a quadratic matrix equation [PDF]

open access: yes, 2008
Quadratic matrix equations occur in a variety of applications. In this paper we introduce new permutationally invariant functions of two solvents of the n quadratic matrix equation X^2- L1X - L0 = 0, playing the role of the two elementary symmetric functions of the two roots of a quadratic scalar equation.
Jivulescu, M. A.   +2 more
arxiv   +5 more sources

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

UNIFIED FUNCTIONAL METHOD FOR SOLVING GENERAL POLYNOMIAL EQUATIONS OF DEGREE LESS THAN FIVE

open access: yesMalaysian Journal of Computing, 2021
A unified method for solving general polynomial equation of degree less than five that incorporate a computational formula that relate the coefficients of the depressed equation and the coefficient of the standard polynomial equation is proposed in this ...
Dozie Felix Nwosu   +3 more
doaj   +1 more source

A Study on the Range Equation Modeling for Multichannel Medium-Earth-Orbit SAR-GMTI Systems

open access: yesRemote Sensing, 2021
This paper studies the range equation modeling of a ground moving target for multichannel medium-Earth-orbit (MEO) synthetic aperture radar (SAR) ground moving target indication (GMTI), an issue which is challenging to tackle due to the non-linear motion
Yongkang Li   +3 more
doaj   +1 more source

Separating Solution of a Quadratic Recurrent Equation [PDF]

open access: yes, 2006
In this paper we consider the recurrent equation $$\Lambda_{p+1}=\frac1p\sum_{q=1}^pf\bigg(\frac{q}{p+1}\bigg)\Lambda_{q}\Lambda_{p+1-q}$$ for $p\ge 1$ with $f\in C[0,1]$ and $\Lambda_1=y>0$ given.
Sinai, Yakov G., Vinogradov, Ilya
core   +2 more sources

Stability of the Popoviciu type functional equations on groups [PDF]

open access: yesOpuscula Mathematica, 2011
We consider the stability problem for a class of functional equations related to the Popoviciu equation.
Małgorzata Chudziak
doaj   +1 more source

The Solution of Quadratic Equations [PDF]

open access: yesNature, 1898
IN answer to Mr. Atkinson's letter, I will explain, as briefly as I can, what appears to me to be the proper way of discussing quadratic equations.
openaire   +5 more sources

Quadratic vector equations [PDF]

open access: yesLinear Algebra and its Applications, 2011
We study in an unified fashion several quadratic vector and matrix equations with nonnegativity hypotheses. Specific cases of such problems (QBD equations, nonsymmetric algebraic Riccati equations, Lu's simple equation, Markovian binary trees equations) have been studied extensively in the past by several authors.
openaire   +3 more sources

A nonlinear Bismut-Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces [PDF]

open access: yes, 2019
We consider a Backward Stochastic Differential Equation (BSDE for short) in a Markovian framework for the pair of processes $(Y,Z)$, with generator with quadratic growth with respect to $Z$.
Addona, Davide   +2 more
core   +2 more sources

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