In the article, the RASLIS software package is developed, which is based on the algorithms of robust analysis and synthesis of interval control systems obtained by the authors with affine uncertainty of the coefficients of the characteristic polynomial ...
Tatiana A. Ezangina +1 more
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Stability of Real Parametric Polynomial Discrete Dynamical Systems [PDF]
We extend and improve the existing characterization of the dynamics of general quadratic real polynomial maps with coefficients that depend on a single parameterλand generalize this characterization to cubic real polynomial maps, in a consistent theory that is further generalized to realmth degree real polynomial maps.
Fermín Franco Medrano +1 more
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Matrix-valued Laurent polynomials, parametric linear systems and integrable systems [PDF]
In this paper, we study transfer functions corresponding to parametric linear systems whose coefficients are block matrices. Thus, these transfer functions constitute Laurent polynomials whose coefficients are square matrices. We assume that block matrices defining the parametric linear systems are solutions of an integrable hierarchy called for us ...
López-Reyes, Nancy +2 more
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On some classes of solutions of aerohydromechanic equations
The article gives a review of the method of constructing parametric solutions of polynomial form for systems of partial differential equations and its application to some aerohydromechanic equations.
Yu. A. Kazakova
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APPLICATION OF EVOLUTIONARY POLYNOMIAL REGRESSION IN ULTRAFILTRATION SYSTEMS CONSIDERING THE EFFECT OF DIFFERENT PARAMETERS ON OILY WASTEWATER TREATMENT [PDF]
In the present work, the effects of operating conditions including pH, transmembrane pressure, oil concentration, and temperature on fouling resistance and the rejection of turbidity for a polymeric membrane in an ultrafiltration system of wastewater ...
Amin Reyhani +3 more
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Solving parametric polynomial systems
The authors present a new algorithm for solving constructible or semi-algebraic systems in the indeterminates \([U,X]\) where \(U=[U_1,\dots ,U_d]\) is the set of parameters and \(X=[X_{d+1},\dots,X_n]\) the set of unknowns. To this end, they study the characterization of open subsets in the parameter space over which the number of solutions is ...
Lazard, Daniel, Rouillier, Fabrice
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Frequency domain criteria for lp-robust stability of systems with fuzzy parameters [PDF]
The paper deals with the problem of determining stability margin of linear continuous-time system with fuzzy parametric uncertainty. Non-symmetric multivariate membership functions with lp -constraints describing the uncertainty of characteristic ...
Lan, L. H., Zhang, H.
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Defocus impact analysis on telescope wavefront reconstruction by scattering spot with parametric optimization technique [PDF]
Subject of Research. Wavefront reconstruction by the known scattering spot intensity with parametric optimization is presented. The Zernike polynomial coefficients of the wave function expansion as optimization parameters are used.
Tatiana V. Ivanova +3 more
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Solving parametric piecewise polynomial systems
This paper establishes the basic theory on piecewise polynomial functions that are \(C^r\) with different smoothness degree \(r\) over the whole domain, and presents the theory and methods for solving zero-dimensional parametric piecewise polynomial systems. It shows that solving such a system amounts to solving \(m\) parametric semi-algebraic systems,
Lai, Yisheng, Wang, Renhong, Wu, Jinming
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Computer studies of polynomial solutions for gyrostat dynamics [PDF]
We study polynomial solutions of gyrostat motion equations under potential and gyroscopic forces applied and of gyrostat motion equations in magnetic field taking into account Barnett-London effect.
Alexander Vasilievich Zyza
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