Results 1 to 10 of about 133,646 (171)

Generic Regular Decompositions for Parametric Polynomial Systems [PDF]

open access: yesJournal of Systems Science and Complexity, 2013
This paper presents a generalization of our earlier work in [19]. In this paper, the two concepts, generic regular decomposition (GRD) and regular-decomposition-unstable (RDU) variety introduced in [19] for generic zero-dimensional systems, are extended ...
Chen, Zhenghong   +2 more
core   +3 more sources

Global optimal polynomial approximation for parametric problems in power systems [PDF]

open access: yesJournal of Modern Power Systems and Clean Energy, 2019
The influence of parameters on system states for parametric problems in power systems is to be evaluated. These parameters could be renewable generation outputs, load factor, etc.
Yongzhi Zhou   +3 more
doaj   +2 more sources

Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method

open access: yesEnergies, 2022
To better respond to the impact of power system-uncertain parameters on transient stability, a novel model named the parametric transient stability constrained optimal power flow (parametric TSCOPF) is proposed.
Bingqing Xia   +4 more
doaj   +1 more source

Estimation of Critical Collapse Solutions to Black Holes with Nonlinear Statistical Models

open access: yesMathematics, 2022
The self-similar gravitational collapse solutions to the Einstein-axion–dilaton system have already been discovered. Those solutions become invariants after combining the spacetime dilation with the transformations of internal SL(2, R).
Ehsan Hatefi, Armin Hatefi
doaj   +1 more source

Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method

open access: yesJournal of Modern Power Systems and Clean Energy, 2021
In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these ...
Hao Wu   +5 more
doaj   +1 more source

On Solving Parametric Polynomial Systems [PDF]

open access: yesMathematics in Computer Science, 2012
This work intends to cover similar ground and extend the paper [\textit{D. Lazard} and \textit{F. Rouillier}, J. Symb. Comput. 42, No. 6, 636--667 (2007; Zbl 1156.14044)]. Unfortunately the present paper is of questionable quality. The English is at times hard to follow and the paper lacks mathematical substance.
Maza, Marc Moreno   +2 more
openaire   +1 more source

Polynomial superlevel set representation of the multistationarity region of chemical reaction networks

open access: yesBMC Bioinformatics, 2022
In this paper we introduce a new representation for the multistationarity region of a reaction network, using polynomial superlevel sets. The advantages of using this polynomial superlevel set representation over the already existing representations ...
AmirHosein Sadeghimanesh   +1 more
doaj   +1 more source

Spectral Determination of Nonlinear System Parameters [PDF]

open access: yesITM Web of Conferences, 2019
In this paper we propose an identification method of nonlinear system. This later can be structured by Wiener models. The determination of nonlinear system parameters can be done using spectral analysis.
Brouri Adil, Benyassi Mohamed
doaj   +1 more source

Equiareal Parameterization of Triangular Bézier Surfaces

open access: yesMathematics, 2022
Parameterization is the key property of a parametric surface and significantly affects many kinds of applications. To improve the quality of parameterization, equiareal parameterization minimizes the equiareal energy, which is presented as a measure to ...
Jun Chen, Xiang Kong, Huixia Xu
doaj   +1 more source

Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra

open access: yesMathematics, 2020
The max-Łukasiewicz algebra describes fuzzy systems working in discrete time which are based on two binary operations: the maximum and the Łukasiewicz triangular norm.
Martin Gavalec, Zuzana Němcová
doaj   +1 more source

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