Results 21 to 30 of about 2,551,252 (290)

Lyapunov stability analysis of higher-order 2D systems

open access: yes, 2010
We prove a necessary and sufficient condition for the asymptotic stability of a 2D system described by a system of higher-order linear partial difference equations.
Paolo Rapisarda   +8 more
core   +2 more sources

SIMPLE GROUPS STABILIZING POLYNOMIALS [PDF]

open access: yesForum of Mathematics, Pi, 2015
We study the problem of determining, for a polynomial function$f$on a vector space$V$, the linear transformations$g$of$V$such that$f\circ g=f$. When$f$is invariant under a simple algebraic group$G$acting irreducibly on$V$, we note that the subgroup of$\text{GL}(V)$stabilizing$f$often has identity component$G$, and we give applications realizing various
SKIP GARIBALDI, ROBERT M. GURALNICK
openaire   +4 more sources

On the solution existence and stability of polynomial optimization problems

open access: yes, 2021
International audienceIn this paper, we introduce and investigate a new regularity condition in the asymptotic sense for optimization problems whose objective functions are polynomial. The normalization argument in asymptotic analysis enables us to study
Vu, Trung-Hieu
core   +1 more source

MAXIMIZING THE ROBUST STABILITY DEGREE OF SYSTEM WITH INTERVAL CHARACTERISTIC POLYNOMIAL

open access: yesИзвестия Томского политехнического университета: Промышленная кибернетика, 2023
The article considers the use of critical root diagrams for the synthesis of a one-parameter robust controller that provides the maximum stability degree in a third-order system with interval parameters.
Alexander V. Sobol   +1 more
doaj   +1 more source

Polynomial Preconditioned Arnoldi with Stability Control

open access: yesSIAM Journal on Scientific Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mark Embree   +2 more
openaire   +3 more sources

On The Stability of Polynomial Spectral Graph Filters [PDF]

open access: yesICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020
Spectral graph filters are a key component in state-of-the-art machine learning models used for graph-based learning, such as graph neural networks. For certain tasks stability of the spectral graph filters is important for learning suitable representations.
Kenlay, H, Thanou, D, Dong, X
openaire   +2 more sources

Stability of Real Parametric Polynomial Discrete Dynamical Systems

open access: yesDiscrete Dynamics in Nature and Society, 2015
We extend and improve the existing characterization of the dynamics of general quadratic real polynomial maps with coefficients that depend on a single parameter λ and generalize this characterization to cubic real polynomial maps, in a consistent theory
Fermin Franco-Medrano   +1 more
doaj   +1 more source

The Stability Analysis for a 2 × 2 Conservation Law with PI Controller and PDP Controller

open access: yesJournal of Mathematics, 2023
This article is concerned with the stability analysis of a 2×2 conservation law with PI and PDP boundary feedback control. In the PI controller case, the authors establish a sufficient and necessary stability condition for feedback parameters by Walton ...
Dong-Xia Zhao, Fang-Xia Bao
doaj   +1 more source

Methods and algorithms for determining the main quasi-homogeneous forms of polynomials and power series [PDF]

open access: yesMATEC Web of Conferences, 2022
Methods are proposed that allow one to determine the special forms of polynomials and power series used in solving a number of practical problems. The most important of them are the construction of necessary and sufficient conditions for an extremum for ...
Nefedov Viktor
doaj   +1 more source

Polynomial cubic splines with tension properties [PDF]

open access: yes, 2010
In this paper we present a new class of spline functions with tension properties. These splines are composed by polynomial cubic pieces and therefore are conformal to the standard, NURBS based CAD/CAM ...
Costantini, P.   +2 more
core   +4 more sources

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