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Hyers-Ulam Stability of Polynomial Equations [PDF]

open access: yesAbstract and Applied Analysis, 2010
We prove the Hyers-Ulam stability of the polynomial equation 𝑎𝑛𝑥𝑛+𝑎𝑛−1𝑥𝑛−1+⋯+𝑎1𝑥+𝑎0=0. We give an affirmative answer to a problem posed by Li and Hua (2009).
M. Bidkham   +2 more
doaj   +4 more sources

stability analysis of fuzzy Polynomial fractional differential Systems using Sum-of-Squares [PDF]

open access: yesمجله مدل سازی در مهندسی, 2022
This paper discusses the stability analysis of fractional-order polynomial systems by using the sum of squares method. furthermore the feasibility of designing the problems demonstrates which can not be represented in LMIs.
hassan yaghoubi, Assef Zare
doaj   +1 more source

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

Polynomial stability of evolution operators in Banach spaces [PDF]

open access: yesOpuscula Mathematica, 2011
The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially.
Megan Mihail   +2 more
doaj   +1 more source

Novel Frequency-Based Approach to Analyze the Stability of Polynomial Fractional Differential Equations

open access: yesAxioms, 2023
This paper proposes a novel approach for analyzing the stability of polynomial fractional-order systems using the frequency-distributed fractional integrator model.
Hassan Yaghoubi   +3 more
doaj   +1 more source

Stability of polytopic polynomial matrices [PDF]

open access: yesProceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
Multivariable version of Edge ...
Wang, Long, Wang, Zhizhen, Yu, Wensheng
openaire   +2 more sources

Stability of Complement Degree Polynomial of Graphs

open access: yesمجلة بغداد للعلوم, 2023
     A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense related. The objects correspond to mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of ...
Safeera K, Anil Kumar V
doaj   +1 more source

Razumikhin Theorems on Polynomial Stability of Neutral Stochastic Pantograph Differential Equations with Markovian Switching

open access: yesMathematics, 2022
This paper investigates the polynomial stability of neutral stochastic pantograph differential equations with Markovian switching (NSPDEsMS). Firstly, under the local Lipschitz condition and a more general nonlinear growth condition, the existence and ...
Zihan Zou, Yinfang Song, Chi Zhao
doaj   +1 more source

Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials

open access: yesIEEE Access, 2020
This article concerns the problem of stability analysis of systems with time-varying delay. Recent developments in this direction involves approximation of a second order polynomial function of time-delay.
Sharat Chandra Mahto   +5 more
doaj   +1 more source

Passive Fuzzy Controller Design for the Parameter-Dependent Polynomial Fuzzy Model

open access: yesMathematics, 2023
This paper discusses a passive control issue for Nonlinear Time-Varying (NTV) systems subject to stability and attenuation performance. Based on the modeling approaches of Takagi-Sugeno (T-S) fuzzy model and Linear Parameter-Varying (LPV) model, a ...
Cheung-Chieh Ku   +3 more
doaj   +1 more source

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