Results 21 to 30 of about 1,049 (203)

About robust hyperstability and dissipativity of linear time-invariant dynamic systems subject to hyperstable controllers and unstructured delayed state and output disturbances

open access: yesCogent Engineering, 2018
This paper considers the robust asymptotic closed-loop hyperstability of a nominal time-invariant plant with an associate strongly positive real transfer function subject to unstructured disturbances in the sate and output.
M. De la Sen
doaj   +2 more sources

Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces.
Anna Bahyrycz   +3 more
doaj   +2 more sources

On the E-Hyperstability of the Inhomogeneous σ-Jensen’s Functional Equation on Semigroups

open access: yesAbstract and Applied Analysis, 2023
In this paper, we study the hyperstability problem for the well-known σ-Jensen’s functional equation fxy+fxσy=2fx for all x,y∈S, where S is a semigroup and σ is an involution of S. We present sufficient conditions on E⊂ℝ+S2 so that the inhomogeneous form
M. Sirouni, S. Kabbaj
doaj   +2 more sources

Hyperstability for a Generalized Class of Pexiderized Functional Equations on Monoids via Páles’ Approach

open access: yesMathematics
In this paper, we deduce some hyperstability results for a generalized class of homogeneous Pexiderized functional equations, expressed as ∑ρ∈Γfxρ.y=ℓf(x)+ℓg(y), x,y∈M, which is inspired by the concept of Ulam stability.
Rashad M. Asharabi, Muaadh Almahalebi
doaj   +2 more sources

Stability of -Jordan Homomorphisms from a Normed Algebra to a Banach Algebra [PDF]

open access: yesAbstract and Applied Analysis, 2013
We establish the hyperstability of -Jordan homomorphisms from a normed algebra to a Banach algebra, and also we show that an -Jordan homomorphism between two commutative Banach algebras is an -ring homomorphism.
Yang-Hi Lee
doaj   +2 more sources

On Some Recent Developments in Ulam's Type Stability [PDF]

open access: yesAbstract and Applied Analysis, 2012
We present a survey of some selected recent developments (results and methods) in the theory of Ulam's type stability. In particular we provide some information on hyperstability and the fixed point methods.
Nicole Brillouët-Belluot   +2 more
doaj   +2 more sources

Boundary-Dependent Sleep-Wake Dysregulation in Idiopathic Hypersomnia. [PDF]

open access: yesAnn Clin Transl Neurol
ABSTRACT Objective Idiopathic hypersomnia (IH) presents with excessive daytime sleepiness (EDS) despite apparently preserved nocturnal sleep, challenging traditional models of hypersomnolence based on sleep loss or fragmentation. We aimed to test the hypothesis that EDS in IH reflects excessive stabilization of the sleep state, consistent with ...
Mombelli S   +13 more
europepmc   +2 more sources

Patient-derived forebrain cortical organoids reveal biphasic tau-MAP6-microtubule axis dysfunction in tauopathy. [PDF]

open access: yesAlzheimers Dement
Abstract INTRODUCTION In frontotemporal dementia (FTD), tau detaches from axonal microtubules and forms pathological aggregates. Rather than stabilizing microtubules, tau promotes labile microtubule domains, redefining its role in neurodegeneration and underscoring the need for human models that capture temporal disease progression.
Sun X   +6 more
europepmc   +2 more sources

In vivo three-dimensional kinematics in unicompartmental knee arthroplasty: A sports activity cluster analysis. [PDF]

open access: yesJ Exp Orthop
Abstract Purpose The specific kinematics relevant to sports activities after unicompartmental knee arthroplasty (UKA) remain unclear. We aimed to clarify the kinematic factors associated with sports activities after UKA. Methods Twenty‐five knees that had undergone UKA were examined fluoroscopically during squatting (weight‐bearing [WB]) and active ...
Kono K   +7 more
europepmc   +2 more sources

Random stability and hyperstability of multi-quadratic mappings [PDF]

open access: yes, 2022
In this paper, we introduce a new quadratic functional equation. In light of this equation, we define the multi-quadratic mappings and reduce the system of n equations defining the multi-quadratic mappings to a single equation.
Park, Choonkil   +5 more
core   +1 more source

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