Hyperstability and Superstability [PDF]
Abstract and Applied Analysis, 2013 This is a survey paper concerning the notions of hyperstability and superstability, which are connected to the issue of Ulam’s type stability. We present the recent results on those subjects.
Krzysztof Ciepliński, Janusz Brzdęk
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Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces [PDF]
Journal 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 +6 more sources
Hyperstability of Some Functional Equations on Restricted Domain [PDF]
Journal of Function Spaces, 2017 The paper concerns functions which approximately satisfy, not necessarily on the whole linear space, a generalization of linear functional equation. A Hyers-Ulam stability result is proved and next applied to give conditions implying the hyperstability ...
Anna Bahyrycz, Jolanta Olko
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Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint [PDF]
Abstract and Applied Analysis, 2013 This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the ...
M. De la Sen +2 more
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Enhanced Vigilance Stability during Daytime in Insomnia Disorder [PDF]
Brain Sciences, 2020 Central nervous hyperarousal is as a key component of current pathophysiological concepts of chronic insomnia disorder. However, there are still open questions regarding its exact nature and the mechanisms linking hyperarousal to sleep disturbance. Here,
Ariane Losert +6 more
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Application of hyperstability theory to interference cancelling [PDF]
Proceedings of MELECON '94. Mediterranean Electrotechnical Conference, 1994 An alternative to the usual adaptive noise cancelling method devoted to removing interference is presented. In the conventional methodology to implement adaptive cancellers a reference signal is necessary correlated with the interference.
Bertran Albertí, Eduardo +1 more
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On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces [PDF]
Mathematics, 2020 We present some hyperstability results for the well-known additive Cauchy functional equation f(x+y)=f(x)+f(y) in n-normed spaces, which correspond to several analogous outcomes proved for some other spaces. The main tool is a recent fixed-point theorem.
Janusz Brzdęk, El-sayed El-hady
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Asymptotic Hyperstability and Input–Output Energy Positivity of a Single-Input Single-Output System Which Incorporates a Memoryless Non-Linear Device in the Feed-Forward Loop [PDF]
Mathematics, 2022 This paper visualizes the role of hyperstable controllers in the closed-loop asymptotic stability of a single-input single-output system subject to any nonlinear and eventually time-varying controller within the hyperstable class.
Manuel De la Sen
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Hyperstable alkenes: are they remarkably unreactive? [PDF]
Chem SciMaier and Schleyer first identified in silico that certain cage bicyclic olefins (alkenes) as “hyperstable”, and predicted them to be “remarkably unreactive”. However, this only applies to hydrogenation, as they were observed to undergo oxidation.
Summersgill MD +6 more
europepmc +3 more sources
Hyperstability of a Monomial Functional Equation
Journal of Scientific Research and Reports, 2014 In this paper, we establish some hyperstability results concerning the monomial functional equation n X r=0 ( 1) n r C n rf(rx +y) = n!f(x)
Muaadh Almahalebi +2 more
openalex +4 more sources