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Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces [PDF]
Journal of Inequalities and ApplicationsIn this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces.
Abbas Najati +3 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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Some hyperstability and stability results for the Cauchy and Jensen equations
Journal of Inequalities and Applications, 2022 In this paper we give some hyperstability and stability results for the Cauchy and Jensen functional equations on restricted domains. We provide a simple and short proof for Brzdȩk’s result concerning a hyperstability result for the Cauchy equation.
Mohammad Bagher Moghimi, Abbas Najati
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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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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.
Janusz Brzdęk, Krzysztof Ciepliński
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Computation, 2023 This paper investigates the asymptotic hyperstability of a single-input–single-output closed-loop system whose controlled plant is time-invariant and possesses a strongly strictly positive real transfer function that is subject to internal and external ...
Manuel De la Sen
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Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces
Journal of Inequalities and Applications, 2022 The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-type quadratic ...
Arumugam Ponmana Selvan, Abbas Najati
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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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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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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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