Results 1 to 10 of about 1,049 (203)
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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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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Hyperstability of Linear Feed-Forward Time-Invariant Systems Subject to Internal and External Point Delays and Impulsive Nonlinear Time-Varying Feedback Controls [PDF]
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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On the stability of a Cauchy type functional equation
Demonstratio Mathematica, 2018 In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye +3 more
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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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Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
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Representation and Stability of General Nonic Functional Equation
Mathematics, 2023 In this paper, we introduce a way of representing a given mapping as the sum of odd and even mappings. Then, using this representation, we investigate the stability of various forms of the following general nonic functional equation: ∑i=01010Ci(−1)10−if ...
Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh
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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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Stability of a generalization of the Fréchet functional equation
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 We prove some stability and hyperstability results for a generalization of the well known Fréchet functional 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
Renata Malejki
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Adaptive Controller Design for Faulty UAVs via Quantum Information Technology
International Journal of Advanced Robotic Systems, 2012 In this paper, an adaptive controller is designed for a UAV flight control system against faults and parametric uncertainties based on quantum information technology and the Popov hyperstability theory.
Fuyang Chen, Rui Hou, Gang Tao
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