Results 11 to 20 of about 462 (161)
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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Hyperstability of Some Functional Equations on Restricted Domain
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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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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Almost Multi-Cubic Mappings and a Fixed Point Application [PDF]
Sahand Communications in Mathematical Analysis, 2020 The aim of this paper is to introduce $n$-variables mappings which are cubic in each variable and to apply a fixed point theorem for the Hyers-Ulam stability of such mapping in non-Archimedean normed spaces.
Nasrin Ebrahimi Hoseinzadeh +2 more
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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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Stability of the Fréchet Equation in Quasi-Banach Spaces
Mathematics, 2020 We investigate the Hyers–Ulam stability of the well-known Fréchet functional equation that comes from a characterization of inner product spaces. We also show its hyperstability on a restricted domain. We work in the framework of quasi-Banach spaces.
Sang Og Kim
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On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces
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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Analyzing hyperstable population models
Demographic Research, 2023 OBJECTIVE: Few methods are available for analyzing populations with changing rates. Here hyperstable models are presented and substantially extended to facilitate such analyses. METHODS: Hyperstable models, where a known birth trajectory yields a consistent set of age-specific birth rates, are set out in both discrete and continuous form.
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