Results 61 to 70 of about 2,446 (245)
Some Remarks Concerning the General Octic Functional Equation
Journal of Mathematics, 2023 In this article, we study the stability of various forms for the general octic functional equation ∑i=099Ci−19−ifx+iy=0. We first find a special way of representing a given mapping as the sum of eight mappings.
Yang-Hi Lee, Jaiok Roh
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Hyperstability of general linear functional equation [PDF]
Aequationes mathematicae, 2016 Our purpose is to investigate criteria for hyperstability of linear type functional equations. We prove that a function satisfying the equation approximately in some sense, must be a solution of it. We give some conditions on coefficients of the functional equation and a control function which guarantee hyperstability.
Jolanta Olko +2 more
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IET Electric Power Applications, Volume 19, Issue 1, January/December 2025.This paper introduces a Hyperstable Model Reference Adaptive Controller (H‐MRAC) for induction motor drives, leveraging hyper‐stability principles, Popov's stability criterion, and Landau's propositions for robust adaptation. By explicitly accounting for system nonlinearities, it achieves a stable speed and flux regulation under both internal and ...
Belkacem Bekhiti +3 more
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International Journal of Mathematics and Mathematical Sciences, 2023 In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3 ...
Ravinder Kumar Sharma, Sumit Chandok
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Sliding mode adaptive state observation for time-delay uncertain nonlinear systems [PDF]
, 2008 In this paper a method to design robust adaptive sliding mode observers (ASMO) for a class of nonlinear time- delay systems with uncertainties, is proposed. The objective is to achieve insensitivity and robustness of the proposed sliding mode observer to
Raoufi, R., Zinober, A.S.I.
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Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13499-13509, December 2024.This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays. We obtain two new theorems with regard to HUR stability of the CFrDDE on bounded and unbounded intervals. The method of the proofs is based on the fixed point approach.
Chaimaa Benzarouala, Cemil Tunç
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Characterization and stability analysis of advanced multi-quadratic functional equations
Advances in Difference Equations, 2021 In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable.
Abasalt Bodaghi +2 more
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DC Drive Adaptive Speed Controller Based on Hyperstability Theory
Computation, 2022 The scope of this research is to develop a hyperstable adaptive control system of a direct current (DC) drive speed for effective load torque attenuation.
Anton Glushchenko +2 more
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Hyperstability of cubic functional equation in ultrametric spaces [PDF]
Proyecciones (Antofagasta), 2017 In this paper, we present the hyperstability results of cubic functional equations in ultrametric Banach spaces.
Aribou, Youssef +2 more
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IET Electric Power Applications, Volume 18, Issue 12, Page 1730-1739, December 2024.When using model reference adaptive systems‐based parameter identification methods for sliding mode observer‐based sensorless control of permanent magnet synchronous motor, it is usually need to assumed that the rotor position estimation error is zero, but this error cannot be ignored in reality.
Ruizhi Guan +4 more
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