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12 results on '"Multi-points"'

1. Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system

Author

Subramanian Muthaiah, Manigandan Murugesan, Muath Awadalla, Bundit Unyong, and Ria H. Egami

Subjects
coupled integrodifferential system, sequential derivatives, hadamard integrals, derivatives, hilfer-hadamard derivatives, multi-points, existence, uniqueness, ulam-hyers stability, Mathematics, QA1-939
Abstract

This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled Hadamard fractional integrodifferential multipoint boundary conditions. The desired conclusions were obtained by using well-known fixed-point theorems. It was emphasized that the fixed-point technique was useful in determining the existence and uniqueness of solutions to boundary value problems. In addition, we examined the solution's Ulam-Hyers stability for the suggested system. The resulting results were further demonstrated and validated using demonstration instances.

Published
2024
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2. Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system.

Author

Muthaiah, Subramanian, Murugesan, Manigandan, Awadalla, Muath, Unyong, Bundit, and Egami, Ria H.

Subjects
BOUNDARY value problems, INTEGRO-differential equations, FRACTIONAL differential equations, NONLINEAR systems
Abstract

This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled Hadamard fractional integrodifferential multipoint boundary conditions. The desired conclusions were obtained by using well-known fixedpoint theorems. It was emphasized that the fixed-point technique was useful in determining the existence and uniqueness of solutions to boundary value problems. In addition, we examined the solution's Ulam-Hyers stability for the suggested system. The resulting results were further demonstrated and validated using demonstration instances. [ABSTRACT FROM AUTHOR]

Published
2024
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3. Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations

Author

Subramanian Muthaiah, Dumitru Baleanu, and Nandha Gopal Thangaraj

Subjects
coupled system, caputo-hadamard derivatives, hadamard integrals, multi-points, Mathematics, QA1-939
Abstract

This paper aims to present the existence, uniqueness, and Hyers-Ulam stability of the coupled system of nonlinear fractional differential equations (FDEs) with multipoint and nonlocal integral boundary conditions. The fractional derivative of the Caputo-Hadamard type is used to formulate the FDEs, and the fractional integrals described in the boundary conditions are due to Hadamard. The consequence of existence is obtained employing the alternative of Leray-Schauder, and Krasnoselskii’s, whereas the uniqueness result, is based on the principle of Banach contraction mapping. We examine the stability of the solutions involved in the Hyers-Ulam type. A few examples are presented as an application to illustrate the main results. Finally, it addresses some variants of the problem.

Published
2021
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4. ENHANCING DIAGNOSTIC CAPABILITY BY UTILIZATION OF TWIN-ENGINE AIRCRAFT CONFIGURATION ASPECTS

Author

Stenfelt, Mikael, Fentaye, Amare Desalegn, Kyprianidis, Konstantinos, Stenfelt, Mikael, Fentaye, Amare Desalegn, and Kyprianidis, Konstantinos

Abstract

Depending on the data available, gas turbine diagnostics may be performed in various ways. For model based diagnostics methods, the most common data to use is from steady state operation. Regarding the amount of data, the smallest dataset comprise of a single operating condition for a specific gas turbine. The other end of the scale considers a fleet of engines, where data can be utilized for cross comparisons and identification of deviations in engine operation. In-between these two extremes, twin-engine airplanes can be utilized to obtain additional diagnostic information. In this paper, a multi-point diagnostic method for a twin-engine airplane is developed and evaluated. It is based on the assumption that one engine can be operated individually for data collection, by varying the bleed flow extraction, while the other engine supply the airplane subsystems with the required bleed flow during the data collection time. The collected data then goes into a multi-point optimization which minimizes the difference between the health parameter estimations. From the health parameters, measurements corresponding to a reference operating condition are obtained and used by a data-driven classifier for fault identification and isolation. The method has proven to be able to detect both single and double component faults with high accuracy for the evaluated dataset.

Published
2024
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5. Dynamic subcarrier allocation for multipoint-to-point optical connectivity

Author

Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors, Universitat Politècnica de Catalunya. GCO - Grup de Comunicacions Òptiques, Shakespear Miles, Hailey Josephine, Ruiz Ramírez, Marc, Napoli, Antonio, Velasco Esteban, Luis Domingo, Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors, Universitat Politècnica de Catalunya. GCO - Grup de Comunicacions Òptiques, Shakespear Miles, Hailey Josephine, Ruiz Ramírez, Marc, Napoli, Antonio, and Velasco Esteban, Luis Domingo

Abstract

A mathematical programming model is proposed to dynamically allocate subcarriers in the upstream direction of point-to-multipoint connections based on Digital Subcarrier Multiplexing. Numerical results show significant capital and energy cost reduction., The research leading to these results has received funding from the H2020 B5G-OPEN (G.A. 101016663), the MICINN IBON (PID2020-114135RB-I00), and the ICREA Institution., Peer Reviewed, Postprint (author's final draft)

Published
2022

6. Dynamic Subcarrier Allocation for Multipoint-to-Point Optical Connectivity

Author

Shakespear Miles, Hailey Josephine, Ruiz Ramírez, Marc, Napoli, Antonio, Velasco Esteban, Luis Domingo, Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors, and Universitat Politècnica de Catalunya. GCO - Grup de Comunicacions Òptiques

Subjects
Mathematical models, Upstream direction, Multiplexatge, Multi-points, Point-to-multipoint connections, Subcarrier multiplexing, Mathematical programming, Models matemàtics, Optoelectronic devices, Dynamic subcarrier allocations, Multiplexing, Cost reduction, Enginyeria de la telecomunicació::Telecomunicació òptica [Àrees temàtiques de la UPC], Photonics, Numerical results, Sub-carriers, Digital subcarrier multiplexing
Abstract

A mathematical programming model is proposed to dynamically allocate subcarriers in the upstream direction of point-to-multipoint connections based on Digital Subcarrier Multiplexing. Numerical results show significant capital and energy cost reduction. The research leading to these results has received funding from the H2020 B5G-OPEN (G.A. 101016663), the MICINN IBON (PID2020-114135RB-I00), and the ICREA Institution.

Published
2022
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7. A Robust Initialization Approach of Multi-Point Synthesis Schemes For Aero-Engine Conceptual Design

Author

Diamantidou, Eirini, Kyprianidis, Konstantinos, Tsirikoglou, Panagiotis, Turbofan, B., Diamantidou, Eirini, Kyprianidis, Konstantinos, Tsirikoglou, Panagiotis, and Turbofan, B.

Abstract

During the last years, the aviation industry has shifted its focus towards increasing the aircraft efficiency. The constant drive to search for more efficient systems has led to the introduction of novel concepts. These concepts expand the design space but, at the same time, bring several challenges to the design process. One of the challenges is to develop a conceptual engine design model that can work effectively and provide consistently accurate solutions, even when there are dramatic changes in design constraints. In this work, a multipoint synthesis approach is developed which considers multiple points during the design phase. By incorporating multiple operating points into the design analysis phase, it is ensured that all performance requirements and design constraints are satisfied. A comparison between the traditional engine design approach and the proposed approach is presented to showcase the advantages of the proposed method. A parametric analysis of a geared turbofan configuration is conducted for both design approaches. Then, the multi-point synthesis approach is employed for the design space exploration of a conventional geared turbofan engine and a parallel-hybrid (or boosted) turbofan engine. To enable these studies, surrogate models are developed which utilize machine learning methods in a database of converged engine designs and can ensure the effective and fast operation of the engine model. It is concluded that this surrogate adapted algorithm improves computational efficiency and can be used to evaluate alternative designs.

Published
2021
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8. High-voltage sensor based on fiber bragg grating in fibers with electrodes

Author

Pereira, Joao, Sartiano, D., Hervás, J., Barrera, D., Madrigal, J., Sales, S., Laurell, F., Tarasenko, O., Margulis, W., Pereira, Joao, Sartiano, D., Hervás, J., Barrera, D., Madrigal, J., Sales, S., Laurell, F., Tarasenko, O., and Margulis, W.

Abstract

This work describes the use of FBGs inscribed in optical fiber with electrodes for voltage sensing. The results show a quadratic voltage dependence. The device can be explored for a multi-point, single-ended voltage sensing device., Part of proceedings: ISBN 978-1-55752-820-9SyskonpostNot duplicate with DiVA 1599992QC 20210308

Published
2020
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9. Positive solutions for multi point impulsive boundary value problems on time scales

Author

İsmail Yaslan

Subjects
Fluid Flow and Transfer Processes, Numerical Analysis, Control and Optimization, Algebra and Number Theory, Functional analysis, Fixed Point Theorems, Multi-points, Impulsive dynamic equations, Positive Solutions, Time measurement, Topology, Fixed point arithmetic, Boundary value problems, Positive solution, Time-scales, Boundary Value Problems, Leray-Schauder fixed point theorem, Second orders, Time Scales, Geometry and Topology, Analysis, Impulsive Dynamic Equations
Abstract

In this paper, we consider nonlinear second-order multi-point impulsive boundary value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions by using the Leray-Schauder fixed point theorem, the Avery-Henderson fixed point theorem and the five functional fixed point theorem, respectively. An example that supports the theoretical results is also provided. © 2019 Journal of Nonlinear Functional Analysis.

Published
2019
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10. Vertical response analysis at multi-points on defective pile in layered soil and its application.

Author

Liu, Xin, El Naggar, M. Hesham, Wang, Kuihua, and Wu, Juntao

Subjects
*DYNAMIC loads, *SOILS, *TEST methods
Abstract

the dynamic response at multi-points on the shaft of a defective pile under low strain loading condition is investigated theoretically. Three-dimensional axisymmetric continuum soil model is established to simulate the layered pile-soil system considering different types of pile defect. Theoretical solutions are deduced by applying the separate variable method and integral transformation technique. A parametric study is conducted to evaluate the characteristics of the incident velocity wave at multi-points along the pile shaft. Application of dynamic response at multi-points along the shaft of a defective pile in novel pile integrity testing method is discussed afterwards. The results obtained facilitate a new approach for pile integrity testing and provide insights on the dynamic load transform mechanism of the pile foundation under vertical dynamic loads. • Dynamic response at multi-points along a defective pile shaft is analyzed. •Incident wave characteristics at multi-points are evaluated. •A new pile integrity testing method is proposed. •Time-depth and peak value-depth relationships can be used for pile integrity test. •Peak value-depth relationship gives insight on the dynamic load transform mechanism of the pile foundation. [ABSTRACT FROM AUTHOR]

Published
2020
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11. Existence of positive solutions for multi-point time scale boundary value problems on infinite intervals

Author

İsmail Yaslan and Mustafa Günendi

Subjects
Control and Optimization, Scale (ratio), Fixed point theorems, Infinite interval, Topology, Positive solution, Time-scales, Boundary value problems, Second orders, Boundary value problem, Multi point, Mathematics, Fluid Flow and Transfer Processes, Numerical Analysis, Algebra and Number Theory, Functional analysis, Fixed point theorem, Multi-points, Mathematical analysis, Time measurement, Time scales, Time-scale boundary, Fixed point arithmetic, Leray-Schauder fixed point theorem, Cones, Geometry and Topology, Analysis, Cone
Abstract

In this paper, we establish the criteria for the existence of at least one and three positive solutions for a nonlinear second order multi-point time scale boundary value problem on infinite interval based on the Leray- Schauder fixed point theorem and the five functional fixed point theorem, respectively. © 2017 Mathematical Research Press. All rights reserved.

Published
2017
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12. Multi-touch gesture interactions and deformable geometry for 3D edition on touch screen

Author

Brouet, Rémi, Intuitive Modeling and Animation for Interactive Graphics & Narrative Environments (IMAGINE), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Laboratoire Jean Kuntzmann (LJK), Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Centre National de la Recherche Scientifique (CNRS)-Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Ingénierie de l’Interaction Homme-Machine (IIHM), Laboratoire d'Informatique de Grenoble (LIG), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF), ERC, Université de Grenoble (France), Renaud Blanch, Marie-Paule Cani, ERC Expressive, European Project: 291184,EC:FP7:ERC,ERC-2011-ADG_20110209,EXPRESSIVE(2012), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK), Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS), and Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)

Subjects
3D edition, Edition 3D, Multi-points, Multi-touch gesture, Interface gestuelle, [INFO.INFO-GR]Computer Science [cs]/Graphics [cs.GR]
Abstract

Despite the advances made in the fields of existing objects capture and of procedural generation, creation of content for virtual worlds can not be perform without human interaction. This thesis suggests to exploit new touch devices ("multi-touch" screens) to obtain an easy, intuitive 2D interaction in order to navigate inside a virtual environment, to manipulate, position and deform 3D objects.First, we study the possibilities and limitations of the hand and finger gestures while interacting on a touch screen in order to discover which gestures are the most adapted to edit 3D scene and environment. In particular, we evaluate the effective number of degrees of freedom of the human hand when constrained on a planar surface. Meanwhile, we develop a new gesture analysis method using phases to identify key motion of the hand and fingers in real time. These results, combined to several specific user-studies, lead to a gestural design pattern which handle not only navigation (camera positioning), but also object positioning, rotation and global scaling. Then, this pattern is extended to complex deformation (such as adding and deleting material, bending or twisting part of objects, using local control). Using these results, we are able to propose and evaluate a 3D world editing interface that handle a naturaltouch interaction, in which mode selection (i.e. navigation, object positioning or object deformation) and task selections is automatically processed by the system, relying on the gesture and the interaction context (without any menu or button). Finally, we extend this interface to integrate more complex deformations, adapting the garment transfer from a character to any other in order to process interactive deformation of the garment while the wearing character is deformed.; Malgré les progrès en capture d’objets réels et en génération procédurale, la création de contenus pour les mondes virtuels ne peut se faire sans interaction humaine. Cette thèse propose d’exploiter les nouvelles technologies tactiles (écrans "multi-touch") pour offrir une interaction 2D simple et intuitive afin de naviguer dans un environnement virtuel, et d’y manipuler, positionner et déformer des objets 3D.En premier lieu, nous étudions les possibilité et les limitations gestuelles de la main et des doigts lors d’une interaction sur écran tactile afin de découvrir quels gestes semblent les plus adaptés à l’édition des environnements et des objets 3D. En particulier, nous évaluons le nombre de degré de liberté efficaces d’une main humaine lorsque son geste est contraint à une surface plane. Nous proposons également une nouvelle méthode d’analyse gestuelle par phases permettant d’identifier en temps réel les mouvements clés de la main et des doigts. Ces résultats, combinés à plusieurs études utilisateur spécifiques, débouchent sur l’identification d’un patron pour les interactions gestuelles de base incluant non seulement navigation (placement de caméra), mais aussi placement, rotation et mise à l’échelle des objets. Ce patron est étendudans un second temps aux déformations complexes (ajout et suppression de matière ainsi que courbure ou torsion des objets, avec contrôle de la localité). Tout ceci nous permet de proposer et d’évaluer une interface d’édition des mondes 3D permettant une interaction tactile naturelle, pour laquelle le choix du mode (navigation, positionnement ou déformation) et des tâches correspondantes est automatiquement géré par le système en fonction du geste et de son contexte (sans menu ni boutons). Enfin, nous étendons cette interface pour y intégrer des déformations plus complexe à travers le transfert de vêtements d’un personnage à un autre, qui est étendu pour permettre la déformation interactive du vêtement lorsque le personnage qui le porte est déformé par interaction tactile.

Published
2015

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