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Comments on "relaxed Conditions for the Input-to-State Stability of Switched Nonlinear Time-Varying Systems"

IEEE Transactions on Automatic Control 2025年第6期70卷 4233-4236页

作者： Şahan, Gökhan Trenn, Stephan Izmir Institute of Technology Department of Mathematics and Computational Science and Engineering Program Urla Izmir Turkey University of Groningen Bernoulli Institute for Mathematics Computer Science and Artificial Intelligence Groningen9722BA Netherlands

This study addresses the deficiencies in the assumptions of the results in Chen and Yang, 2017 [1] due to the lack of uniformity. We first show the missing hypothesis by presenting a counterexample. Then we prove why they are wrong in that form and show the errors in the proof of the main result of [1]. Next, we compare the assumptions and related results of [1] with similar works in the literature. Lastly, we give suggestions to complement the shortcomings of the hypotheses and thus correct them. © 1963-2012 IEEE.

关键词： Nonlinear simulations

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Semi-analytical finite element method applied for characterizing micropolar fibrous composites

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Applied mathematics and Mechanics(English Edition) 2024年第12期45卷 2147-2164页

作者： J.A.OTERO Y.ESPINOSA-ALMEYDA R.RODRIGUEZ-RAMOS J.MERODIO School of Engineering and Sciences Monterrey Institute of TechnologyEstado de Mexico 52926Mexico Institute of Engineering and Technology Autonomous University of Ciudad JuarezCiudad JuarezChihuahua 32310Mexico Postgraduate Program in Computational Modeling in Science and Technology Federal Fluminense UniversityRıo de Janeiro 27255-125Brazil Faculty of Mathematics and Computer Science University of HavanaLa Habana 10400Cuba Department of Mathematics Applied to ICT School of Informatics Systems EngineeringTechnical University of MadridMadrid 28031Spain

A semi-analytical finite element method(SAFEM),based on the two-scale asymptotic homogenization method(AHM)and the finite element method(FEM),is implemented to obtain the effective properties of two-phase fiber-reinforced composites(FRCs).The fibers are periodically distributed and unidirectionally aligned in a homogeneous *** framework addresses the static linear elastic micropolar problem through partial differential equations,subject to boundary conditions and perfect interface contact *** mathematical formulation of the local problems and the effective coefficients are presented by the *** local problems obtained from the AHM are solved by the FEM,which is denoted as the *** numerical results are provided,and the accuracy of the solutions is analyzed,indicating that the formulas and results obtained with the SAFEM may serve as the reference points for validating the outcomes of experimental and numerical computations.

关键词： semi-analytical approach fiber-reinforced composite(FRC) effective property finite element method(FEM) asymptotic homogenization method(AHM) micropolar elasticity

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Retinal Blood Vessel Tracking and Diameter Estimation via Gaussian Process With Rider Optimization Algorithm

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IEEE Journal of Biomedical and Health Informatics 2024年第3期28卷 1173-1184页

作者： Ahmad, Nehal Lai, Kuan-Ting Tanveer, M. Indian Institute of Technology Indore Simrol Department of Mathematics Indore453552 India National Taipei University of Technology Department of International Program of Electrical Engineering and Computer Science Taipei106 Taiwan National Taipei University of Technology Department of Electronic Engineering Taipei106 Taiwan

Retinal blood vessels structure analysis is an important step in the detection of ocular diseases such as diabetic retinopathy and retinopathy of prematurity. Accurate tracking and estimation of retinal blood vessels in terms of their diameter remains a major challenge in retinal structure analysis. In this research, we develop a rider-based Gaussian approach for accurate tracking and diameter estimation of retinal blood vessels. The diameter and curvature of the blood vessel are assumed as the Gaussian processes. The features are determined for training the Gaussian process using Radon transform. The kernel hyperparameter of Gaussian processes is optimized using Rider Optimization Algorithm for evaluating the direction of the vessel. Multiple Gaussian processes are used for detecting the bifurcations and the difference in the prediction direction is quantified. The performance of the proposed Rider-based Gaussian process is evaluated with mean and standard deviation. Our method achieved high performance with the standard deviation of 0.2499 and mean average of 0.0147, which outperformed the state-of-the-art method by 6.32%. Although the proposed model outperformed the state-of-the-art method in normal blood vessels, in future research, one can include tortuous blood vessels of different retinopathy patients, which would be more challenging due to large angle variations. We used Rider-based Gaussian process for tracking blood vessels to obtain the diameter of retinal blood vessels, and the method performed well on the 'STrutred Analysis of the REtina (STARE) Database' accessed on Oct. 2020 (https://***/~ahoover/stare/). To the best of our knowledge, this experiment is one of the most recent analysis using this type of algorithm. © 2013 IEEE.

关键词： Blood vessels

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Wave energy extraction by an OWC device in the presence of a porous bottom

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Energy Reports 2024年 11卷 5602-5618页

作者： Naik, Nikita Kushwaha, Aman Kumar Behera, Harekrushna Tsai, Chia-Cheng Department of Mathematics SRM Institute of Science and Technology Kattankulathur Chennai603203 India Department of Mathematics Indian Institute of Technology Indore Indore453552 India Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung202301 Taiwan Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung202301 Taiwan

The present study explores the effects of a porous bed on an oscillating water column (OWC) device under the assumptions of the linearized water wave theory and small-amplitude of the surface waves. The velocity potentials in each region have been determined by using the far-field and boundary conditions. To tackle the physical problem, two different mathematical techniques have been employed: the boundary element method (BEM) and the matched eigenfunction expansion method (EEM). The findings of the study are validated by the existing literature. The outcomes of the numerical results and analytical results are in good agreement. It is noted that as the width of the chamber increases, there is an increase in radiation conductance and a decrease in radiation susceptance. The zero efficiencies are observed multiple times as the width of the OWC device increases with respect to the dimensionless wavenumber. Moreover, the study reveals that full efficiency can be obtained by an OWC device over a porous bed for certain wave and structural parameters as obtained in the presence of an impermeable bottom. The proposed model can help to design and develop a successful OWC device. © 2024

关键词： Boundary element method

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A Survey on the Control Lyapunov Function and Control Barrier Function for Nonlinear-Affine Control Systems

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IEEE/CAA Journal of Automatica Sinica 2023年第3期10卷 584-602页

作者： Boqian Li Shiping Wen Zheng Yan Guanghui Wen Tingwen Huang Australian AI Institute Faculty of Engineering and Information TechnologyUniversity of Technology SydneyNSW 2007Australia Department of Systems Science School of MathematicsSoutheast UniversityNanjing 210096China Science Program Texas A&M University at QatarDoha 23874Qatar IEEE

This survey provides a brief overview on the control Lyapunov function(CLF)and control barrier function(CBF)for general nonlinear-affine control *** problem of control is formulated as an optimization problem where the optimal control policy is derived by solving a constrained quadratic programming(QP)*** CLF and CBF respectively characterize the stability objective and the safety objective for the nonlinear control *** objectives imply important properties including controllability,convergence,and robustness of control *** this framework,optimal control corresponds to the minimal solution to a constrained QP *** uncertainties are explicitly considered,the setting of the CLF and CBF is proposed to study the input-to-state stability and input-to-state safety and to analyze the effect of *** recent theoretic progress and novel applications of CLF and CBF are systematically reviewed and discussed in this ***,we provide research directions that are significant for the advance of knowledge in this area.

关键词： Control barrier function(CBF) control Lyapunov function(CLF) nonlinear-affine control systems

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Neutronic and Proliferation Resistance Analysis of Small Modular Pressurized Water Reactor with Various Fuel Types using SRAC 2006 10

Neutronic and Proliferation Resistance Analysis of Small Mod...

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10th Asian Physics Symposium 2023, APS 2023

作者： Amatullah, Amila Permana, Sidik Pramuditya, Syeilendra Master Program in Nuclear Science and Engineering Faculty of Mathematics and Natural Sciences Bandung Institute of Technology Ganesha No. 10 Bandung Indonesia Graduate Program in Nuclear Science and Engineering Faculty of Mathematics and Natural Sciences Bandung Institute of Technology Ganesha No. 10 Bandung Indonesia Graduate Program in Physics Faculty of Mathematics and Natural Sciences Bandung Institute of Technology Ganesha No. 10 Bandung Indonesia

One strategy for emission reduction in Indonesia is the dedieselization program, replacing diesel power plants with renewables. Pressurized Water Reactor (PWR) type Small Modular Reactor (SMR) is also a consideration. This study aims to compare fuel performance in SMRs. Four fuel types with varying fissile and fertile nuclides but equal fissile mass percentages were assessed: U235- U238, U235-Th232, U233-U238, and U233-Th232, using PIJ SRAC 2006 and JENDL 4.0. Parameters include neutron multiplication factor, conversion ratio, and isotope production. Results indicated that U233-U238 has a highest initial neutron multiplication factor, 1.55. Substituting uranium-238 with thorium-232 boosts neutron flux and conversion, reducing nuclear proliferation risk. While initial neutron multiplication may not be highest, thorium-232 can produce uranium-233 with high initial neutron multiplication factor. This research aids fuel selection for Indonesia SMR dedieselization program. © Published under licence by IOP Publishing Ltd.

关键词： Thorium

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The Stable Marriage Problem and Sudoku

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College mathematics Journal 2024年第4期55卷 303-316页

作者： Borodin, Matvey Chen, Eric Duncan, Aidan Khovanova, Tanya Litchev, Boyan Liu, Jiahe Moroz, Veronika Qian, Matthew Raghavan, Rohith Rastogi, Garima Voigt, Michael Moscow State University Russian Federation PRIMES STEP program for middle and high school students affiliated with MIT PRIMES (Program for Research in Mathematics Engineering and Science for High School Students) Massachusetts Institute of Technology United States

Summary: Are you having trouble getting married? These days, there are lots of products on the market for dating, from apps to websites and matchmakers, but we know a simpler way! That’s right—your path to coupled life isn’t through Tinder;it’s through Sudoku! Read our fabulous paper, where we explore the Stable Marriage Problem to help you find happiness and stability in marriage through math. As a bonus, you get two Sudoku puzzles with a new flavor. © 2023 The Author(s). Published with license by Taylor & Francis Group, LLC.

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Evaluated Material Attractiveness of Plutonium Composition from Economic Simplified Boiling Water Reactor (ESBWR) 10

Evaluated Material Attractiveness of Plutonium Composition f...

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10th Asian Physics Symposium 2023, APS 2023

作者： Nasyidiah, Fungky Iqlima Permana, Sidik Pramuditya, Syeilendra Master Program in Nuclear Science and Engineering Faculty of Mathematics and Natural Sciences Institute Technology of Bandung Ganesa 10th Street Bandung40132 Indonesia Department of Nuclear Science and Engineering Faculty of Mathematics and Natural Sciences Institute Technology of Bandung Ganesa 10th Street Bandung40132 Indonesia

The potential for misuse of nuclear fuel has prompted many to make efforts to prevent a country from acquiring nuclear explosive devices (weapons). Weapon utility equated with nuclear material attractiveness when applied to protection and security. Material attractiveness evaluated using an equation first developed by Masaki Saito, namely ATTR. ESBWR is one of the reactors of the BWR reactor type that is still operating. The purpose of this study is to evaluate Material Attractiveness based on the composition of plutonium in the ESBWR reactor, during reactor operation and after reactor operation. The ATTR concept utilizes the plutonium isotope composition to evaluate the material attractiveness aspect. Parameters such as BCM, Rossi-alpha, and neutron prompt life become additional aspects in evaluating material attractiveness. In the research results, the ATTR value decreased from the beginning of reactor operation until the reactor stopped operating. At the beginning of the reactor operation, it was categorizing as a weapon-grade with an ATTR value of 0.19 and when the reactor stopped operating it was categorizing as an unusable grade with an ATTR value of 0.012. At the time of cooling time up to 1x106 (one million) cooling time, the ATTR value increases by 0.019 which was categorizing as an unusable grade. After a cooling time of 1x106 (one million) years up to 1x107 (ten million) years, the ATTR value was 0.001 which categorized as an exempt level. This states that the increasing burnup value will further reduce the ATTR value. Likewise with the Rossi-Alpha and Bare Critical Mass values. Conversely, it will decrease the value of neutron lifetime. The ATTR value after the reactor operates up to one hundred years of cooling time increases and then decreases significantly after 1x106 (one million) years due to the half-life of plutonium isotopes. Likewise, the Rossi-Alpha and Bare critical mass values. However, it is different with the neutron fast lifetime. © Publis

关键词： Boiling water reactors

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Flexural-gravity wave interaction with undulating bottom topography in the presence of uniform current: An asymptotic approach

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Applied Mathematical Modelling 2024年 133卷 41-64页

作者： Barman, Koushik Kanti Chanda, Ayan Tsai, Chia-Cheng Mondal, Sandipan Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung Taiwan Department of Mathematics Birla Institute of Technology Mesra Jharkhand India Department of Ocean Engineering and Naval Architecture Indian Institute of Technology West Bengal Kharagpur India Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung Taiwan Department of Environmental Biology and Fishery Science National Taiwan Ocean University Keelung Taiwan

Using an asymptotic method, this article deals with flexural-gravity wave scattering with undulating bottom topography, including the effect of uniform currents. The interest in this problem lies in developing second-order solutions using the Fourier transform, which minimises the error gap between first and second-order solutions. The present method allows the physical processes involved in the sea-bed topography, uniform current, plate-covered surface, and wave interaction to be studied. Specifically, we observe Bragg resonance between the flexural-gravity waves and the bottom ripples, which are associated with the reflection of incident wave energy. We examine the effects of wave current and emphasise how crucial the asymptotic expansion method is to the emergence of the current response. We demonstrate that bottom topography dominates the effects of Bragg resonance for depth Froude numbers valued at 0.8 or less. Further, most reflected wave components have their frequencies shifted by the current, and wave action conservation causes reflected wave energy to be enhanced for following currents. Using the Joint North Sea Wave Observation Project spectrum and the discrete Fourier transform, the theory derived in the frequency domain is shown in the time domain to analyse wave propagation through the whole system. © 2024

关键词： Time domain analysis

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The effect of Zn2+ ion substitution on nanoparticles of ZnxMn(1-X) Fe2O4 (X = 0.2, 0.4, 0.6, 0.8) towards signal surface plasmon resonance (SPR)

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Materials Research Innovations 2023年第6期27卷 420-428页

作者： Almi Putra, Rachmad Andi Fadlly, Teuku Asmara, Vina Monica, Desy Sartika Hijrahnisa Novia, Wina Yakob, Muhammad Indrayana, Ipt Geubrina Raszky, Rachmita Mujahid Hamdan, Abd Arfi, Febrina Rahwanto, Adi Jalil, Zulkarnain Physics Study Program Faculty of Engineering Universitas Samudra Langsa Indonesia Doctoral Study Program School of Engineering Universitas Syiah Kuala Banda Aceh Indonesia Department of Physics Education Faculty of Teaching and Education Universitas Samudra Langsa Indonesia Physics Study Program Faculty of Natural Science and Engineering Technology Universitas Udayana Denpasar Indonesia Department of Environmental Engineering Faculty of Science and Technology UIN Ar-Raniry Banda Aceh Indonesia Department of Chemistry Faculty of Science and Technology UIN Ar-Raniry Banda Aceh Indonesia Department of Physics Faculty of Mathematics and Natural Sciences Syiah Kuala University Banda Aceh Indonesia

This study examined the effect of Zn2+ ion substitution on ZnxMn(1-x) Fe2O4 nanoparticles (x = 0.2, 0.4, 0.6, 0.8) towards signal Surface Plasmon Resonance (SPR). The co-precipitation method synthesised the nanoparticles at a temperature of 90°C. The X-Ray Diffraction (XRD) results showed a polycrystalline structure with a crystallite size varied from 19.05 nm to 19.77 nm. In addition, as the Zn element increased in the ZnxMn(1-x)Fe2O4 nanoparticles, the degree of crystallinity increased by 21.72%, respectively. The optical properties of the nanoparticles ZnxMn(1-x) Fe2O4 indicate absorbance at wavelengths of 330.36–331.74 nm. The absorbance level increased as the Zn element decreased, resulting a direct optical gap of 3.47 eV and an indirect optical gap of 3.23 eV. The Attenuated Total Reflection (ATR) curve in the SPR biosensor indicated a shift in the reflective angle of the Prism/Au/Air configuration, which is 47.78° on Prisma/Au/nanoparticle of Zn0.8Mn0.2Fe2O4/air by 50.75°, and the prism/Au/nanoparticle of Zn0.2Mn0.8Fe2 O4/air by 51.04°. The substitution of Zn ions in the compound Zn x Mn(1-x)Fe2O4 affects the resulting ATR curve. The shift in the SPR angle is caused by changes in the refractive index in each layer which is influenced by the concentration of each material which has an impact on the absorbance ability and photon reflectance. This research has the potential to continue with the testing of dielectric and magnetic properties, as well as special testing for biological analytes compatible with ZnxMn(1-x)Fe2O4 nanoparticles. © 2023 Informa UK Limited, trading as Taylor & Francis Group.

关键词： Surface plasmon resonance

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