检索结果-内蒙古大学图书馆

IEEE Conference on Decision and Control

作者： Shaojun Ma Mengxue Hou Xiaojing Ye Haomin Zhou School of Mathematics Georgia Tech Atlanta GA USA Department of Electrical Engineering University of Notre Dame South Bend IN USA Department of Mathematics and Statistics Georgia State University Atlanta GA USA

We present a novel computational framework for density control in high-dimensional state spaces. The considered dynamical system consists of a large number of indistinguishable agents whose behaviors can be collectively modeled as a time-evolving probability distribution. The goal is to steer the agents without collision from an initial distribution to reach (or approximate) a given target distribution within a fixed time horizon at minimum cost. To tackle this problem, we propose to model the drift as a nonlinear reduced-order model, such as a deep network, and enforce the matching to the target distribution at terminal time either strictly or approximately using the Wasserstein metric. The resulting saddle-point problem can be solved by an effective numerical algorithm that leverages the excellent representation power of deep networks and fast automatic differentiation for this challenging high-dimensional control problem. A variety of numerical experiments were conducted to demonstrate the performance of our method.

关键词：

来源：评论

学校读者我要写书评

暂无评论

Adoption of Smart Manufacturing Technologies in Small and Medium Enterprises Using Picture Fuzzy Combinative Distance-Based Assessment Model

引用

Journal of the Knowledge Economy 2025年 1-41页

作者： Rani, Pratibha Mishra, Arunodaya Raj Alshamrani, Ahmad M. Alrasheedi, Adel Fahad Pamucar, Dragan Saveetha School of Engineering Saveetha Institute of Medical and Technical Sciences (SIMATS) Chennai India Department of Mathematics Government College Raigaon Satna India Department of Statistics and Operations Research College of Science King Saud University Riyadh Saudi Arabia Department of Operations Research and Statistics Faculty of Organizational Sciences University of Belgrade Belgrade Serbia Department of Applied Mathematical Science College of Science and Technology Korea University Sejong Republic of Korea Department of Mechanics and Mathematics Western Caspian University Baku Azerbaijan

Smart manufacturing is a holistic strategy for product optimization in manufacturing with minimum costs and improved operational efficiency. However, the implementation of smart manufacturing technologies in small and medium enterprises (SMEs) is limited due to a lack of awareness and understanding of their potential benefits. The manuscript aims to propose a hybrid picture fuzzy information (PFI)-based decision support tool and its application in dealing with the smart manufacturing technologies assessment problem for SMEs. The proposed method firstly computes the decision experts’ weights using a picture fuzzy distance measure and rank sum model. In the following, a modified distance measure is introduced for PFI and presents its effectiveness over the existing ones. Next, the individual experts’ views are combined into group decisions using picture fuzzy Sugeno-Weber-weighted geometric (PFSWWG) operators. To this aim, new PFSWWG operators are developed for PFI with their desirable characteristics. Further, a collective weighting procedure is developed by combining the objective weight with the symmetry point of criteria (SPC) model and subjective weight via the picture fuzzy ranking comparison (RANCOM) method. Based on these procedures, we present a hybrid combinative distance-based assessment (CODAS) approach for solving multi-criteria group decision-making (MCGDM) problems with PFI. Moreover, the CODAS model is executed as a case study of smart manufacturing technologies evaluation problems for SMEs, which exemplifies its practicality and feasibility. Sensitivity assessment is accomplished to test the steadiness and reliability of the attained outcomes. Lastly, the comparison is made to validate the robustness and effectiveness of the proposed methodology. The findings show that the presented methodology can offer a practical way to solve smart manufacturing selection problems with uncertain data.

关键词：

来源：评论

学校读者我要写书评

暂无评论

Solving Ordinary Differential Equations of First and Second Order Using a Single Numerical Algorithm with Four Equidistant Points

Solving Ordinary Differential Equations of First and Second ...

引用

Science, engineering and Business for Sustainable Development Goals (SEB-SDG), International Conference on

作者： Bankola Gbenga Ogunware Ezekiel Olaoluwa Omole Adefunke Bosede Familua Peter Onu Ridwanulahi Iyanda Abdlganiy Femi Emmanuel Amoyedo Kehinde Peter Ajewole Patrick Moses Edoma Department of Mathematics and Statistics Joseph Ayo Babalola University Ikeji - Arakeji Nigeria Department of Physical Sciences Mathematics Programme Landmark University Omu-Aran Nigeria Department of Mathematics First Technical University Ibadan Oyo State Nigeria Department of Mechanical Engineering (Mechatronics) Landmark University Omu-Aran Nigeria Distant Learning Institute University of Lagos Lagos State Nigeria Department of Statistics Federal University of Technology Akure Ondo State Nigeria

ISBN: (数字)9798350358155

ISBN: (纸本)9798350358162

This paper investigates a distinct numerical algorithm for the solution of first and second orders initial value problems. The new method was developed using interpolation and collocation approach, with power series approximate solution used as interpolating polynomials. The numerical integrators of the block were obtained by evaluating the non-interpolation points within the chosen integration interval. To assess the efficiency of the proposed block method, it was tested on some first and second orders ordinary differential equations with initial value problems, and the results produced outperformed existing methods in terms of accuracy.

关键词： Interpolation Accuracy Ordinary differential equations Approximation algorithms Polynomials Sustainable development Business

来源：评论

学校读者我要写书评

暂无评论

Convergence of Graph Neural Networks on Relatively Sparse Graphs

Convergence of Graph Neural Networks on Relatively Sparse Gr...

引用

Asilomar Conference on Signals, Systems & Computers

作者： Zhiyang Wang Luana Ruiz Alejandro Ribeiro Department of Electrical and Systems Engineering University of Pennsylvania PA USA Department of Applied Mathematics and Statistics Johns Hopkins University MD USA

In this paper we study the connection between graph filters, graph neural networks (GNNs) and manifold filters, manifold neural networks (MNNs), Specifically, we consider the case when we have access to a set of uniformly sampled points from the manifold based on which we construct a relatively sparse graph to approximate the manifold, which is a suitable model for many real world applications. We prove a non-asymptotic approximation error bound or convergence rate for the graph filters and the GNNs on the relatively sparse graphs to the filters and neural networks on the manifold that the graphs are sampled from. An interesting trade-off between the convergence and the discriminability of the graph filters can be observed from the non-asymptotic error bound which indicates that graph filters cannot give good convergence and discriminability at the same time. While the nonlinearity function in GNNs can alleviate this trade-off and allows the GNNs to both converge to the MNNs and discriminate well. Equipped with this non-asymptotic error bound, we further interpret the transferability property of GNNs when the graphs are sampled from a common manifold. We verify our conclusions with a point-cloud classification problem.

关键词：

来源：评论

学校读者我要写书评

暂无评论

MoS Modified Screen Printed Carbon Electrode Based Flexible Electrochemical Sensor for Detection of Copper Ions in Water

引用

IEEE Sensors Journal 2023年第8期23卷 8146-8153页

作者： Neethipathi, Deepan Kumar Beniwal, Ajay Bass, Adrian M. Scott, Marian Dahiya, Ravinder University of Glasgow School of Engineering GlasgowG12 8QQ United Kingdom University of Glasgow School of Geography and Earth Science GlasgowG12 8QQ United Kingdom University of Glasgow School of Mathematics and Statistics GlasgowG12 8QQ United Kingdom Group Electrical and Computer Engineering Department BostonMA02115 United States

Heavy metal ions (HMI), such as Cu $^{{2}+}$ , are harmful to the environment and our health. Such ions are typically measured using glassy carbon electrode (GCE)-based electrochemical sensors developed on rigid substrates. However, several emerging applications require such sensors on flexible, and even disposable, substrates. Herein, we present a molybdenum disulfide (MoS2)-modified screen-printed carbon electrode (SPCE)-based flexible electrochemical sensor for the detection of copper ions in the water. The sensor exhibits excellent response with a limit of detection (LOD) of $5.43 \mu \text{M}$ for Cu ions in the range of $5 \mu \text{M}$ - 5 mM. The developed sensor is compared with MoS2-modified conventional GCE using electrochemical impedance spectroscopy (EIS). The comparative studies show better linearity ( ${R}^{{2}}$ value $\sim $ 0.99) for SPCE-based sensor and underline how easily they can detect Cu ions. The interference study, i.e., detection of copper ions in the presence of other HMI-based analytes, also shows the excellent response of SPCE-based flexible electrochemical sensor - thus, demonstrating their practical application is the detection of Cu in water. © 2001-2012 IEEE.

关键词： Carbon

来源：评论

学校读者我要写书评

暂无评论

The origin of vorticity in viscous incompressible flows

arXiv

引用

arXiv 2025年

作者： Xiang, Tianrui Eyink, Gregory L. Zaki, Tamer A. Department of Mechanical Engineering Johns Hopkins University BaltimoreMD21218 United States Department of Applied Mathematics and Statistics Johns Hopkins University BaltimoreMD21218 United States

In inviscid, incompressible flows, the evolution of vorticity is exactly equivalent to that of an infinitesimal material line-element, and hence vorticity can be traced forward or backward in time in a Lagrangian fashion. This elegant and powerful description is not possible in viscous flows due to the action of diffusion. Instead, a stochastic Lagrangian interpretation is required and was recently introduced, where the origin of vorticity at a point is traced back in time as an expectation over the contribution from stochastic trajectories. We herein introduce for the first time an Eulerian, adjoint-based approach to quantify the back-in-time origin of vorticity in viscous, incompressible flows. The adjoint variable encodes the advection, tilting and stretching of the earlier-in-time vorticity that ultimately leads to the target value. Precisely, the adjoint vorticity is the volume-density of the mean Lagrangian deformation of the earlier vorticity. The formulation can also account for the injection of vorticity into the domain at solid boundaries. We demonstrate the mathematical equivalence of the adjoint approach and the stochastic Lagrangian approach. We then provide an example from turbulent channel flow, where we analyze the origin of high-stress events and relate them to Lighthill’s mechanism of stretching of near-wall vorticity. © 2025, CC BY.

关键词： Stochastic systems

来源：评论

学校读者我要写书评

暂无评论

Analysis and Research on Energy Transfer from Wind to Waves Based on the SWAN Model

Analysis and Research on Energy Transfer from Wind to Waves ...

引用

2024 International Conference on New Power System and Power Electronics, NPSPE 2024

作者： Wang, Lei Li, Ying Zhang, Lei Zhang, Feng Zheng, Chongwei Luo, Chenghan Sichuan University of Science & Engineering College of Mathematics and Statistics Yibin China Navigation College of Dalian Maritime University Dalian China People's Liberation Army Unit 91001 Beijing China Minjiang University College of Physics & Electronic Information Engineering Fuzhou China Chinese People's Liberation Army Dalian Naval Academy Department of Navigation Dalian China

ISBN: (纸本)9798350389869

The mechanisms of energy transfer, storage, and dissipation at the ocean-atmosphere interface are crucial scientific issues in physical oceanography. In this paper, ten numerical experiments are systematically designed based on the SWAN ocean model to investigate the wind-to-wave energy transfer under constant wind field. The SWAN model employs its default wind stress drag coefficient to furnish the sea surface wind field across varying wind speeds, constructing a theoretically infinite-width and infinite-depth model, featuring free inflow and outflow boundaries for current and waves. In the numerical experiments, after the model reaches stability, wave energy experiences a rapid growth phase at wind speeds of 5-30 m/s. At around 10 m/s, corresponding to the wind speeds of monsoons and cold surges, the energy of the water column waves per unit area reaches 4.59x103 J (joules). At wind speeds of 3050 m/s, corresponding to typhoon-level wind speeds, the wave energy growth trend slows down. Finally, a parameterization scheme for the flux (WA) of atmospheric kinetic energy entering waves with respect to wind speed (U) under constant wind speeds is presented. This research has a substantial influence on atmospheric and oceanic circulation, and it is crucial for precise computation and practical prediction in numerical models. © 2024 IEEE.

关键词： Kinetic energy

来源：评论

学校读者我要写书评

暂无评论

Deep reinforcement learning for the dynamic vehicle dispatching problem: An event-based approach

arXiv

引用

arXiv 2023年

作者： Cordeiro, Edyvalberty Alenquer Pitombeira-Neto, Anselmo R. Department of Applied Mathematics and Statistics Federal University of Ceará Fortaleza Brazil Department of Industrial Engineering Federal University of Ceará Fortaleza Brazil

The dynamic vehicle dispatching problem corresponds to deciding which vehicles to assign to requests that arise stochastically over time and space. It emerges in diverse areas, such as in the assignment of trucks to loads to be transported;in emergency systems;and in ride-hailing services. In this paper, we model the problem as a semi-Markov decision process, which allows us to treat time as continuous. In this setting, decision epochs coincide with discrete events whose time intervals are random. We argue that an event-based approach substantially reduces the combinatorial complexity of the decision space and overcomes other limitations of discrete-time models often proposed in the literature. In order to test our approach, we develop a new discrete-event simulator and use double deep q-learning to train our decision agents. Numerical experiments are carried out in realistic scenarios using data from New York City. We compare the policies obtained through our approach with heuristic policies often used in practice. Results show that our policies exhibit better average waiting times, cancellation rates and total service times, with reduction in average waiting times of up to 50% relative to the other tested heuristic policies. Copyright © 2023, The Authors. All rights reserved.

关键词： Reinforcement learning

来源：评论

学校读者我要写书评

暂无评论

A Guaranteed Cost Approach to Dynamic Output Feedback Control for Neutral-Type Markovian Jumping Stochastic Systems

引用

Journal of Systems Science & Complexity 2021年第4期34卷 1487-1500页

作者： LI Yanbo KAO Binghua XIE Jing KAO Yonggui School of Information and Statistics Guangxi University of Finance and EconomicsNanning 530003China Department of Mathematics Harbin Institute of Technology(Weihai)Weihai 264209China School of Information and Control Engineering Qingdao University of TechnologyQingdao 266520China

This paper is devoted to investigating the dynamic output feedback(DOF)control problem of Markovian jump neutral-type stochastic systems with a guaranteed cost *** of the state and measurement equations contain time ***-dependent DOF controllers are first designed such that the closed-loop system is asymptotically stable in mean-square and an adequate performance level of this system is ***,sufficient conditions for the solvability of this problem are derived in the form of linear matrix inequalities(LMIs).A numerical example is presented to reveal the effectiveness of our findings.

关键词： Guaranteed cost control linear matrix inequality Markovian jump neutral stochastic systems output feedback control time delay

来源：评论

学校读者我要写书评

暂无评论

Integrable Fractional Modified Korteweg-de Vries, Sine-Gordon, and Sinh-Gordon Equations

arXiv

引用

arXiv 2022年

作者： Ablowitz, Mark J. Been, Joel B. Carr, Lincoln D. Department of Applied Mathematics University of Colorado BoulderCO United States Department of Applied Mathematics and Statistics Department of Physics Colorado School of Mines GoldenCO United States Quantum Engineering Program Department of Applied Mathematics and Statistics Department of Physics Colorado School of Mines GoldenCO United States

The inverse scattering transform allows explicit construction of solutions to many physically significant nonlinear wave equations. Notably, this method can be extended to fractional nonlinear evolution equations characterized by anomalous dispersion using completeness of suitable eigenfunctions of the associated linear scattering problem. In anomalous diffusion, the mean squared displacement is proportional to tα, α > 0, while in anomalous dispersion, the speed of localized waves is proportional to Aα, where A is the amplitude of the wave. Fractional extensions of the modified Korteweg-deVries (mKdV), sine-Gordon (sineG) and sinh-Gordon (sinhG) and associated hierarchies are obtained. Using symmetries present in the linear scattering problem, these equations can be connected with a scalar family of nonlinear evolution equations of which fractional mKdV (fmKdV), fractional sineG (fsineG), and fractional sinhG (fsinhG) are special cases. Completeness of solutions to the scalar problem is obtained and, from this, the nonlinear evolution equation is characterized in terms of a spectral expansion. In particular, fmKdV, fsineG, and fsinhG are explicitly written. One-soliton solutions are derived for fmKdV and fsineG using the inverse scattering transform and these solitons are shown to exhibit anomalous dispersion. © 2022, CC BY.

关键词： Dispersion (waves)

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：