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Event-triggered consensus control with dynamic agents and communication delays in heterogeneous multi-agent systems

Alexandria engineering Journal 2025年 128卷 1-11页

作者： Khan, Asad Javeed, Muhammad Awais Hassan, Waqar Ul Zhong, Yubin Ahmed, Sidra Niazi, Azmat Ullah Khan Metaverse Research Institute School of Computer Science and Cyber Engineering Guangzhou University Guangzhou510006 China School of Transportation Southeast University Nanjing Jiangsu211189 China Department of Mathematics and Statistics The University of Lahore Sargodha40100 Pakistan School of Mathematics and Information Sciences Guangzhou University Guangzhou510006 China Department of Physics The University of Lahore Sargodha40100 Pakistan

This paper investigates the consensus problem in discrete multi-agent systems characterized by both first-order and second-order agent dynamics, addressing the challenges posed by input delays and disturbances. To optimize data exchange and information sharing, an innovative event-triggered control system with communication delays is developed for the consensus control strategy. The materials employed in this study include a diverse set of heterogeneous agents designed to mirror real-world dynamics and delay characteristics. The methods involve the formulation of the consensus condition using Linear Matrix Inequalities (LMIs) and Kronecker product techniques, complemented by Lyapunov functional approaches for rigorous system stability analysis. The uniquely distributed control mechanism relies solely on local neighbor communication, enhancing its practical applicability. The theoretical framework is validated through comprehensive simulations, demonstrating its robustness and effectiveness in achieving consensus among agents under the specified dynamic conditions. © 2025 The Authors

关键词： Lyapunov functions

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A review of the numerical methods for solving the binary Allen–Cahn equation

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Physica A: Statistical Mechanics and its Applications 2025年 670卷

作者： Lee, Hyun Geun Li, Yibao Yang, Junxiang Kwak, Soobin Hwang, Youngjin Ham, Seokjun Kim, Hyundong Jyoti Nam, Yunjae Kim, Junseok Department of Mathematics Dongguk University Seoul04620 Korea Republic of School of Mathematics and Statistics Xi'an Jiaotong University Xi'an710049 China School of Computer Science and Engineering Faculty of Innovation Engineering Macau University of Science and Technology China Department of Mathematics Korea University Seoul02841 Korea Republic of Department of Mathematics and Physics Gangneung-Wonju National University Gangneung25457 Korea Republic of Smart infrastructure Gangneung-Wonju National University Gangneung25457 Korea Republic of The Institute of Basic Science Korea University Seoul02841 Korea Republic of Program in Actuarial Science and Financial Engineering Korea University Seoul02841 Korea Republic of

In this review, we present an overview of numerical methods to solve the binary Allen–Cahn (AC) equation, which is extensively used to model phase separation processes in materials science. It describes the time-dependent evolution of interfaces between two phases and accounts for both local reaction kinetics and diffusion effects. This equation plays a critical role in understanding the behavior of interfaces. The AC equation has various applications across fields such as materials science, physics, and biology, where it helps to analyze and predict phenomena such as phase transitions, grain boundary motion, and pattern formation in complex systems. Its importance lies in its ability to model the dynamics of interfaces and help the study of pattern formation and phase transitions in diverse environments. We discuss various computational methodologies developed for this important mathematical model and describe their strengths, limitations, and applications in diverse scientific domains. © 2025 Elsevier B.V.

关键词： Rate constants

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On the integration of reinforcement learning and simulated annealing for the parallel batch scheduling problem with setups

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European Journal of Operational Research 2025年

作者： Rolim, Gustavo Alencar Tomazella, Caio Paziani Nagano, Marcelo Seido Department of Production Engineering Sao Carlos School of Engineering University of Sao Paulo Sao Carlos Brazil Department of Applied Mathematics and Statistics Institute of Mathematical and Computer Sciences University of Sao Paulo Sao Carlos Brazil Department of Production Engineering Federal University of Sao Carlos Sao Carlos Brazil

Motivated by semiconductor applications, where wafer lots are grouped into families and processed on batch machines, this paper addresses a generalized unrelated parallel-batch scheduling problem. The goal is to minimize total completion time (flow time) while considering family- and machine-dependent setup times. We propose a mixed-integer programming formulation, establish a necessary condition for optimal schedules, and develop a polynomial-time heuristic for batching and sequencing. We also evaluate Q-Learning, a model-free reinforcement learning algorithm, for neighborhood selection within two Simulated Annealing-based metaheuristics: Stochastic Local Search (SLS) and Adaptive Large Neighborhood Search (ALNS). Results show that SLS and ALNS achieve better solutions and faster convergence compared to existing approaches. Finally, we conclude that while Q-Learning has the potential to improve solution quality in certain cases, it also increases the complexity of the algorithms, making them harder to configure and scale. © 2025 Elsevier B.V.

关键词： Simulated annealing

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Novel -conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic model

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Computational Mechanics 2025年 1-23页

作者： Sky, Adam Neunteufel, Michael Lewintan, Peter Gourgiotis, Panos Zilian, Andreas Neff, Patrizio Institute of Computational Engineering and Sciences Department of Engineering Faculty of Science Technology and Medicine University of Luxembourg Esch-sur-Alzette Luxembourg Department of Mathematics and Statistics Portland State University Portland USA Karlsruhe Institute of Technology Karlsruhe Germany Mechanics Division SAMPS National Technical University of Athens Zographou Greece Chair for Nonlinear Analysis and Modelling Faculty of Mathematics Universität Duisburg-Essen Essen Germany

In this work we present a consistent reduction of the relaxed micromorphic model to its corresponding two-dimensional planar model, such that its capacity to capture discontinuous dilatation fields is preserved. As a direct consequence of our approach, new conforming finite elements for $${H}^{\textrm{dev}}(\textrm{Curl}{,A})$$ become necessary. We present two novel $${H}^{\textrm{dev}}(\textrm{Curl}{,A})$$ -conforming finite element spaces, of which one is a macro element based on Clough–Tocher splits, as well as primal and mixed variational formulations of the planar relaxed micromorphic model. Finally, we demonstrate the effectiveness of our approach with two numerical examples.

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Scrutinization of chemical reactions, permeability, and magnetic field of a dissipative flow effects of Silver (Ag) nanoparticles – Water over a moving vertical porous medium

Nano Trends

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Nano Trends 2025年 9卷

作者： Lutera, Joseph N. Shekar, MN Raja Goud, B Shankar Department of Mathematics JNTUH University College of Engineering Science and Technology Hyderabad Kukatpally Telangana Hyderabad 50085 India Department of Mathematics and Statistics (CoSTE) Mbeya University of Science and Technology P.O. Box 131 Mbeya Tanzania

Incompressible nanofluid flow applications have recently drawn significant attention among scientists and engineers. The dimensionless leading comparisons of this study are analytically executed using the Laplace transformation technique and graphically analyzed through the MATLAB software tool. The silver nanoparticles-water thermophysical properties framed this exploration setting. This study finds that magnetic activity slows down the speed of the nanofluid flow. The solutes are consumed during the chemical reaction process, declining the concentration of species. The augmentation in solid volume fraction sinks the velocity and upsurges the nanofluid's flow temperature. The permeability and thermal radiation constraints enhance the skin friction coefficient. These results provide valuable insights into designing and controlling mass and heat transmission in nanofluid-based schemes, such as creating heat exchangers, cooling schemes, electrochemical systems, and filtration processes in industries. It is also applicable in the health sector, for instance, by using a magnetic field to control the targeted area for drug injection in the human body. © 2025 The Author(s)

关键词： Chemical reactions Dissipative flow Magnetic field Nanofluids Nanoparticles Porous medium

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Travel-Tourism-Related Advanced TOPSIS MCGDM Model in Spherical Linguistic Environment

Journal of Uncertain Systems

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Journal of Uncertain Systems 2025年第1期18卷

作者： Chakraborty, Avishek Haque, Tipu Sultan Alam, Shariful Department of Engineering Science Academy of Technology Adisaptagram Hooghly 712502 India Department of Mathematics and Statistics Vignan's Foundation for Science Technology and Research Andhra Pradesh Guntur Vadlamudi 522213 India Department of Mathematics Indian Institute of Engineering Science and Technology Shibpur Howrah 711103 India

The main objective of this paper is to introduce the novel concept of spherical linguistic fuzzy number. The spherical linguistic fuzzy number contains linguistic term, positive, neutral and negative membership degrees with the conditions that the square sum of its membership degrees is less than or equal to 1. Then, we discuss some basic operational rules of SLFNs and define a generalized distance measure between two SLFNs. Here, we define two newly aggregation operators, namely, SLFNWA operator and SLFNWG operator. Furthermore, we demonstrate an MCGDM technique using the defined aggregation operator, which has been applied to solve a real-life numerical problem. Finally, rigorous sensitivity analysis and comparative study are given to check the effectiveness, utility and rationality of the proposed operational law and multi-criteria group decision-making technique. © 2024 World Scientific Publishing Company.

关键词： MCGDM Spherical linguistic TOPSIS

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Josephson-Anderson relation as diagnostic of turbulent drag reduction by polymers

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Physical Review E 2025年第1期111卷 015105-015105页

作者： Samvit Kumar Simon Toedtli Tamer A. Zaki Gregory L. Eyink Department of Applied Mathematics & Statistics Johns Hopkins University Baltimore Maryland 21218 USA Department of Mechanical Engineering Johns Hopkins University Baltimore Maryland 21218 USA Department of Physics & Astronomy The Johns Hopkins University Baltimore Maryland 21218 USA

The detailed Josephson-Anderson relation, which equates instantaneously the volume-integrated vorticity flux and the work by pressure drop, has been the key to drag reduction in superconductors and superfluids. We employ a classical version of this relation to investigate the dynamics of polymer drag-reduced channel flows, particularly in the high-extent drag reduction (HDR) regime which is known to exhibit strong space-time intermittency. We show that high drag is not created instantaneously by near-wall coherent vortex structures as assumed in prior works. These predominantly spanwise near-wall vortex structures can produce a net “up-gradient” flux of vorticity toward the wall, which instead reduces instantaneous drag. Increase of wall vorticity and skin friction due to this up-gradient flux occurs after an apparent lag of several advection times, increasing with the Weissenberg number. This increasing lag appears to be due to polymer damping of up-gradient nonlinear vorticity transport that arises from large-scale eddies in the logarithmic layer. The relatively greater polymer damping of down-gradient transport due to small-scale eddies results in lower net vorticity flux and hence lower drag. The Josephson-Anderson relation thus provides an exact tool to diagnose the mechanism of polymer drag reduction in terms of vorticity dynamics and it explains also prior puzzling observations on transient drag reduction, as for centerline-release experiments in pipe flow.

关键词： Vorticity

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Space-harmonic approach to graded temporal metamaterials

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Optical Materials Express 2025年第6期15卷 1318-1329页

作者： Mariana Dalarsson Balwan Rana Victor Pacheco-Peña Department of Electrical Engineering School of Electrical Engineering and Computer Science KTH Royal Institute of Technology 100 44 Stockholm Sweden School of Mathematics Statistics and Physics Newcastle University Newcastle upon Tyne NE1 7RU United Kingdom

Metamaterials are mostly studied using the time-harmonic approach, where the wave propagation is spatially described. Recently, studies of media having electromagnetic properties that change in time have been given the attention of the scientific community, aiming to describe wave-matter interaction in both space and time. In the present paper, we use the space-harmonic method for the general description of wave propagation in time. Such a method can be used to effectively describe a "temporal multilayered" (or temporal multi-stepped) metamaterial by alternating the effective material parameters of the medium in time between two values. We obtain the exact analytical solution for the fields in two examples of temporally periodic metamaterials. Numerical simulations for the impedance-matched scenario are also carried out, showing an excellent agreement when compared to the exact analytical field. Our results also demonstrate the duality between the descriptions of the temporally periodic metamaterial and its spatial counterpart, spatially periodic *** by Optica Publishing Group under the terms of the Creative Commons Attribution 4.0 License . Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

关键词： Effective medium theory Material properties Multilayers Numerical simulation Phase conjugation Wave propagation

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Electro-Osmotic Peristaltic Streaming of a Fractional Second-Grade Viscoelastic Nanofluid with Single and Multi-Walled Carbon Nanotubes in a Ciliated Tube

SSRN

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SSRN 2025年

作者： Channakote, Mahadev M. Marudappa, Shekar Bég, O. Anwar Narayana, Mahesha Siddabasappa, C. Department of Mathematics and Statistics M. S. Ramaiah University of Applied Science Karnataka Bengaluru560054 India Department of Mathematics B. M. S. College of Engineering Bengaluru India Multi-Physical Engineering Sciences Group Mechanical Engineering Department Corrosion/Coating Lab. University of Salford 3-08 SEE Building ManchesterM54WT United Kingdom Department of Mathematics The University of the West Indies Mona Campus Kingston Jamaica Bengaluru India

Mathematical modelling of carbon nanotubes (CNTs) in biological fluids is crucial for advancing medical applications. Electro-osmotic-driven peristaltic transport, influenced by ciliary motion, plays a significant role in understanding biological flows, including drug delivery, targeted therapy, and biosensing. This study integrates single-walled carbon nanotubes (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) with electro-osmotic, heat, and thermal radiation effects in cilia-driven flow. A nanofluid composed of carbon nanotubes suspended in a base fluid is considered. The problem is simplified using the assumptions of long wavelength and low Reynolds number. Caputo's fractional model and Debye-Hückel linearization are employed to analyse the effects of electro-osmosis, natural convection, and heat generation, with lubrication theory providing further simplification. Analytical solutions are derived for key parameters, including electrical potential, axial velocity, temperature, flow rate, and pressure. Axial velocity in the duct's core decreases with a negative Helmholtz-Smoluchowski parameter UUℎs)but increases in the peripheral zones. The reverse occurs with a positive Uℎs. Longer cilia Uβ) and higher electro-osmotic parameter Um) slow core flow and speed up peripheral flow. Higher thermal source UB), thermal Grashof number UGr), and nanotube volume fraction U) boost central axial velocity. Multi-walled CNTs (MWCNTs) yield slightly higher axial velocities than single-walled CNTs (SWCNTs). Temperature rises with UB) but drops with , with MWCNTs reaching higher temperatures. The findings underscore the potential of electro-osmotic peristalsis to enhance fluid transport in confined geometries, offering promising applications in bio-inspired nanofluid propulsion systems and medical micro-pumping technologies. © 2025, The Authors. All rights reserved.

关键词： Reynolds number

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Fully Adaptive Zeroth-Order Method for Minimizing Functions with Compressible Gradients

arXiv

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arXiv 2025年

作者： Grapiglia, Geovani Nunes McKenzie, Daniel Department of Mathematical Engineering ICTEAM Institute Université catholique de Louvain Louvain-la-NeuveB-1348 Belgium Colorado School of Mines Applied Mathematics and Statistics Department Colorado United States

We propose an adaptive zeroth-order method for minimizing differentiable functions with L-Lipschitz continuous gradients. The method is designed to take advantage of the eventual compressibility of the gradient of the objective function, but it does not require knowledge of the approximate sparsity level s or the Lipschitz constant L of the gradient. We show that the new method performs no more than O (n2ϵ−2) function evaluations to find an ϵ-approximate stationary point of an objective function with n variables. Assuming additionally that the gradients of the objective function are compressible, we obtain an improved complexity bound of O (s log (n) ϵ−2) function evaluations, which holds with high probability. Preliminary numerical results illustrate the efficiency of the proposed method and demonstrate that it can significantly outperform its non-adaptive counterpart. Accompanying code can be found at https://***/mines-opt-ml/ZORO-FA. © 2025, CC BY.

关键词： Function evaluation

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