Applied Mathematics and Computation最新文献

{"title":"Reset observer-based containment protocol via event-triggered strategy for multi-agent networks against aperiodic DoS attacks","authors":"Dawei Zhao ,&nbsp;Wenkang Xiang ,&nbsp;Weizhao Song ,&nbsp;Lijuan Xu ,&nbsp;Chuan Chen ,&nbsp;Zhen Wang","doi":"10.1016/j.amc.2025.129415","DOIUrl":"10.1016/j.amc.2025.129415","url":null,"abstract":"<div><div>This article investigates the containment control problem for multi-agent systems (MASs) that are affected by aperiodic denial-of-service attacks using event-triggered strategies (ETSs) in a directed graph. To overcome the limitation of the Luenberger observer, which requires a trade-off between rise time and overshoot, we design a reset observer with improved error convergence performance and more reasonable reset conditions to estimate the states of the MASs. To conserve communication resources, we introduce an ETS into the reset observer-based containment controller. To avoid Zeno behavior, a trigger known as the “Zeno-free trigger” is introduced, which prevents Zeno behavior by setting a fixed triggering interval as the lower bound of the event-triggered interval. Finally, the effectiveness of the designed protocol is demonstrated through a case involving a formation of unmanned air vehicles (UAVs). By comparing the reset observer with the Luenberger observer, the superior performance of the reset observer is demonstrated.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129415"},"PeriodicalIF":3.5,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143705937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Maneuvering control of stochastic nonlinear systems with unknown covariance noise","authors":"Ce Zhang,&nbsp;Likang Feng,&nbsp;Zhaojing Wu","doi":"10.1016/j.amc.2025.129416","DOIUrl":"10.1016/j.amc.2025.129416","url":null,"abstract":"<div><div>The maneuvering problem for nonlinear systems under stochastic disturbances is investigated in this paper. Firstly, the maneuvering control objectives in their stochastic version are described in the sense of moment with tunable design parameters. Then, quartic Lyapunov functions of stabilizing errors are adopted to deal with the unknown covariance noise. Based on the adaptive law and the filter-gradient update law, an adaptive maneuvering controller is designed by the backstepping technique, which makes the closed-loop system is exponentially practically stable in mean square. Furthermore, both the path tracking error and the velocity assignment error converge to neighborhoods of zero, and the radius of these neighborhoods can be adjusted arbitrarily small by tuning independent parameters. Finally, to demonstrate the controller's effectiveness in handling unknown covariance and ensuring the practical stability of the closed-loop system, simulations of the mobile robot system in stochastic environments are conducted with various design parameters and covariance settings.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129416"},"PeriodicalIF":3.5,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An evolutionary game-based vicsek model with a fixed number of neighbors","authors":"Hui Zhao ,&nbsp;Zhenyu Zhang ,&nbsp;Igor Tchappi ,&nbsp;Li Li","doi":"10.1016/j.amc.2025.129403","DOIUrl":"10.1016/j.amc.2025.129403","url":null,"abstract":"<div><div>In the face of collective motion, people often face a binary decision: they may interact with others and pay for communication, or they can choose to go alone and forgo these costs. Evolutionary game theory (EGT) emerges in this setting as a crucial paradigm to address this complex issue. In this study, an EGT-based Vicsek with a fixed number of neighbors is proposed. It assumed that the agent had a limited view and just considered a certain number of neighbors. Agents exhibit varying movement patterns depending on the strategies they choose. Each agent's payoff depends on balancing the benefits of group movement against the communication costs with selected neighbors. Using the Fermi rule, individuals adjust their strategies accordingly. The study indicates that agents achieve the highest levels of cooperation and the fastest convergence times in high-density environments. When density is constant, increasing the number of neighbors enhances the synchronization; when the number of neighbors remains unchanged, a lower density leads to better synchronization. Additionally, the results show that EGT could boost the synchronization and accelerate the convergence of self-propelled agents.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129403"},"PeriodicalIF":3.5,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A co-evolutionary model of information, behavior, and epidemics in multiplex networks: Incorporating subjective and objective factors","authors":"Yue Yu ,&nbsp;Liang'an Huo","doi":"10.1016/j.amc.2025.129406","DOIUrl":"10.1016/j.amc.2025.129406","url":null,"abstract":"<div><div>The dissemination of information and the adoption of immunization behaviors are vital for preventing infection during epidemics. Positive and negative information have different influences on the decision to accept immunization behaviors, and individuals make decisions about whether to accept immunization based on both subjective cognizance and objective environmental factors. A three-layer propagation model is proposed to explore the co-evolutionary dynamics of competitive information, immunization behavior, and epidemics in multiplex networks. We consider the competitive transmission of positive and negative information under the effect of individual cognitive preference and the effect of the subjective cognizance and objective environmental factors. For the objective environmental factors, the Prospect Theory is introduced to describe the risk-related costs. Furthermore, we investigate the local group immunity phenomenon. Utilizing the MMCA (microscopic Markov chain approach) for theoretical analysis, our findings indicate that the dynamics of epidemic transmission can indeed undergo multi-stage phase transitions when there exists a competing propagation of positive and negative information. Improving individual cognitive preference for positive information is essential for making the right judgments when engaging in the immunization game process and reducing the epidemic transmission scale. In addition, individuals are encouraged to reduce the free-rider strategy and adopt immunization behavior timely during epidemic transmission, as this contributes to overall emergency management.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129406"},"PeriodicalIF":3.5,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Reliability evaluation of conditional recursive networks under h-conditional restriction","authors":"Hong Zhang ,&nbsp;Hong Bian ,&nbsp;Jixiang Meng","doi":"10.1016/j.amc.2025.129399","DOIUrl":"10.1016/j.amc.2025.129399","url":null,"abstract":"<div><div>As the number of links and processors in an interconnection network increases, faulty links and processors are constantly emerging. When a network fails, how to evaluate the state of the network and optimize the reliability of the network itself is the focus of attention in recent years. Therefore, the design of network structure and network reliability evaluation are particularly significant. In recent years, connectivity, especially <em>h</em>-conditional restricted connectivity, has been widely discussed by scholars. In this paper, a family of composite network is constructed on the basis of complete graph <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>l</mi></mrow></msub></math></span> (<span><math><mi>l</mi><mo>≥</mo><mn>3</mn></math></span> is an odd integer), named conditional recursive networks (simply called CRNs). It contains the common network alternating group network (<span><math><mi>A</mi><msub><mrow><mi>N</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span>) and some unknown networks. In order to further reflect the reliability of composite network CRNs, we determine connectivity and <em>h</em>-conditional restricted connectivity for <span><math><mn>0</mn><mo>≤</mo><mi>h</mi><mo>≤</mo><mi>l</mi><mo>−</mo><mn>1</mn></math></span>. As an application, we get the connectivity and <em>h</em>-conditional restricted connectivity of <span><math><mi>A</mi><msub><mrow><mi>N</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span> directly.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129399"},"PeriodicalIF":3.5,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Explicit forms of interpolating cubic splines and data smoothing","authors":"Csaba Török ,&nbsp;Juraj Hudák ,&nbsp;Viktor Pristaš ,&nbsp;Lubomir Antoni","doi":"10.1016/j.amc.2025.129411","DOIUrl":"10.1016/j.amc.2025.129411","url":null,"abstract":"<div><div>We express the interpolating cubic splines of class <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> in their new, explicit forms. We construct the desired forms, the spline's Hermitian and B-spline representations for both equidistant and arbitrary nodes. During this process we demonstrate an innovative way to compute the inverse of a special class of tridiagonal matrices. Afterward, we propose the corresponding interpolating spline based linear regression models with easily interpretable coefficients suitable for smoothing data of complex structures.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"500 ","pages":"Article 129411"},"PeriodicalIF":3.5,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143679781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Anti-windup design for networked time-delay systems subject to saturating actuators under round-robin protocol","authors":"Yonggang Chen ,&nbsp;Yaxue Zhao ,&nbsp;Zhou Gu ,&nbsp;Xinfen Yang","doi":"10.1016/j.amc.2025.129413","DOIUrl":"10.1016/j.amc.2025.129413","url":null,"abstract":"<div><div>This paper investigates the anti-windup design for networked time-delay systems subject to saturating actuators under the round-robin protocol. Firstly, the actual measurement output is represented by the model that is dependent on a periodic function. Then, using the generalized delay-dependent sector condition, the augmented periodic Lyapunov-Krasovskii functional together with certain inequalities, an anti-windup design criterion is derived based on linear matrix inequalities under which the closed-loop systems have the desirable properties such as boundedness, <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> performance, and asymptotic stability. The corresponding results are also presented for the case of constant delay and the case of no time delay. Moreover, the relevant optimizations in the main results are discussed. In the end, two numerical examples illustrate the availability and advantages of the proposed results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129413"},"PeriodicalIF":3.5,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Spectral properties of flipped Toeplitz matrices and computational applications","authors":"Giovanni Barbarino ,&nbsp;Sven-Erik Ekström ,&nbsp;Carlo Garoni ,&nbsp;David Meadon ,&nbsp;Stefano Serra-Capizzano ,&nbsp;Paris Vassalos","doi":"10.1016/j.amc.2025.129408","DOIUrl":"10.1016/j.amc.2025.129408","url":null,"abstract":"<div><div>We study the spectral properties of flipped Toeplitz matrices of the form <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo><mo>=</mo><msub><mrow><mi>Y</mi></mrow><mrow><mi>n</mi></mrow></msub><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>, where <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span> is the <span><math><mi>n</mi><mo>×</mo><mi>n</mi></math></span> Toeplitz matrix generated by the function <em>f</em> and <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span> is the <span><math><mi>n</mi><mo>×</mo><mi>n</mi></math></span> exchange (or flip) matrix having 1 on the main anti-diagonal and 0 elsewhere. In particular, under suitable assumptions on <em>f</em>, we establish an alternating sign relationship between the eigenvalues of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>, the eigenvalues of <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>, and the quasi-uniform samples of <em>f</em>. Moreover, after fine-tuning a few known theorems on Toeplitz matrices, we use them to provide localization results for the eigenvalues of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>. Our study is motivated by the convergence analysis of the minimal residual (MINRES) method for the solution of real non-symmetric Toeplitz linear systems of the form <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo><mi>x</mi><mo>=</mo><mi>b</mi></math></span> after pre-multiplication of both sides by <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span>, as suggested by Pestana and Wathen <span><span>[26]</span></span>. A selection of numerical experiments is provided to illustrate the theoretical results and to show how to use the spectral localizations for predicting the MINRES performance on linear systems with coefficient matrix <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><mi>f</mi><mo>)</mo></math></span>.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129408"},"PeriodicalIF":3.5,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Game strategy analysis on E-commerce platform supply chain with shared logistics service: A chaos perspective","authors":"Yuanyuan Zhang,&nbsp;Shaochuan Fu,&nbsp;Shucheng Fan,&nbsp;Fangfang Ma","doi":"10.1016/j.amc.2025.129414","DOIUrl":"10.1016/j.amc.2025.129414","url":null,"abstract":"<div><div>This study explores a distinctive scenario within the e-commerce platform supply chain. To assess the performance of these entities, we develop models for both centralized and decentralized decision-making frameworks. Furthermore, we investigate the stability and dynamic behavior of the system during prolonged decentralized model interactions. We found that centralized decision-making has a significant advantage in terms of retail prices and profits within this supply chain. Additionally, the dynamic complexity analysis underscores the challenges of managing an e-commerce supply chain under the decentralized model framework, where finding equilibrium points for decision variables proves complex and the stable ranges for these parameters are notably limited. Higher commission rates incentivize entities to adopt more aggressive strategies, with the most pronounced impact on logistics services and wholesale prices. This adjustment can lead to a substantial decrease in platform profit when the commission rate is raised.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129414"},"PeriodicalIF":3.5,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Exponential stabilization for spatial multiple-fractional advection-diffusion-reaction system","authors":"Xing-Yu Li ,&nbsp;Kai-Ning Wu ,&nbsp;Zhan-Wen Yang","doi":"10.1016/j.amc.2025.129409","DOIUrl":"10.1016/j.amc.2025.129409","url":null,"abstract":"<div><div>The exponential stabilization for spatial multiple-fractional advection-diffusion-reaction system (SMFADRS) is considered, and for the disturbed SMFADRS, the finite-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> stabilization is investigated. To ensure the considered system to achieve the desired performance, a distributed controller is designed to be located in the sub-intervals of the whole spatial domain. Then, by deriving an improved fractional Poincare's inequality and resorting to the Lyapunov functional method, the sufficient criteria of exponential stability and finite-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> performance are obtained. Besides, we also explore the effect of the space domain and its division, the control gain, the distribution of controller and the fractional order on the stability. Moreover, we apply the obtained theoretical results to address the control problem of the groundwater pollution, and the corresponding numerical simulations are performed to show the effectiveness of our results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129409"},"PeriodicalIF":3.5,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}