Applied Mathematics and Computation最新文献

{"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}

{"title":"Regularized directional do-nothing boundary conditions for the Navier-Stokes equations: Analytical and numerical study","authors":"Pedro Nogueira,&nbsp;Ana L. Silvestre","doi":"10.1016/j.amc.2025.129398","DOIUrl":"10.1016/j.amc.2025.129398","url":null,"abstract":"<div><div>We consider the steady 2D and 3D Navier-Stokes equations with homogeneous mixed boundary conditions and the action of an external force. The classical do-nothing (CDN) boundary condition is replaced by a regularized directional do-nothing (RDDN) condition which depends on a parameter <span><math><mn>0</mn><mo>&lt;</mo><mi>δ</mi><mo>≪</mo><mn>1</mn></math></span>. After establishing the well-posedness of the Navier-Stokes equations with RDDN condition, we prove the convergence, as <span><math><mi>δ</mi><mo>→</mo><mn>0</mn></math></span>, to the solution of the Navier-Stokes equations with directional do-nothing (DDN) condition. The use of the RDDN condition in comparison with the CDN and DDN conditions is illustrated with 2D numerical simulations. The theoretical convergence result as <span><math><mi>δ</mi><mo>→</mo><mn>0</mn></math></span> is also confirmed by our numerical results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129398"},"PeriodicalIF":3.5,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675628","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":"Observer-based finite-time H∞ fault-tolerant control for uncertain Markov jump systems against generally bounded transition probabilities via two-step dynamic event-triggered approach","authors":"Guochen Pang ,&nbsp;Xiang Pan ,&nbsp;Xiangyong Chen ,&nbsp;Jinde Cao ,&nbsp;Yang Liu ,&nbsp;Jianlong Qiu","doi":"10.1016/j.amc.2025.129407","DOIUrl":"10.1016/j.amc.2025.129407","url":null,"abstract":"<div><div>This paper investigates the problem of finite-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> fault-tolerant control for uncertain Markov jump systems with generally bounded transition probabilities using a two-step dynamic event-triggered approach. A novel framework is proposed to optimize data transmission and improve fault tolerance via this approach. First, a dynamic event-triggered mechanism and an observer are introduced where a virtual observer is designed to enhance accuracy and mitigate fault impact. The actual <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> observer is then constructed by processing unmeasurable information. Second, based on the obtained estimates, a co-design method for the dynamic event-triggered mechanism and the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> fault-tolerant controller is developed. Finally, comparative experiments and two simulation examples validate the effectiveness and superiority of the proposed method.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129407"},"PeriodicalIF":3.5,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675632","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 nonlinear immersed boundary method for weighted compact nonlinear schemes","authors":"Tianchu Hao ,&nbsp;Yaming Chen ,&nbsp;Lingyan Tang ,&nbsp;Songhe Song","doi":"10.1016/j.amc.2025.129410","DOIUrl":"10.1016/j.amc.2025.129410","url":null,"abstract":"<div><div>Weighted compact nonlinear schemes are a class of high-order finite difference schemes that are widely used in applications. The schemes are flexible in the choice of numerical fluxes. When applied to complex configurations, curvilinear grids are often applied, where the symmetric conservative metric method can be used to ensure geometric conservation laws. However, for complex configurations it may be difficult to generate high quality curvilinear grids. Thus, we confine the study in this paper to Cartesian grids and develop a nonlinear immersed boundary method to deal with the boundary. The developed method is applicable to different kinds of boundary conditions. In addition, compared with the traditional immersed boundary method, this new method can handle problems with shocks near boundary. Both one- and two-dimensional cases are studied into details, with corresponding numerical results showing the validity of the proposed method.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129410"},"PeriodicalIF":3.5,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675629","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 macroscopic pedestrian model with variable maximal density","authors":"Laura Bartoli ,&nbsp;Simone Cacace ,&nbsp;Emiliano Cristiani ,&nbsp;Roberto Ferretti","doi":"10.1016/j.amc.2025.129404","DOIUrl":"10.1016/j.amc.2025.129404","url":null,"abstract":"<div><div>In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd – usually a fixed model parameter – is instead a state variable. To do that, the model couples a conservation law, devised as usual for tracking the evolution of the crowd density, with a Burgers-like PDE with a nonlocal term describing the evolution of the maximal density. The variable maximal density is used here to describe the effects of the psychological/physical pushing forces which are observed in crowds during competitive or emergency situations.</div><div>Specific attention is also dedicated to the fundamental diagram, i.e., the function which expresses the relationship between crowd density and flux. Although the model needs a well defined fundamental diagram as known input parameter, it is not evident <em>a priori</em> which relationship between density and flux will be actually observed, due to the time-varying maximal density. An <em>a posteriori</em> analysis shows that the observed fundamental diagram has an elongated “tail” in the congested region, thus resulting similar to the concave/concave fundamental diagram with a “double hump” observed in real crowds.</div><div>The main features of the model are investigated through 1D and 2D numerical simulations. The numerical code for the 1D simulation is freely available <span><span>on this Gitlab repository</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129404"},"PeriodicalIF":3.5,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675631","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":"Variable-coefficient BDF methods with fully-geometric grid for linear nonhomogeneous neutral pantograph equations","authors":"Zhixiang Jin ,&nbsp;Chengjian Zhang","doi":"10.1016/j.amc.2025.129412","DOIUrl":"10.1016/j.amc.2025.129412","url":null,"abstract":"<div><div>This paper deals with numerical computation and analysis for the initial value problems (IVPs) of linear nonhomogeneous neutral pantograph equations. For solving this kind of IVPs, a class of extended <em>k</em>-step variable-coefficient backward differentiation formula (BDF) methods with fully-geometric grid are constructed. It is proved under the suitable conditions that an extended <em>k</em>-step variable-coefficient BDF method can arrive at <em>k</em>-order accuracy and is asymptotically stable. With a series of numerical experiments, the computational effectiveness and theoretical results of the presented methods are further confirmed.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129412"},"PeriodicalIF":3.5,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143675630","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":"Effect of time-varying validity of individual interaction on co-evolution of awareness and epidemics in a multiplex high-order network","authors":"Ming Li ,&nbsp;Liang'an Huo","doi":"10.1016/j.amc.2025.129396","DOIUrl":"10.1016/j.amc.2025.129396","url":null,"abstract":"<div><div>Individual interactions play a crucial role in the co-evolution process of awareness and epidemics; these interactions involve pairwise and higher-order types. Previous research usually assumed that individual interactions are all valid and static, overlooking the fact that some interactions may be invalid and time-varying. Notably, diffusion phenomena cannot occur if interactions lose their validity. To address this gap, a novel coupled model is proposed to study the effect of time-varying interaction validity on the co-evolution of awareness and epidemics in a multiplex high-order network. Individual activity and life-cycle theory are employed to model the time-varying validity of interactions, which is further characterized using threshold functions. Simulation experiments reveal that increasing individual activity will increase the validity of interactions, which then leads to the prevalence of epidemics. In addition, maximizing epidemic control can be achieved by increasing activity in the virtual layer while reducing activity in the physical layer. Moreover, the results in more densely interacted communities suggest that more stringent control measures are required to bring the epidemic to extinction.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"499 ","pages":"Article 129396"},"PeriodicalIF":3.5,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642261","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}