Applied Mathematics and Computation最新文献

{"title":"Mode-based triggered protocol for synchronization of switched dynamic networks with semi-Markov kernel and its application","authors":"Mengshen Chen ,&nbsp;Derui Ding ,&nbsp;Huaicheng Yan ,&nbsp;Kun Liang","doi":"10.1016/j.amc.2025.129336","DOIUrl":"10.1016/j.amc.2025.129336","url":null,"abstract":"<div><div>In this paper, the mean square synchronization is investigated for discrete-time dynamic networks with stochastic switching topologies via a semi-Markov kernel approach. A novel mode-based triggered protocol is developed to reduce the communication frequency, where the data between coupled nodes is only transmitted at the topology switching instants. Besides, a more general semi-Markov chain based on the semi-Markov kernel approach is first adopted to describe the stochastic switching process of network topologies, then the different types of probability density functions can coexist in any topological mode. Under the proposed triggering strategy, a mode-based distributed synchronization protocol is formed to deal with the controller design difficulty caused by the randomness of semi-Markov switching. Based on the Lyapunov function, some auxiliary inequalities in existing results are avoided and further the numerically testable criterion is obtained to ensure mean square synchronization of the dynamic networks. Finally, a practical example of power systems is presented to demonstrate the effectiveness of the proposed method.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129336"},"PeriodicalIF":3.5,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143349948","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":"Optimal finite-horizon tracking control in affine nonlinear systems: A Stackelberg game approach with H2/H∞ framework","authors":"Xu Dong ,&nbsp;Huaguang Zhang ,&nbsp;Zhongyang Ming ,&nbsp;Yanhong Luo","doi":"10.1016/j.amc.2025.129276","DOIUrl":"10.1016/j.amc.2025.129276","url":null,"abstract":"<div><div>In this paper, we address the finite-time optimal tracking control problem within the context of a Stackelberg game structure, characterized by the mixed <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>/</mo><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> framework. This objective is accomplished through the innovative design and implementation of a novel Adaptive Dynamic Programming (ADP) algorithm. Initially, we establish a time-varying coupled Hamilton-Jacobi-Isaacs (HJI) equations, posing a significant challenge in deriving an analytical solution for the optimal leader. Subsequently, we elucidate the existence of Nash equilibrium points, confirming the algorithm's convergence and providing theoretical foundations for its practical application. Furthermore, we introduce a novel ADP algorithm that incorporates time-varying activation functions. The use of the Lyapunov direct method ensures the stability of the closed-loop affine nonlinear system under the ADP control scheme, thereby guaranteeing the system's uniformly ultimately bounded (UUB). Finally, the effectiveness of the aforementioned ADP-based control approach is validated through numerical simulations.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129276"},"PeriodicalIF":3.5,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137452","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":"Analysis of a stabilized element-free Galerkin method for magnetohydrodynamic flow at very large Hartmann numbers","authors":"Xiaolin Li ,&nbsp;Haiyun Dong","doi":"10.1016/j.amc.2025.129334","DOIUrl":"10.1016/j.amc.2025.129334","url":null,"abstract":"<div><div>A stabilized element-free Galerkin (EFG) method is designed to simulate magnetohydrodynamic (MHD) flow at very large Hartmann numbers. By transforming the MHD flow to two decoupled convection-diffusion problems, residual-based formulas are devised to improve the performance of the standard EFG method damaged by large Hartmann numbers. Error of the stabilized EFG method is discussed in theory. Numerical examples show that this meshless method can produce efficacious solutions for MHD problems with very large Hartmann numbers such as 10¹⁶.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129334"},"PeriodicalIF":3.5,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137418","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":"Stabilization of hybrid stochastic neutral-type systems with non-differentiable delays under high nonlinearity via discrete-time feedback control","authors":"Yueli Huang ,&nbsp;Yuan Lv ,&nbsp;Quanxin Zhu","doi":"10.1016/j.amc.2025.129333","DOIUrl":"10.1016/j.amc.2025.129333","url":null,"abstract":"<div><div>In this paper, we discuss a kind of unstable hybrid neutral stochastic systems with non-differentiable delays, whose coefficients satisfy polynomial growth conditions. The key purpose of this paper is to develop a controller based on discrete-time observations for both modes and states to achieve stability of the controlled system. We establish some new stability criteria for hybrid neutral-type stochastic systems with non-differentiable delay under high nonlinearity. The sufficient stability criteria of asymptotic stability, exponential stability and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> stability are established. Finally, an example is given to verify our theoretical results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129333"},"PeriodicalIF":3.5,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137420","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":"Coupled diffusion dynamics of competitive information and green behaviors on multiplex networks under policy intervention","authors":"Zhishuang Wang ,&nbsp;Yicong Wan ,&nbsp;Qian Yin ,&nbsp;Zhiyong Hong ,&nbsp;Qiuxia Xu ,&nbsp;Chengyi Xia","doi":"10.1016/j.amc.2025.129328","DOIUrl":"10.1016/j.amc.2025.129328","url":null,"abstract":"<div><div>In addition to reducing greenhouse gas emissions from industrial production, individual green behaviors also play a significant role in alleviating the climate crisis. To quantitatively analyze the dynamic properties of the coupled diffusion of positive and negative information and green behaviors under policy intervention, we constructed a model based on a two-layer complex networks framework. Positive information promotes individual adoption of green behaviors, while negative information reduces individual willingness to engage in green behaviors, and policy intervention affects the probability of individuals abandoning green behaviors. We also considered the influence of individual hesitancy psychology in the competitive dissemination process of the two types of information. Utilizing compartmental models commonly used in infectious disease transmission, we characterized the diffusion processes of both types of information and green behaviors and described the transition mechanism of individual states using probability transition trees based on the coupled diffusion mechanism. Combining the topological structure of the two-layer complex networks, we further formalized the coupled propagation model into coupled diffusion dynamic equations. Based on the steady-state coupled diffusion dynamic equations, we derived the outbreak threshold expression for green behaviors in the proposed coupled diffusion model, indicating that both the density of information propagation and the intensity of policy intervention directly influence the diffusion threshold of green behaviors in the population. Extensive computer simulation results were used to further analyze the dynamic properties of coupled diffusion, showing that when the propagation rate of positive information exceeds that of negative information, it is conducive to the outbreak and diffusion of green behaviors. Policy intervention has a better promotional effect when negative information spreads widely. Moreover, the diffusion threshold of green behaviors may undergo a sudden change with the variation in the propagation rates of the two types of information.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129328"},"PeriodicalIF":3.5,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137454","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":"Event-based global asymmetric constraint control for p-normal systems with unknown control coefficients","authors":"Qidong Li ,&nbsp;Changchun Hua ,&nbsp;Kuo Li ,&nbsp;Hao Li","doi":"10.1016/j.amc.2025.129275","DOIUrl":"10.1016/j.amc.2025.129275","url":null,"abstract":"<div><div>The global asymmetric predetermined performance control (APPC) problem for <em>p</em>-normal systems with time-varying unknown control coefficients is studied. To address the challenges posed by these unknown time-varying control coefficients, a new unified Nussbaum function is proposed. This function is applicable to all cases where the system power is an odd positive ratio, not just those greater than or equal to one. In order to remove the restriction on the initial values of system, a variable transformation mechanism is designed, enhancing the applicability of the control strategy. Additionally, by incorporating the sign of the error signal into the error transformation mechanism, the constraint boundaries can be switched based on the sign of error. This introduces non-differentiability issues, which are effectively managed through the design of the virtual controller. Furthermore, to optimize energy transmission efficiency, we develop an adaptive event-triggered (AET) mechanism that dynamically adjusts the triggered threshold based on the tracking error. We also provide lemmas to demonstrate that all signals within the system are bounded and that the tracking error remains within the asymmetric boundaries. Finally, two examples are given to verify the effectiveness of the proposed algorithm.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129275"},"PeriodicalIF":3.5,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137419","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":"Numerical cubature and hyperinterpolation over spherical polygons","authors":"A. Sommariva","doi":"10.1016/j.amc.2025.129335","DOIUrl":"10.1016/j.amc.2025.129335","url":null,"abstract":"<div><div>The purpose of this work is to introduce a strategy for determining the nodes and weights of a low-cardinality positive cubature formula nearly exact for polynomials of a given degree over spherical polygons.</div><div>In the numerical section we report the results about numerical cubature over spherical polygons <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>, <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>, approximating respectively the Australian and African continents. As an application we consider the reconstruction of functions over <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>, also affected by perturbations, via hyperinterpolation and some of its variants. The open-source Matlab software used in the numerical tests is available at the author's homepage.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129335"},"PeriodicalIF":3.5,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137453","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":"Adaptive FTPP control of switched stochastic nonlinearly parameterized systems with asymptotic tracking performance","authors":"Yanli Liu,&nbsp;Yihua Sun,&nbsp;Li-Ying Hao","doi":"10.1016/j.amc.2025.129305","DOIUrl":"10.1016/j.amc.2025.129305","url":null,"abstract":"<div><div>The article discusses the asymptotic tracking control for switched stochastic systems with nonlinear parameterization. Firstly, to achieve the finite-time control, a finite-time prescribed performance function (FTPPF) is introduced into the regular control frame which refrains from the fractional-order controller design. Secondly, an error transformation is employed which renders the transition from primordial output tracking error to a new error associated with the FTPPF for achieving objective. Thirdly, an improved filter is introduced to deal with the sharp increase in computation on account of the repeated differentiation of the virtual controllers. By using the Barbǎlat's Lemma, the designed control strategy can insure the output tracks the reference signal asymptotically, and the performance function boundaries are satisfied within a finite time under the designed control strategy. Finally, simulations are given to demonstrate the feasibility of the constructed strategy.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129305"},"PeriodicalIF":3.5,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077685","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":"Environmental feedback promotes cooperation in a spatial prisoner's dilemma game with preferential selection","authors":"Minlan Li ,&nbsp;Chao Wang ,&nbsp;Yanyan Han ,&nbsp;Si-Yi Wang ,&nbsp;Ruiwu Wang","doi":"10.1016/j.amc.2025.129331","DOIUrl":"10.1016/j.amc.2025.129331","url":null,"abstract":"<div><div>The reciprocal influence between the environment and the cooperation level is a ubiquitous reality. Changes in cooperation levels impact environmental quality, while environmental conditions, in turn, affect individual fitness and behavior. Drawing inspiration from this inherent interplay, we investigate the role of environmental feedback on the spatial prisoner's dilemma game. We establish two discrete environmental states by introducing a feedback parameter. Furthermore, we incorporate a more realistic scenario wherein individuals with higher fitness are more likely to be imitated by their neighbors due to preferential selection. Our findings reveal that environmental feedback efficiently fosters cooperation, driven by the preferential selection. Moreover, a specific parameter range is identified in which the enhancement for cooperation is most pronounced. Notably, we observe that environmental feedback alone does not enhance cooperation, a result potentially linked to the nature of feedback formulations employed. These results provide valuable insights into the emergence and evolution of cooperation within complex systems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129331"},"PeriodicalIF":3.5,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077683","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":"Mitigating infection in prey through cooperative behavior under fear-induced defense","authors":"K.M. Ariful Kabir","doi":"10.1016/j.amc.2025.129318","DOIUrl":"10.1016/j.amc.2025.129318","url":null,"abstract":"<div><div>This study investigates an eco-epidemiological model that incorporates disease dynamics in prey populations while considering the impact of predator-induced fear on prey species. A pairwise evolutionary game theory model, which incorporates prey species behavior to mitigate infection, is also examined. Prey individuals can employ two behavioral tactics, cooperation, and defection, to reduce infection. The behavioral changes in prey are described using a game dynamic model based on replicator equations, where the gain depends on pairwise dyadic interactions. Without predator species, the prey population is assumed to grow logistically, with the disease affecting only the prey. The prey population is divided into susceptible prey and infected prey. Predators, which are not infected by the disease, feed on both susceptible and infected prey. The presence of predators induces fear in the prey, making them more vigilant and reducing their contact with infected individuals. This decreased contact lowers the chance of infection among susceptible prey. Infected prey, being more watchful, are unaffected by the fear of predators. The equilibrium points of the system and their stability are analyzed. As the level of fear increases, the system shifts from limit cycle oscillations to a steady state. While increasing fear levels do not eradicate the disease, they do reduce the amplitude of the infected prey population. The system's stability changes with varying infection rates, leading to predator extinction when the infection rate in prey is sufficiently high despite predators not being infected. This study reveals that fear and behavioral control strategies can contribute to eradicating the disease. Increasing levels of fear have a passive effect on reducing the infected population, while control behavior has an active impact, highlighting a critical insight that strengthens the model. These findings enhance the understanding of the system's dynamic behavior.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"495 ","pages":"Article 129318"},"PeriodicalIF":3.5,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143077684","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}