{"title":"Event-triggered stabilization for switched nonlinear systems under state-overshooting constraint","authors":"Zidong Ai , Lianghong Peng , Yongzhi Jing","doi":"10.1016/j.amc.2025.129549","DOIUrl":"10.1016/j.amc.2025.129549","url":null,"abstract":"<div><div>This article is concerned with the stabilization problem for discrete-time switched nonlinear systems where the switching signal is transmitted through a wireless network. In order to take the transient performances into account, a definition of state overshoot that measures how the state exceeds its non-zero initial state is introduced. By introducing the state-overshooting constraint, an event-triggered mechanism (ETM) is designed to generate a switching signal that guarantees exponential stability of the considered system. Some stability criteria without and with packet dropout of switching signals are obtained, and the relationship of the parameters with the convergence rate is revealed. Compared with time-driven switching and state-feedback switching methods, the proposed event-triggered switching mechanism can guarantee satisfactory system performance with a lower switching frequency. Finally, two numerical examples including a switched Chua's circuit are provided to illustrate the validity of the developed approach.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129549"},"PeriodicalIF":3.5,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144204348","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":"Decentralized dynamic event-triggered passive bipartite synchronization for semi-Markov jump cooperation-competition neural networks under hybrid random cyber-attacks","authors":"Liangyao Shi, Jing Wang","doi":"10.1016/j.amc.2025.129560","DOIUrl":"10.1016/j.amc.2025.129560","url":null,"abstract":"<div><div>The issue of bipartite synchronization for a class of continuous-time coupled neural networks is investigated in this article, in which the interactions among the neural network nodes coexist collaboratively and antagonistically. At first, the semi-Markov jump process is utilized to model the stochastic switching network topology. Then, a decentralized dynamic event-triggered mechanism incorporating a novel dynamic threshold parameter is proposed to avoid unnecessary continuous monitoring and reduce communication overhead. Besides, the secure bipartite synchronization controller is devised to meet the control demand under hybrid cyber-attacks. Thereafter, according to the Lyapunov stability theory, sufficient conditions are developed to guarantee that the resulting error system is stochastically stable with the specified passive performance. Lastly, the effectiveness of the proposed controller is validated through a simulation example.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129560"},"PeriodicalIF":3.5,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144196360","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-driven time-varying reputation update solve social dilemmas","authors":"Yang Wang , Shounan Lu","doi":"10.1016/j.amc.2025.129562","DOIUrl":"10.1016/j.amc.2025.129562","url":null,"abstract":"<div><div>The reputation mechanism serves as a critical component in sustaining the efficient functioning of social systems. Building upon existing research, this study introduces a novel time-varying reputation update rule that incorporates environmental feedback. Specifically, we establish that the reputation reward for cooperation follows a positive yet non-linear relationship with the proportion of cooperators, while the reputation penalty for defection exhibits a negative but equally non-linear correlation with the cooperator ratio. Our research yields two significant contributions: First, our findings reveal two key insights: The proposed mechanism significantly enhances cooperative behavior compared to traditional version, demonstrating superior performance in improving network reciprocity utility, and compared to homogeneous reputation, time-varying reputation update perform better in enhancing cooperation under low social dilemma. Second, we extend this framework by developing three additional time-varying reputation update rules that incorporate environmental feedback. Comparative analysis demonstrates that different reputation mechanisms exhibit varying levels of effectiveness in promoting cooperation under different intensities of social dilemmas. The reward conditions during the initial cooperative evolution will influence the spread of cooperative behavior in future systems. These findings not only deepen our theoretical understanding of reputation dynamics but also provide insights for designing context-specific reputation systems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129562"},"PeriodicalIF":3.5,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144204347","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}
Jun Mao , Qiang Li , Ronghao Wang , Wencheng Zou , Zhengrong Xiang
{"title":"Adaptive neural fixed-time sampled-data output-feedback stabilization for a class of nonlinear systems","authors":"Jun Mao , Qiang Li , Ronghao Wang , Wencheng Zou , Zhengrong Xiang","doi":"10.1016/j.amc.2025.129550","DOIUrl":"10.1016/j.amc.2025.129550","url":null,"abstract":"<div><div>This article is engaged in addressing a neural-network-based fixed-time stabilization problem for a controlled nonlinear system by basing on its sampled output detection. For observing unavailable states, an observer, which is established by depending on system's sampled output and sampled-data input, is applied. By following the backstepping technique, an adaptive fixed-time sampled-data output-feedback stabilizer (AFSOS), which is established by depending on the strong approximation ability of neural networks (NNs), is developed. Moreover, singularity-free derivation for developed virtual control laws (VCLs) can be realized by the benefit of VCLs' special switching structures. In the light of fixed-time stability criterion and also by selecting suitable Lyapunov function candidates (LFCs), sufficient conditions for ensuring practically fixed-time stable (PFS) of the formulating closed-loop system can be exported. Lastly, a simulation is carried out to reflect the availability of the developed scheme.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129550"},"PeriodicalIF":3.5,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144189893","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 efficient procedure to compute the continuous Baker–Campbell–Hausdorff formula","authors":"Ana Arnal, Fernando Casas, Cristina Chiralt","doi":"10.1016/j.amc.2025.129563","DOIUrl":"10.1016/j.amc.2025.129563","url":null,"abstract":"<div><div>We present an efficient procedure to compute the continuous Baker–Campbell–Hausdorff formula based on the Magnus expansion. It only requires the computation of one iterated integral and one new commutator at each degree. The remaining terms are recovered by the action of permutations on the indices of the iterated integral. The procedure is illustrated on several examples of control theory.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129563"},"PeriodicalIF":3.5,"publicationDate":"2025-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144196358","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":"Successive approximations method is used to solve nonlinear Volterra delay integral equations","authors":"Hasan Behroozi , Manochehr Kazemi , Reza Ezzati","doi":"10.1016/j.amc.2025.129547","DOIUrl":"10.1016/j.amc.2025.129547","url":null,"abstract":"<div><div>The current research introduces a new numerical iterative method that uses a quadrature formula and successive approximations to solve certain types of equations called nonlinear delay integral equations as Hammerstein Volterra type of the second kind. The convergence analysis and numerical stability of the method are also demonstrated. Additionally, by providing the numerical applications, we show to validate the theoretical results and showcase the method's accuracy. The investigation of this integral equation is significant as it encompasses a variant of a mathematical model used in epidemiology.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129547"},"PeriodicalIF":3.5,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144168143","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 piecewise gradient prior for small structures and contrast preserving image smoothing","authors":"Tingting Li , Fang Li , Huiqing Qi","doi":"10.1016/j.amc.2025.129557","DOIUrl":"10.1016/j.amc.2025.129557","url":null,"abstract":"<div><div>Image smoothing is a fundamental task in digital image processing with broad applications. However, traditional texture smoothing techniques often result in the loss or blurring of small structural information and contrast. In this paper, we introduce a piecewise gradient prior aimed at overcoming this drawback. The prior is based on a four-segment piecewise (FSP) penalty function, which can process signals at different scales. We also present an effective iterative algorithm based on the alternate direction method of multipliers framework and provide theoretical proof of global convergence for the proposed algorithm. Our method has shown promising results in various applications, including texture removal, clip art compression artifact removal, and edge detection. Experimental results demonstrate the effectiveness and superior performance of our approach in these applications.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129557"},"PeriodicalIF":3.5,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144168144","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":"Dual auxiliary systems-based turn-on/off trigger fault-tolerant control for input-constrained satellite","authors":"Baomin Li, Mou Chen, Min Wan","doi":"10.1016/j.amc.2025.129548","DOIUrl":"10.1016/j.amc.2025.129548","url":null,"abstract":"<div><div>In this paper, a dual auxiliary systems-based fault-tolerant attitude turn-on/off trigger control problem is studied for the satellite. To address the flexible performance tracking control problem under any initial condition, a new prescribed performance function is designed. Furthermore, to improve the accuracy of satellite attitude tracking errors under the saturation and fault, a novel monitor auxiliary system is proposed, which is excited by tracking error. Subsequently, a new turn-on/off trigger strategy is designed, which has the ability to automatically adjust the communication frequency from the controller to the actuator according to the system performance. In other words, the communication frequency increases from the controller to the actuator when the tracking error is close to the prescribed performance function, and the communication from the controller to the actuator will become real-time when the tracking error violates the prescribed performance function. Then, it is theoretically proven that the closed-loop satellite attitude control system is stable. Finally, the simulation example is given to prove the effectiveness of the designed control scheme.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"506 ","pages":"Article 129548"},"PeriodicalIF":3.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147709","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":"Evolution of cooperation in spatial public goods games with migration and interactive diversity","authors":"Zehua Si , Takayuki Ito , Hsuan-Wei Lee","doi":"10.1016/j.amc.2025.129544","DOIUrl":"10.1016/j.amc.2025.129544","url":null,"abstract":"<div><div>Evolutionary games on networks often assume that individuals do not move and adopt a uniform strategy toward all neighbors. In reality, however, individuals can migrate to seek more favorable conditions and may act differently depending on whom they interact with. Here, we fill this gap by extending the spatial public goods game on a two-dimensional lattice to include both migration and node-dynamics-based interactive diversity. Through systematic Monte-Carlo simulations, we demonstrate a clear division of labor: at low to moderate densities, mobility carves “escape corridors” that protect cooperators, whereas at high densities, interactive diversity spawns “imperfect” cooperative clusters able to endure strong social dilemmas. Most importantly, the combination of these two mechanisms substantially lowers the threshold for cooperation, enabling the system to sustain cooperation even under low-density and strong-dilemma conditions where previous models predict the collapse of cooperation. This complementary effect shows that migration seeds clusters while partner-specific reciprocity stabilizes them, creating a robust path to cooperation that neither mechanism can achieve alone. The result suggests a practical design rule: encourage limited mobility in sparse populations and foster interactive diversity in crowded ones to maximize prosocial behavior in complex adaptive systems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"506 ","pages":"Article 129544"},"PeriodicalIF":3.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147710","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}
Weiting Zhang , Guitian He , Maokang Luo , Wenjie Liang
{"title":"Valuation of R&D projects of new energy vehicles based on generalized mixed sub-fractional Brownian motion under fuzzy environment","authors":"Weiting Zhang , Guitian He , Maokang Luo , Wenjie Liang","doi":"10.1016/j.amc.2025.129559","DOIUrl":"10.1016/j.amc.2025.129559","url":null,"abstract":"<div><div>The industry and investors are closely monitoring the valuation of research and development (R&D) projects related to new energy vehicles (NEVs) as their technology advances rapidly. However, standard techniques of valuation often fail to describe the full value of R&D initiatives in an uncertain market environment, due to the significant technical hazards and uncertain results associated with these projects. To address this issue, this study creatively introduces a generalized mixed sub-fractional Brownian motion (GMSFBM) based valuation method for compound real options in the NEV R&D projects. In order to more accurately characterize the technical and financial risks at every stage of the R&D process, this paper combines stochastic processes with compound real option theory. Significantly, to derive the assessment model for NEV R&D projects, a fuzzy partial differential equation (FPDE) of the five-fold compound real option model is constructed using Itô's lemma. Moreover, asymmetric trapezoidal fuzzy parameters are also introduced by the valuation model to characterize the uncertainty of the NEV R&D projects. Finally, numerical experiments are conducted to validate the effectiveness and practicality of the GMSFBM model in the appraisement of the NEV R&D projects, providing new quantitative analysis tools and methods for project decision-making.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"507 ","pages":"Article 129559"},"PeriodicalIF":3.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147258","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}