Applied Mathematics and Computation最新文献

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Convergence and stability in mean square of the stochastic θ-methods for systems of NSDDEs under a coupled monotonicity condition 耦合单调性条件下NSDDEs系统随机θ-方法的收敛性和均方稳定性
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-10 DOI: 10.1016/j.amc.2025.129395
Mengyao Niu, Yuanling Niu, Jiaxin Wei
{"title":"Convergence and stability in mean square of the stochastic θ-methods for systems of NSDDEs under a coupled monotonicity condition","authors":"Mengyao Niu,&nbsp;Yuanling Niu,&nbsp;Jiaxin Wei","doi":"10.1016/j.amc.2025.129395","DOIUrl":"10.1016/j.amc.2025.129395","url":null,"abstract":"<div><div>Our research is devoted to investigating the convergence and stability in mean square of the stochastic <em>θ</em>-methods applied to neutral stochastic differential delay equations (NSDDEs) with super-linearly growing coefficients. Under a coupled monotonicity condition, we show that the numerical approximations of the stochastic <em>θ</em>-methods with <span><math><mi>θ</mi><mo>∈</mo><mo>[</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>,</mo><mn>1</mn><mo>]</mo></math></span> converge to the exact solution of NSDDEs strongly with order <span><math><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span>. Moreover, it is shown that the stochastic <em>θ</em>-methods are capable of preserving the stability of the exact solution of original equations for any given stepsize <span><math><mi>h</mi><mo>&gt;</mo><mn>0</mn></math></span>. Finally, several numerical examples are presented to illustrate the theoretical findings.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129395"},"PeriodicalIF":3.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593619","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}
引用次数: 0
Observer-based dynamic event-triggered second-level MPC for nonlinear time-delay CPSs under joint hybrid attacks 联合混合攻击下非线性时滞cps基于观测器的动态事件触发秒级MPC
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-06 DOI: 10.1016/j.amc.2025.129391
Hongchao Song , Zhenlei Wang , Xin Wang
{"title":"Observer-based dynamic event-triggered second-level MPC for nonlinear time-delay CPSs under joint hybrid attacks","authors":"Hongchao Song ,&nbsp;Zhenlei Wang ,&nbsp;Xin Wang","doi":"10.1016/j.amc.2025.129391","DOIUrl":"10.1016/j.amc.2025.129391","url":null,"abstract":"<div><div>This study investigates observer-based dynamic event-triggered (DET) second-level model predictive control (MPC) for a specific class of nonlinear time-delay cyber-physical systems (CPSs) under hybrid attacks on the sensor-controller (S-C) channel and controller-actuator (C-A) channel. A dynamic event-triggered mechanism with adaptive bias components is developed to reduce trigger frequency, uphold system performance, and conserve communication resources. Additionally, the observer gain is determined using the nominal observation model and linear matrix inequalities. A novel model predictive control approach is devised based on the identified model to enhance system performance. Theoretical analysis demonstrates that the proposed method effectively guarantees that the closed-loop system satisfies the input-to-state practical stability criterion. Finally, a numerical simulation case study is presented to validate the effectiveness of the proposed algorithm.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129391"},"PeriodicalIF":3.5,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550544","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}
引用次数: 0
Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach 基于观测器的非线性网络系统安全控制:半马尔可夫核方法的SCP模型
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-05 DOI: 10.1016/j.amc.2025.129394
Pei-Zhen Xia, Xiao-Heng Chang
{"title":"Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach","authors":"Pei-Zhen Xia,&nbsp;Xiao-Heng Chang","doi":"10.1016/j.amc.2025.129394","DOIUrl":"10.1016/j.amc.2025.129394","url":null,"abstract":"<div><div>In this article, the problem of observer-based security control for interval type-2 nonlinear networked systems with stochastic communication protocol (SCP) and denial-of-service (DoS) attacks is investigated. To begin with, considering the limited network bandwidth, a novel SCP is proposed to avoid data conflicts in information transmission. In particular, compared with the existing SCP, the SCP constructed in this article is scheduled by semi-Markov kernel, and the probability density function of its sojourn-time is assured by both the current mode and the next mode. Then, considering the influence of SCP and DoS attacks, the cooperative design conditions of observer-based security controller based on mode-dependent and fuzzy-dependent are given. Furthermore, a mode-dependent and sojourn-time-dependent Lyapunov function is adopted, and a sufficient condition for the mean square exponential stability of the closed-loop system is ensured. Finally, the feasibility of the method is verified by a mechanical motion model.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129394"},"PeriodicalIF":3.5,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550543","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}
引用次数: 0
Fixed-time stability criteria and adaptive state constrained control for uncertain switched nonlinear systems 不确定切换非线性系统的定时稳定性准则与自适应状态约束控制
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-05 DOI: 10.1016/j.amc.2025.129345
Shuo Liu , Huaguang Zhang , Hongbo Pang
{"title":"Fixed-time stability criteria and adaptive state constrained control for uncertain switched nonlinear systems","authors":"Shuo Liu ,&nbsp;Huaguang Zhang ,&nbsp;Hongbo Pang","doi":"10.1016/j.amc.2025.129345","DOIUrl":"10.1016/j.amc.2025.129345","url":null,"abstract":"<div><div>This paper investigates adaptive fixed-time state constrained tracking control problem for uncertain switched nonlinear systems, even if the fixed-time tracking control problem for each subsystem is not solvable. Based on the given fixed-time stability conditions, fixed-time stability criterion is established for switched nonlinear systems by developing a new multiple Lyapunov functions method. Then, by combining the fixed-time stability criterion with multiple integral barrier Lyapunov functions, the fuzzy adaptive controllers and a switching law dependent on states are designed constructively to solve the constrained fixed-time tracking control problem: 1) the boundedness of all the signals of the resulting closed-loop system is verified; 2) the system output can follow a given reference signal into an arbitrarily small compact set; 3) all the system states satisfy with their constraint condition. Finally, two examples are presented to verify the effectiveness of the obtained results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129345"},"PeriodicalIF":3.5,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143550542","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}
引用次数: 0
Explicit solutions and finite-time stability for fractional delay systems 分数阶时滞系统的显式解与有限时间稳定性
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-03-01 DOI: 10.1016/j.amc.2025.129388
Ahmed M. Elshenhab , Xing Tao Wang , Mohamed Hosny
{"title":"Explicit solutions and finite-time stability for fractional delay systems","authors":"Ahmed M. Elshenhab ,&nbsp;Xing Tao Wang ,&nbsp;Mohamed Hosny","doi":"10.1016/j.amc.2025.129388","DOIUrl":"10.1016/j.amc.2025.129388","url":null,"abstract":"<div><div>Finite-time stability and explicit solutions are considered for nonhomogeneous fractional systems with pure delay. First, explicit solutions are obtained by using new delayed Mittag-Leffler-type matrix functions. Second, the finite-time stability results are obtained by utilizing these explicit solutions and the norm estimate of these delayed Mittag-Leffler-type matrix functions. The results improve, extend, and complement the previous works. Finally, an example is provided to illustrate the importance of the results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129388"},"PeriodicalIF":3.5,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143527311","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}
引用次数: 0
Construction of solutions of the Riemann problem for a two-dimensional Keyfitz-Kranzer type model governing a thin film flow 二维 Keyfitz-Kranzer 型薄膜流模型黎曼问题解的构建
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-02-28 DOI: 10.1016/j.amc.2025.129378
Anamika Pandey , Rahul Barthwal , T. Raja Sekhar
{"title":"Construction of solutions of the Riemann problem for a two-dimensional Keyfitz-Kranzer type model governing a thin film flow","authors":"Anamika Pandey ,&nbsp;Rahul Barthwal ,&nbsp;T. Raja Sekhar","doi":"10.1016/j.amc.2025.129378","DOIUrl":"10.1016/j.amc.2025.129378","url":null,"abstract":"<div><div>This article is concerned with constructing solutions involving nonlinear waves to a three-constant two-dimensional Riemann problem for a reduced hyperbolic model describing a thin film flow of a perfectly soluble anti-surfactant solution. Here, we solve the Riemann problem without the limitation that each jump of the initial data emanates exactly one planar elementary wave. We obtain ten topologically distinct solutions using the generalized characteristic analysis. Our analysis explores the intricate interaction between classical and non-classical waves. Furthermore, in order to validate our solutions we thoroughly compare the obtained analytical solutions with numerical results through the second-order Local Lax Friedrichs scheme which is implemented in numerical simulation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129378"},"PeriodicalIF":3.5,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526705","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}
引用次数: 0
Symmetry and the Buchanan-Lillo conjecture: A resolution of the mixed feedback case 对称性与布坎南-利洛猜想:解决混合反馈问题
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-02-28 DOI: 10.1016/j.amc.2025.129376
Elena Braverman , John Ioannis Stavroulakis
{"title":"Symmetry and the Buchanan-Lillo conjecture: A resolution of the mixed feedback case","authors":"Elena Braverman ,&nbsp;John Ioannis Stavroulakis","doi":"10.1016/j.amc.2025.129376","DOIUrl":"10.1016/j.amc.2025.129376","url":null,"abstract":"<div><div>Buchanan and Lillo both conjectured that oscillatory solutions of the first-order delay differential equation with positive feedback <span><math><msup><mrow><mi>x</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>(</mo><mi>t</mi><mo>)</mo><mo>=</mo><mi>p</mi><mo>(</mo><mi>t</mi><mo>)</mo><mi>x</mi><mo>(</mo><mi>τ</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>)</mo></math></span>, <span><math><mi>t</mi><mo>≥</mo><mn>0</mn></math></span>, where <span><math><mn>0</mn><mo>≤</mo><mi>p</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>≤</mo><mn>1</mn></math></span>, <span><math><mn>0</mn><mo>≤</mo><mi>t</mi><mo>−</mo><mi>τ</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>≤</mo><mn>2.75</mn><mo>+</mo><mi>ln</mi><mo>⁡</mo><mn>2</mn><mo>,</mo><mi>t</mi><mo>∈</mo><mi>R</mi></math></span>, are asymptotic to a shifted multiple of a unique periodic solution. This special solution can also be described from the more general perspective of the mixed feedback case (sign-changing <em>p</em>), thanks to its symmetry (antiperiodicity). The analogue of this conjecture for negative feedback, <span><math><mi>p</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>≤</mo><mn>0</mn></math></span>, was resolved by Lillo, and the mixed feedback analog was recently set as an open problem. In this paper, we resolve the case of mixed feedback, obtaining results in support of the conjecture of Buchanan and Lillo, underlining its link to the symmetry of the periodic solution. In particular, we obtain and describe the optimal estimates on the necessary delay for existence of periodic (more generally, nonvanishing) solutions, with respect to the period (oscillation speed). These apply to almost any first-order delay system, as we consider the general nonautonomous case, under minimal assumptions of measurability of the parameters. We furthermore discuss and elucidate the relations between the periodic and the nonautonomous case.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129376"},"PeriodicalIF":3.5,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526706","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}
引用次数: 0
Experience-driven learning and interactive rules under link weight adjustment promote cooperation in spatial prisoner's dilemma game 链接权重调整下的经验驱动学习和互动规则促进空间囚徒困境博弈中的合作
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-02-28 DOI: 10.1016/j.amc.2025.129381
Shounan Lu , Yang Wang
{"title":"Experience-driven learning and interactive rules under link weight adjustment promote cooperation in spatial prisoner's dilemma game","authors":"Shounan Lu ,&nbsp;Yang Wang","doi":"10.1016/j.amc.2025.129381","DOIUrl":"10.1016/j.amc.2025.129381","url":null,"abstract":"<div><div>Drawing on social learning theory, which emphasizes the dual influence of direct and indirect experience on behavior, this study extends the Spatial Prisoner's Dilemma game framework through three key innovations. First, we develop a link weight adjustment mechanism that incorporates tolerance, a previously neglected factor. Second, we extend the interaction probability model by integrating both direct and indirect link weights. Third, we design a strategy update rule where behavioral adaptation depends on combined experience learning. Simulation results show that our approach significantly outperforms traditional models in promoting cooperation. In particular, we identify an inverse relationship between tolerance and cooperation levels, with reduced defection sensitivity effectively protecting cooperators from exploitation. Furthermore, indirect experiences prove more powerful than direct interactions in sustaining cooperation. Together, these mechanisms increase cooperators' payoffs and competitive advantage. Integrating both direct and indirect experiences into policy updates offers a more comprehensive approach to addressing complex social challenges, as it enables decision-makers to leverage both personal insights and collective wisdom for more effective solutions.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"497 ","pages":"Article 129381"},"PeriodicalIF":3.5,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143511599","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}
引用次数: 0
Bounded consensus in second-order uncertain nonlinear multiagent systems: A distributed neural network control approach 二阶不确定非线性多智能体系统的有界一致:一种分布式神经网络控制方法
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-02-28 DOI: 10.1016/j.amc.2025.129369
Chaoyang Li , Shidong Zhai , Yuanshi Zheng
{"title":"Bounded consensus in second-order uncertain nonlinear multiagent systems: A distributed neural network control approach","authors":"Chaoyang Li ,&nbsp;Shidong Zhai ,&nbsp;Yuanshi Zheng","doi":"10.1016/j.amc.2025.129369","DOIUrl":"10.1016/j.amc.2025.129369","url":null,"abstract":"<div><div>This paper explores the consensus issue in second-order generalized nonlinear multiagent systems (MAS) that involve uncertain nonlinear dynamics and external disturbances from the system. Suppose that the uncertain nonlinear terms can be approximated by neural networks with nonlinear residues. Through the incorporation of localized adaptive observer and disturbance observer for each agent, we propose a distributed adaptive protocol to promote bounded consensus (BC) in the network. Due to the use of saturated functions and adaptive gains in the protocol, the chattering phenomenon is weakened. Finally, two simulation examples verify the results of the fully distributed adaptive bounded consensus protocol.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129369"},"PeriodicalIF":3.5,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143527310","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}
引用次数: 0
How predator harvesting affects prey-predator dynamics in deterministic and stochastic environments? 在确定性和随机环境中,捕食者的捕获如何影响捕食者-猎物动力学?
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-02-28 DOI: 10.1016/j.amc.2025.129380
Bapin Mondal , Sayan Mandal , Pankaj Kumar Tiwari , Ranjit Kumar Upadhyay
{"title":"How predator harvesting affects prey-predator dynamics in deterministic and stochastic environments?","authors":"Bapin Mondal ,&nbsp;Sayan Mandal ,&nbsp;Pankaj Kumar Tiwari ,&nbsp;Ranjit Kumar Upadhyay","doi":"10.1016/j.amc.2025.129380","DOIUrl":"10.1016/j.amc.2025.129380","url":null,"abstract":"<div><div>This study investigates the dynamics of predator-prey interactions in both deterministic and stochastic environments, with a focus on the ecological implications of predator harvesting. Theoretical and numerical analyses explore local stability, bifurcations, and bionomic equilibria to identify sustainable harvesting strategies. Our findings reveal that increasing predator harvesting rates can induce up to four interior equilibrium points via saddle-node bifurcations, including catastrophic transitions that destabilize the system. At high harvesting rates, the predator-free equilibrium becomes globally stable, while low and intermediate rates result in bistability or tristability, allowing coexistence of prey and predator populations. For the stochastic model, we derive conditions for species persistence and extinction, using the confidence ellipse method to quantify threshold noise intensities that trigger critical transitions between stable states. At low noise levels, predator and prey populations fluctuate around stable equilibria, but higher noise intensities can drive shifts to alternate states or predator extinction. The key factors influencing system dynamics include the predator's intrinsic growth rate, alternative food sources, and harvesting intensity. Our analysis underscores the vulnerability of ecological systems to stochastic disturbances and emphasizes the importance of carefully managed harvesting practices. These findings contribute to the development of strategies that balance ecological stability with economic objectives, ensuring the long-term sustainability of predator-prey populations.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129380"},"PeriodicalIF":3.5,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526704","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}
引用次数: 0
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