Communications in Nonlinear Science and Numerical Simulation最新文献_第10页

A class of flexible and efficient partitioned Runge-Kutta-Chebyshev methods for some time-dependent partial differential equations 一类灵活有效的时变偏微分方程的分块龙格-库塔-切比雪夫方法

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-14 DOI: 10.1016/j.cnsns.2026.109643

Xiao Tang , Junwei Huang

引用次数: 0

Stability of the ideal magnetohydrodynamic equations with horizontal dissipation 考虑水平耗散的理想磁流体动力学方程的稳定性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-25 DOI: 10.1016/j.cnsns.2026.109792

Bo Xu , Fan Wu , Jiang Zhou

引用次数: 0

Time-fractional diffusion problem with fixed memory length in 1D finite space domain: Exact and approximate solutions 一维有限空间域上具有固定记忆长度的时间分数扩散问题：精确解和近似解

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-11 DOI: 10.1016/j.cnsns.2026.109739

Malgorzata Klimek , Tomasz Blaszczyk

引用次数: 0

Finite-time H∞ boundedness of delayed interconnected systems using sliding mode control with partitioned interval strategy 时滞互联系统的有限时间H∞有界性滑模控制与分区区间策略

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-11 DOI: 10.1016/j.cnsns.2026.109673

Ayyappan N , Gunasekaran Nallappan , Manivannan A , Lakshmanan S

{"title":"Finite-time H∞ boundedness of delayed interconnected systems using sliding mode control with partitioned interval strategy","authors":"Ayyappan N , Gunasekaran Nallappan , Manivannan A , Lakshmanan S","doi":"10.1016/j.cnsns.2026.109673","DOIUrl":"10.1016/j.cnsns.2026.109673","url":null,"abstract":"<div><div>This work investigates the problem of finite-time boundedness (FTB) of interconnected systems with time delays in the interconnections, using sliding mode control (SMC) along with a partitioned interval strategy. The finite-time interval [0, <em>T</em>] is divided into two sub-intervals: <span><math><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mi>T</mi><mo>]</mo></mrow></math></span> and <span><math><mrow><mo>[</mo><mi>T</mi><mo>,</mo><mi>T</mi><mo>]</mo></mrow></math></span>, where <span><math><mrow><mi>T</mi><mo><</mo><mi>T</mi></mrow></math></span>. A novel sliding mode surface (SMS) is designed, and an equivalent control is derived from the SMS. Furthermore, an SMC with a reaching law is designed to counteract disturbances and ensure that the system reaches the SMS within a finite-time. By utilizing this property, the SMC with the reaching law is applied to the first sub interval <span><math><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mi>T</mi><mo>]</mo></mrow></math></span>, while the equivalent control derived from the SMS is applied to maintain the states within the SMS for the remaining interval <span><math><mrow><mo>[</mo><mi>T</mi><mo>,</mo><mi>T</mi><mo>]</mo></mrow></math></span>. Moreover, by considering a Lyapunov-Krasovskii functional, sufficient conditions are derived in the form of linear matrix inequalities to guarantee the <em>H</em><sub>∞</sub> FTB of the system. Finally, two examples are given to demonstrate the effectiveness of the proposed SMC and sufficient conditions, with simulation results confirming the FTB of the proposed model.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109673"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957188","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

Dynamic event-triggered anti-synchronization for Markov jump neural networks with partially unknown probabilities and cyber attacks 部分未知概率马尔可夫跳变神经网络和网络攻击的动态事件触发反同步

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-09 DOI: 10.1016/j.cnsns.2026.109656

Xuexi Zhang , Hekai Feng , Chaojie Cheng , Zhenyu Wu , Qiang Ni , Jie Tao

{"title":"Dynamic event-triggered anti-synchronization for Markov jump neural networks with partially unknown probabilities and cyber attacks","authors":"Xuexi Zhang , Hekai Feng , Chaojie Cheng , Zhenyu Wu , Qiang Ni , Jie Tao","doi":"10.1016/j.cnsns.2026.109656","DOIUrl":"10.1016/j.cnsns.2026.109656","url":null,"abstract":"<div><div>This article investigates anti-synchronization control for Markov jump neural networks with partially unknown probabilities under energy-constrained attacks. First, to deal with the mixed-type attacks and asynchronous phenomena, a controller based on the hidden Markov model with partially unknown probabilities is established. To conserve valuable communication resources and reduce the influence caused by denial of service attacks, a novel dynamic event-triggered scheme is developed, capable of predicting and adapting to malicious attack occurrences by weighting modulation. Sufficient conditions are then obtained to guarantee the drive and response systems achieve <em>H</em><sub>∞</sub> anti-synchronization by resorting to linear matrix inequalities. The effectiveness of the proposed anti-synchronization scheme is demonstrated through a numerical example. Finally, a secure communication system, leveraging the proposed anti-synchronization system, is constructed and its encryption security is analyzed with an image encryption example.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109656"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145969429","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

Backward problem in a coupled time-fractional reaction diffusion system by optimization method 用最优化方法求解耦合时间-分数反应扩散系统的逆向问题

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-22 DOI: 10.1016/j.cnsns.2026.109778

Liangliang Sun, Zhaoqi Zhang

引用次数: 0

Dynamic analysis of a stochastic three species predator-prey model with intraguild predation and predator-switching 具有内捕食和捕食切换的随机三物种捕食-食饵模型的动态分析

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-16 DOI: 10.1016/j.cnsns.2026.109748

Yonghui Lv , Hui Wang , Jian Ding , Quanxin Zhu

引用次数: 0

Prescribed performance sliding mode synchronization of chaotic systems via neural network-based disturbance observer 基于神经网络扰动观测器的混沌系统预定性能滑模同步

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-14 DOI: 10.1016/j.cnsns.2026.109753

Yiming Shang , Guangbin Cai , Xiangwei Bu , Chaoxu Mu , Tong Wu , Hui Xu

{"title":"Prescribed performance sliding mode synchronization of chaotic systems via neural network-based disturbance observer","authors":"Yiming Shang , Guangbin Cai , Xiangwei Bu , Chaoxu Mu , Tong Wu , Hui Xu","doi":"10.1016/j.cnsns.2026.109753","DOIUrl":"10.1016/j.cnsns.2026.109753","url":null,"abstract":"<div><div>In this paper, a novel prescribed performance sliding mode control strategy integrated with a neural network-based disturbance observer (NDO) is proposed to achieve fast and robust synchronization of chaotic systems. First, the synchronization error is transformed from the error domain (<em>e</em>-domain) to the performance domain (<em>ζ</em>-domain) by employing a prescribed performance function. Subsequently, based on the transformed error dynamics, a sliding mode surface that incorporates a delayed feedback term is designed. A synchronization controller is then developed based on the proposed sliding mode surface. To enhance system robustness against unknown disturbances, a neural network-based disturbance observer is introduced to estimate and compensate for uncertainties in real time. The stability of the closed-loop synchronization error system is rigorously proved based on the Lyapunov-Krasovskii (L-K) functional method. Finally, numerical simulation results are presented to demonstrate the effectiveness and superior performance of the proposed control strategy.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109753"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995148","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

Model-free adaptive control with independent time-varying parameters for containment control in multi-agent systems 多智能体系统控制的独立时变参数无模型自适应控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-20 DOI: 10.1016/j.cnsns.2026.109766

Fei Yan , Hao Wang , Yingmin Yi

{"title":"Model-free adaptive control with independent time-varying parameters for containment control in multi-agent systems","authors":"Fei Yan , Hao Wang , Yingmin Yi","doi":"10.1016/j.cnsns.2026.109766","DOIUrl":"10.1016/j.cnsns.2026.109766","url":null,"abstract":"<div><div>This paper proposes a novel model-free adaptive control with independent time-varying parameters (MFAC-ITVP) framework for containment control in nonlinear multi-agent systems (MASs). Unlike conventional MFAC schemes that require globally homogeneous controller parameters, the proposed framework allows each agent to autonomously adjust its controller gains through independently evolving time-varying parameters. This independence significantly enhances adaptability and robustness, especially under dynamic communication topologies and varying agent participation. By transforming nonlinear agent dynamics into local data-driven linear models through dynamic linearization, a fully distributed control law is developed that depends solely on local input–output data without any prior model knowledge. Rigorous theoretical analysis establishes convergence and stability in the maximum-norm sense under generalized Lipschitz conditions. Extensive simulations under both fixed and switching topologies verify that the proposed MFAC-ITVP method achieves faster convergence and stronger disturbance rejection compared with traditional MFAC approaches.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109766"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146014494","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

Approximation-free full-state error constrained distributed formation control with unified preset-time performance 具有统一预置时间性能的无逼近全状态误差约束分布式编队控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-06-01 Epub Date: 2026-01-10 DOI: 10.1016/j.cnsns.2026.109727

Yiwei Liu , Ning Pang , Ziming Wang , Xin Wang

{"title":"Approximation-free full-state error constrained distributed formation control with unified preset-time performance","authors":"Yiwei Liu , Ning Pang , Ziming Wang , Xin Wang","doi":"10.1016/j.cnsns.2026.109727","DOIUrl":"10.1016/j.cnsns.2026.109727","url":null,"abstract":"<div><div>This paper proposes a unified preset-time formation control framework for multi-input multi-output (MIMO) uncertain nonlinear systems. The framework is built upon a newly developed family of performance functions that ensure all error signals remain within prescribed boundaries and converge to arbitrarily designated sets within a preset time, independent of their initial conditions. In contrast to existing MIMO control schemes that rely on adaptive parameter estimation or disturbance observers, the proposed strategy achieves an approximation-free design, thereby simplifying the overall control architecture. To realize prescribed performance control (PPC) for agents with arbitrarily bounded initial states, a novel transformation mechanism is incorporated, which further avoids dependence on the homogeneity of agents’ dynamics. An event-triggered mechanism is also integrated to reduce communication burden between controllers and actuators, while rigorous analysis guarantees boundedness of all closed-loop signals and strictly excludes Zeno behavior. The effectiveness and advantages of the proposed approach are validated through numerical simulations of spacecraft formation control.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109727"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957223","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