Communications in Nonlinear Science and Numerical Simulation最新文献_第7页

Stabilization of nonlinear Timoshenko system just with local damping and local coupling effects acting on arbitrarily chosen subintervals

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-26 DOI: 10.1016/j.cnsns.2025.108721

Kun-Peng Jin , Jin Liang , Ti-Jun Xiao

{"title":"Stabilization of nonlinear Timoshenko system just with local damping and local coupling effects acting on arbitrarily chosen subintervals","authors":"Kun-Peng Jin , Jin Liang , Ti-Jun Xiao","doi":"10.1016/j.cnsns.2025.108721","DOIUrl":"10.1016/j.cnsns.2025.108721","url":null,"abstract":"<div><div>We are concerned with the stabilization of nonlinear Timoshenko system just with local damping and local coupling effects, which come from the local memory/frictional terms and local coupling terms, acting on arbitrarily chosen subintervals. Especially, the subintervals do not necessarily include the ends and intersect each other, unlike what is usually required. For this challenging problem, we successfully establish a stability theorem with the exact uniform decay rates for the solutions to this system with the help of some specially designed analysis approaches for the problem. Also, polynomial/exponential decay rates are obtained, when the memory kernels decay polynomially/exponentially. Our results reveal an important phenomenon that for the nonlinear Timoshenko system, local coupling and damping effects are enough to produce an entire dissipation mechanism as those for the case of the global coupling and damping effects, and the same decay rates can be obtained. Moreover, under quite weak conditions on the memory kernels, our stability theorem gives stronger conclusions than the previous corresponding results, whether global or local memory effect is concerned.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108721"},"PeriodicalIF":3.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143511289","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

Stability of stochastic time-varying delay continuous system uniting event trigger switching control

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-26 DOI: 10.1016/j.cnsns.2025.108703

Zhenyue Wang , Quanxin Zhu

引用次数: 0

Decentralized adaptive interval type-2 fuzzy fixed-time event-triggered control for switched interconnected nonlinear systems via state-dependent switchings

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-26 DOI: 10.1016/j.cnsns.2025.108712

Shi Li , Hongxiang Dai , Guobao Liu , Wenmin He , Ju H. Park

引用次数: 0

Event-triggered output feedback stabilization of Boolean control networks via Ledley solution

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108710

Anna Feng , Jie Zhong , Amol Yerudkar , Hongwei Chen , Jiahao Wu

引用次数: 0

Identifying ballistic modes via Poincaré sections

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108722

A.F. Bósio , I.L. Caldas , R.L. Viana , Y. Elskens

引用次数: 0

Self-oscillation-driven locomotion in a liquid crystal elastomer-based robot under constant illumination

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108706

Dali Ge , Wu Bao , Kai Li , Haiyi Liang

{"title":"Self-oscillation-driven locomotion in a liquid crystal elastomer-based robot under constant illumination","authors":"Dali Ge , Wu Bao , Kai Li , Haiyi Liang","doi":"10.1016/j.cnsns.2025.108706","DOIUrl":"10.1016/j.cnsns.2025.108706","url":null,"abstract":"<div><div>A vibration-driven locomotion robot, excited by periodic time-varying excitations has recently been studied and developed, which requires a complex controller. To simplify the control scheme, this article constructs a self-oscillation-driven locomotion in a liquid crystal elastomers (LCE)-based robot under constant illumination. This system consists of a robot's body and a self-oscillating LCE strip-spring oscillator. Based on the evolution of photothermal temperature, the control equations for the self-oscillation-driven locomotion robot are derived. Through numerical calculations, two patterns are identified, namely, the static pattern and the self-locomotion pattern, and the mechanism of self-locomotion is revealed. In each cycle of self-oscillation, the photothermal-driven contraction and relaxation of the LCE strip are asymmetric, generating a net displacement and enabling the robot to achieve locomotion driven by the self-oscillating oscillator. In addition, the effects of various system parameters on the amplitude and frequency of self-oscillation, as well as the average velocity of self-locomotion, are numerically evaluated. The self-oscillation-driven locomotion robot features inherent asymmetry and autonomous control, operating without the need for an additional controller. This makes it well-suited for applications in medical care, adaptive robotics, and artificial intelligence.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108706"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143520326","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

Global exponential synchronization of delayed reaction–diffusion complex-valued neural networks with leakage term and discontinuous activations

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108687

Yinjie Qian, Yuanhua Qiao

引用次数: 0

Decoupled, time-marching scheme with relaxation for flow coupled with Cahn–Hilliard surfactant model

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108717

Yanyao Wu , Zhijun Tan

引用次数: 0

Prescribed-time tracking synchronization of Kuramoto oscillator networks with directed graphs via sine function-based control protocol

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108691

Shanshan Peng , Jianquan Lu , Yishu Wang , Jürgen Kurths

{"title":"Prescribed-time tracking synchronization of Kuramoto oscillator networks with directed graphs via sine function-based control protocol","authors":"Shanshan Peng , Jianquan Lu , Yishu Wang , Jürgen Kurths","doi":"10.1016/j.cnsns.2025.108691","DOIUrl":"10.1016/j.cnsns.2025.108691","url":null,"abstract":"<div><div>This paper investigates the prescribed-time tracking synchronization (PTS) of Kuramoto oscillator networks (KONs) with directed graphs. Existing control protocols for achieving KONs’ synchronization within a finite time are based on linear or power functions of phase differences, but they ignore the <span><math><mrow><mn>2</mn><mi>π</mi></mrow></math></span>-periodicity of phase oscillators. This leads to desynchronization and dramatic phase changes, increasing system load, failure rates, and control costs. To overcome these drawbacks, we propose a sine function-based protocol, incorporating the periodicity of oscillators, to achieve tracking synchronization within a prescribed time. Then a new cosine-based error variable is introduced to characterize the degree of tracking synchronization. By leveraging the error variable and constructing an ingenious Lyapunov function, we establish relaxed criteria for achieving PTS of KONs with the proposed protocol. The condition of the graph containing a directed spanning tree is the weakest, and the initial phases can be almost global. Moreover, we demonstrate the boundedness of the protocol. Finally, numerical simulations validate our results’ effectiveness and superiority compared in others.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108691"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507503","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

Decentralized sampled-data H∞ fuzzy filtering for nonlinear interconnected systems with uncertain interconnections

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-25 DOI: 10.1016/j.cnsns.2025.108690

Zhilian Yan , Shangchun Mao , Cheng Qian , Weipeng Tai , Qingkai Kong , Jianping Zhou

{"title":"Decentralized sampled-data H∞ fuzzy filtering for nonlinear interconnected systems with uncertain interconnections","authors":"Zhilian Yan , Shangchun Mao , Cheng Qian , Weipeng Tai , Qingkai Kong , Jianping Zhou","doi":"10.1016/j.cnsns.2025.108690","DOIUrl":"10.1016/j.cnsns.2025.108690","url":null,"abstract":"<div><div>This paper is devoted to decentralized sampled-data <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> fuzzy filtering with exponential time-variant gains (ETGs) for nonlinear interconnected systems subject to uncertain interconnections. Both the interconnected system and the desired decentralized filter are modeled as Takagi–Sugeno fuzzy systems. An alternative approach to the usual coordinate transformation method is introduced to design the fuzzy filter with ETGs by constructing a time- and tuning parameter-dependent function in the framework of aperiodic sampling. By the newly constructed function, a sufficient condition is established to ensure that the augmented error system is exponentially stable with an <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance index. Based on the condition, a desired filter design including ETGs is developed in terms of linear matrix inequalities. Finally, through a simulation example, it is demonstrated that the alternative approach is effective for the filter design and the proposed filter can entail a visible extension of the sampling interval and an enhancement in the disturbance rejection.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108690"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487657","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