{"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}
{"title":"Stability of stochastic time-varying delay continuous system uniting event trigger switching control","authors":"Zhenyue Wang , Quanxin Zhu","doi":"10.1016/j.cnsns.2025.108703","DOIUrl":"10.1016/j.cnsns.2025.108703","url":null,"abstract":"<div><div>The main objective of this article is to discuss the problem of finite-time stochastic input-to-state stability for a kind of stochastic delay continuous system with time-varying delay. By applying Lyapunov-Razumikhin functions as candidate functions, several sufficient criteria to ensure system stability are established. Different from the content of previous achievements, the event trigger switching control is investigated in the switching behavior among subsystems in this article. Further, the Zeno phenomenon is ruled out, that is, the gap between any adjacent switching points should be greater than a positive constant. Compared with the time trigger switching control, the advantage of the event trigger switching control is that the target system undergoes switching behavior when the event trigger conditions are satisfied. Moreover, the delay factor of continuous subsystems is contained within event trigger conditions to determine the switching time. Finally, two numerical simulations are displayed to validate our results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108703"},"PeriodicalIF":3.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143511287","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}
Shi Li , Hongxiang Dai , Guobao Liu , Wenmin He , Ju H. Park
{"title":"Decentralized adaptive interval type-2 fuzzy fixed-time event-triggered control for switched interconnected nonlinear systems via state-dependent switchings","authors":"Shi Li , Hongxiang Dai , Guobao Liu , Wenmin He , Ju H. Park","doi":"10.1016/j.cnsns.2025.108712","DOIUrl":"10.1016/j.cnsns.2025.108712","url":null,"abstract":"<div><div>In this paper, a decentralized adaptive fuzzy fixed-time event-triggered control method is investigated for switched nonlinear interconnected systems (SNISs) under state-dependent switchings (SDSs). To deal with the problem that all the subsystems may be unstabilizable, the state-dependent switching method is introduced. The unknown nonlinear functions are approximated by interval type-2 fuzzy logic systems (IT2 FLSs). To guarantee the system’s convergent performance, a novel fixed-time event-triggered control scheme with a switching threshold event-triggering mechanism (ETM), which can exclude the singularity problem, is introduced. It is proven that all the states of the SNISs can be bounded in a fixed time. The lower bound of the event-triggering intervals is derived to rule out the Zeno behaviors. Finally, the simulation examples are presented to illustrate the effectiveness of the proposed control method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108712"},"PeriodicalIF":3.4,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143511288","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}
Anna Feng , Jie Zhong , Amol Yerudkar , Hongwei Chen , Jiahao Wu
{"title":"Event-triggered output feedback stabilization of Boolean control networks via Ledley solution","authors":"Anna Feng , Jie Zhong , Amol Yerudkar , Hongwei Chen , Jiahao Wu","doi":"10.1016/j.cnsns.2025.108710","DOIUrl":"10.1016/j.cnsns.2025.108710","url":null,"abstract":"<div><div>This paper delves into the stabilization of Boolean control networks (BCNs) through leveraging ideas from event-triggered output feedback control and the Ledley antecedence solution methodology. Initially, one necessary and sufficient criterion is proposed to examine the stabilization of BCNs via the reachable sets established by Ledley antecedence solution. Subsequently, based on the reachable set and Ledley antecedence solution, the output control sets are established to construct the output feedback control, along with a strategy for designing the corresponding output feedback matrix. Additionally, a sufficient condition to ensure output feedback stabilization employing an event-triggered mechanism is derived, and an algorithm for formulating event-triggered output feedback control is outlined. Finally, to demonstrate the efficacy of this approach proposed in this paper, simulations are conducted to validate the effectiveness of the obtained main results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108710"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143478848","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":"Identifying ballistic modes via Poincaré sections","authors":"A.F. Bósio , I.L. Caldas , R.L. Viana , Y. Elskens","doi":"10.1016/j.cnsns.2025.108722","DOIUrl":"10.1016/j.cnsns.2025.108722","url":null,"abstract":"<div><div>Exploring chaotic systems via Poincaré sections has proven essential in dynamical systems, yet measuring their characteristics poses challenges to identify the various dynamical regimes considered. In this paper, we propose a new approach that uses image processing to classify the transport regime. We characterize different transport regimes in the standard map with the proposed method based on image reconstruction techniques, identifying the superdiffusion through the identification of ballistic modes, a method that requires less iterations than the usual mean square displacement method. The procedure is also applied to a two-wave, time-dependent Hamiltonian to investigate superdiffusion in function of two parameters.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108722"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507502","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":"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}
{"title":"Global exponential synchronization of delayed reaction–diffusion complex-valued neural networks with leakage term and discontinuous activations","authors":"Yinjie Qian, Yuanhua Qiao","doi":"10.1016/j.cnsns.2025.108687","DOIUrl":"10.1016/j.cnsns.2025.108687","url":null,"abstract":"<div><div>Exponential synchronization for a class of delayed discontinuous complex-valued neural networks (CVNNs) with leakage delay and diffusion effects is investigated in this paper. First, CVNNs are separated into real and imaginary parts, an equivalent real-valued subsystems are obtained for the analysis. Then, some novel and flexible algebraic criteria are established to ensure the exponential synchronization of the discontinuous CVNNs by designing feedback and adaptive control, which improves the control performance, and the control parameters are adjusted automatically. Compared with the previous research, the proposed neural network models are more practical and realistic, and the obtained results take into account the impacts brought by reaction diffusion, discontinuity activations, leakage delay and complex values simultaneously, and the research enrich the previously analysis. Finally, a numerical simulation is presented to verify the effectiveness and applicability of the developed theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108687"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487668","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":"Decoupled, time-marching scheme with relaxation for flow coupled with Cahn–Hilliard surfactant model","authors":"Yanyao Wu , Zhijun Tan","doi":"10.1016/j.cnsns.2025.108717","DOIUrl":"10.1016/j.cnsns.2025.108717","url":null,"abstract":"<div><div>We study a fluid-surfactant phase-field system under two types of fluid flow models: one consisting of two Cahn–Hilliard equations coupled with the Navier–Stokes equations, and the other consisting of two Cahn–Hilliard equations coupled with the Darcy equations. We apply the scalar auxiliary variable approach and the pressure correction method to develop a linear, fully decoupled, and second-order time-accurate numerical scheme. Additionally, a relaxation technique is introduced to improve the consistency between the discrete modified energy and the original energy. The consistency between the discrete auxiliary variable and its actual value is also improved. All variables are decoupled and can be computed sequentially. The relaxation technique is practical to implement. The unique solvability and modified energy dissipation property of the semi-discrete scheme are further proved. Numerical simulations are presented to investigate the motions of the interfaces with surfactant under shear flow or in a porous medium in two-dimensional and three-dimensional space.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108717"},"PeriodicalIF":3.4,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487655","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}
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}
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}