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

Sampled-data stabilization of Markovian jumping conic-type nonlinear systems via an augmented looped functional 马尔可夫跳变圆锥型非线性系统的增广环泛函采样数据镇定

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-04 DOI: 10.1016/j.cnsns.2025.108814

Hao Shen , Wen-Juan Lin , Zhi Lian

{"title":"Sampled-data stabilization of Markovian jumping conic-type nonlinear systems via an augmented looped functional","authors":"Hao Shen , Wen-Juan Lin , Zhi Lian","doi":"10.1016/j.cnsns.2025.108814","DOIUrl":"10.1016/j.cnsns.2025.108814","url":null,"abstract":"<div><div>This paper addresses the growing concern of stability analysis and controller design in Markovian jumping conic-type nonlinear systems, particularly in light of their increasing applications in various fields such as the optimization and motor device control systems, making the understanding of time-varying delays crucial. Utilizing variable-period mode-dependent sampled-data control, an augmented looped Lyapunov–Krasovskii (L–K) functional is constructed to accurately capture the impacts of sampling intervals and time-varying delays on system stability. The introduction of an augmented term leads to a non-convex cross-quadratic term in the derivative of the looped functional. To manage this complexity, a novel matrix inequality is proposed to effectively bound this non-convex term. By employing the free-weighting matrices method alongside the second-order canonical Bessel–Legendre inequality, sufficient conditions for system stabilization are derived, accommodating a broader range of time-varying delays and sampling intervals in the form of linear matrix inequalities (LMIs), which facilitate the determination of controller gains. Finally, a simulation of a time-delayed Chua’s circuit is presented to validate the effectiveness of these findings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108814"},"PeriodicalIF":3.4,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799895","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

Nonlinear high-dimensional flutter analyses of variable stiffness porous sandwich conical shells 变刚度多孔夹层锥形壳非线性高维颤振分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108826

Z.Q. Wang , S.W. Yang , Y.X. Hao , W. Zhang , Y. Niu

{"title":"Nonlinear high-dimensional flutter analyses of variable stiffness porous sandwich conical shells","authors":"Z.Q. Wang , S.W. Yang , Y.X. Hao , W. Zhang , Y. Niu","doi":"10.1016/j.cnsns.2025.108826","DOIUrl":"10.1016/j.cnsns.2025.108826","url":null,"abstract":"<div><div>In this work, the nonlinear flutter characteristics of the truncated porous sandwich conical shell with variable stiffness under simply supported boundary, which is placed in the thermal environment and supersonic flow, are explored. The sandwich variable stiffness conical shell is constructed of two carbon fiber surface sheets and a porous core with aluminum foam, which has the exponential variable thickness along the longitudinal direction and five various styles of porosity distribution schemes along the thickness direction. The supersonic aerodynamic pressure is presented by utilizing the first-order piston theory considering the curvature effect. By means of the first-order shear deformation theory (FSDT), Hamilton's principle and Galerkin technique, the high-dimensional nonlinear variable stiffness second-order ordinary differential equations of motion are derived. The critical flutter points can be determined and flutter boundaries can be examined by addressing the linear eigenvalue problem. By applying the fourth-order Runge-Kutta approach, the influences of the exponent of thickness function, porosity distribution pattern, porosity coefficient, semi-vertex angle, temperature increment, total number of layers, fiber orientation angle, the core layer's minimum radius-thickness ratio and length-thickness ratio, on nonlinear flutter behaviors are analyzed in depth. The results reveal that the porous varying thickness sandwich conical shell with Style-O distribution and 0° fiber orientation angle is a better choice for high stability against flutter, and linear flutter analysis can be chosen to explore the flutter boundary by further comparison.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108826"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791657","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 model of air spring based McKibben pneumatic artificial muscle 基于空气弹簧的McKibben气动人工肌肉动力学模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108829

V.C. Trinh , N.Y.P. Vo , T.T. Luu , T.D. Le

{"title":"Dynamic model of air spring based McKibben pneumatic artificial muscle","authors":"V.C. Trinh , N.Y.P. Vo , T.T. Luu , T.D. Le","doi":"10.1016/j.cnsns.2025.108829","DOIUrl":"10.1016/j.cnsns.2025.108829","url":null,"abstract":"<div><div>It is necessary to have an accurate nonlinear dynamic model for purpose of design of optimization of systems constructed by pneumatic artificial muscles (PAM) based on McKibben structure. Hence, this paper will develop an accurate dynamic model of PAM. As known, PAM tube is made of the rubber and it is also reinforced by metal fibers wrapping around the tube. In order to study comprehensively, the prediction model will consider the effects of the thermodynamic of air inside PAM, simultaneously the effects of friction between fibers and rubber, and viscoelasticity of the PAM tube material are taken account into. Firstly, the structure parameters of the proposed model comprising the effectiveness volume and its rates will be attained through geometrical analysis and experimental evaluation. Then, the effects of friction and viscoelasticity of the PAM tube on the hysteresis dynamic response of PAM will be also taken into account through proposing the hysteresis dynamic model including a fractional Maxwell model parallel with smooth friction model. From dynamic analysis, the dynamic stiffness model is attained and analyzed in domain frequency comprising the storage stiffness and loss stiffness. Finally, comparison between the proposed model and experimental results is realized subjected to harmonic displacement excitation. The results proved the effectiveness of the proposed model. The studied finding is useful insight into applications of PAM in vibration isolator as well as other engineering purposes.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108829"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799894","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

Synchronization of Markovian reaction–diffusion neural networks in complex noise settings: A Time-Space control approach 复杂噪声环境下马尔可夫反应-扩散神经网络的同步：一种时空控制方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108800

Guoyi Li , Jun Wang , Kaibo Shi , Xiao Cai , Shiyu Dong , Shiping Wen

{"title":"Synchronization of Markovian reaction–diffusion neural networks in complex noise settings: A Time-Space control approach","authors":"Guoyi Li , Jun Wang , Kaibo Shi , Xiao Cai , Shiyu Dong , Shiping Wen","doi":"10.1016/j.cnsns.2025.108800","DOIUrl":"10.1016/j.cnsns.2025.108800","url":null,"abstract":"<div><div>In this article, the synchronization issue of Markovian neural networks with reaction–diffusion phenomena (RDMNNs) in complex noise environments is studied. Firstly, Lévy noise is incorporated into the model as the stochastic noise source for the system, and the impact of different noise intensities on the stability of the error system is analyzed. Furthermore, the dynamic changes in system parameters are analyzed using Markovian switching theory. Secondly, a Time-Space sampled control (TSSC) strategy is adopted, which integrates time and space dimensional information to address the challenges of diffusion phenomena. This control strategy expands the control dimensions of the controller and enhances the efficiency of system information utilization. Subsequently, an appropriate Lyapunov-Krasovskii functional (LKF) is constructed and Itô formula is employed to derive a less conservative synchronization criterion for both the master and slave systems. In the end, a numerical example is given to verify and support the validity of the theoretical result obtained from the derivation.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108800"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791656","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

Command filter approximator-based fixed-time fuzzy control for uncertain nonlinear systems with input saturation 输入饱和不确定非线性系统的命令滤波逼近定时模糊控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108808

Chen Wang , Qing Guo , Haoran Zhan , Wei Li , Tieshan Li

{"title":"Command filter approximator-based fixed-time fuzzy control for uncertain nonlinear systems with input saturation","authors":"Chen Wang , Qing Guo , Haoran Zhan , Wei Li , Tieshan Li","doi":"10.1016/j.cnsns.2025.108808","DOIUrl":"10.1016/j.cnsns.2025.108808","url":null,"abstract":"<div><div>This paper proposes a command filter approximator-based fixed-time fuzzy control (CFTFC) method for <span><math><mi>n</mi></math></span>-dimensional nonlinear systems subject to function uncertainties, input saturation, and external disturbances. Command filter approximators are designed to provide differential estimations for the <span><math><mi>j</mi></math></span>th <span><math><mrow><mo>(</mo><mi>j</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>…</mo><mo>,</mo><mi>n</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow></math></span> subsystem of the error system, addressing both function uncertainties and the complex explosive problem (CEP). Additionally, a single fuzzy logic system approximator is designed to approximate the unknown composite function, which includes the <span><math><mi>n</mi></math></span>th function uncertainty, the derivative of the <span><math><mrow><mo>(</mo><mi>n</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow></math></span>th virtual controller, and other system signals. Moreover, a smooth function is used to estimate the non-smooth input saturation. Based on these considerations, a fuzzy adaptive fixed-time controller is then designed. Rigorous theoretical analysis shows that all error signals converge to a neighborhood of the origin within a fixed time, regardless of the initial system states. Finally, comparative simulation experiments verify the effectiveness of the proposed controller.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108808"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807456","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

Impact of network heterogeneity on neuronal synchronization 网络异质性对神经元同步的影响

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-03 DOI: 10.1016/j.cnsns.2025.108810

Javier Used , Jesús M. Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A.F. Sanjuán

{"title":"Impact of network heterogeneity on neuronal synchronization","authors":"Javier Used , Jesús M. Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A.F. Sanjuán","doi":"10.1016/j.cnsns.2025.108810","DOIUrl":"10.1016/j.cnsns.2025.108810","url":null,"abstract":"<div><div>Synchronization dynamics is a phenomenon of great interest in many fields of science. One of the most important fields is neuron dynamics, as synchronization in certain regions of the brain is related to some of the most common mental illnesses. To study the impact of the network heterogeneity in the neuronal synchronization, we analyze a small-world network of non-identical Chialvo neurons that are electrically coupled. We introduce a mismatch in one of the model parameters to introduce the heterogeneity of the network. Our study examines the effects of this parameter mismatch, the noise intensity in the stochastic model, and the coupling strength between neurons on synchronization and firing frequency. We have identified critical values of noise intensity, parameter mismatch, and rewiring probability that facilitate effective synchronization within the network. Furthermore, we observe that the balance between excitatory and inhibitory connections plays a crucial role in achieving global synchronization. Our findings offer insights into the mechanisms driving synchronization dynamics in complex neuron networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108810"},"PeriodicalIF":3.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143769340","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

Relaxed inertial subgradient extragradient methods for equilibrium problems in Hilbert spaces and their applications to image restoration 希尔伯特空间平衡问题的松弛惯性次梯度法及其在图像恢复中的应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108795

Habib ur Rehman , Bing Tan , Jen-Chih Yao

引用次数: 0

Information dissemination and phase transition in fractal social networks 分形社会网络中的信息传播与相变

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108812

Li Luo, Fuzhong Nian, Fangfang Li, Yuanlin Cui

{"title":"Information dissemination and phase transition in fractal social networks","authors":"Li Luo, Fuzhong Nian, Fangfang Li, Yuanlin Cui","doi":"10.1016/j.cnsns.2025.108812","DOIUrl":"10.1016/j.cnsns.2025.108812","url":null,"abstract":"<div><div>Fractals are a common geometric structure in nature, exhibiting the rich complexity and regularity of the physical world. In the study of complex networks, the self-similarity and multi-layered characteristics of fractal networks make them an ideal model for investigating information dissemination mechanisms. This paper constructs a fractal social network with three-layer granularity structure and proposes a novel dynamic fractal propagation model: F-SI model, in order to explore the factors influencing information propagation and the phase transition phenomena in fractal social networks. In the propagation model, node interest and node contribution are introduced to measure the cumulative impact and propagation probability of nodes in networks of different granularities, and to explore the dynamics of information dissemination under different conditions. The experiments show that information dissemination in fractal social networks exhibits the staircase propagation and phase transition phenomenon. The phase transition is closely related to the group structure and infection density of networks with varying granularities. Research indicates that controlling the propagation speed is more effective in curbing information dissemination in fractal network than controlling the propagation scope. This study provides theoretical guidance for controlling the spread of epidemics and public opinion in networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108812"},"PeriodicalIF":3.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760563","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 and stabilization of set differential systems with non-instantaneous impulses 非瞬时脉冲集合微分系统的稳定性与稳定化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108807

Peiguang Wang , Mengyu Guo , Wenli Wang

引用次数: 0

Zero-sum games-based optimal fault tolerant control for control-constrained multiplayer systems with external disturbances via adaptive dynamic programming 基于自适应动态规划的控制约束多人系统零和博弈最优容错控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-02 DOI: 10.1016/j.cnsns.2025.108804

Shihui Liu , Ning Xu , Lun Li , Khalid H. Alharbi , Xudong Zhao

{"title":"Zero-sum games-based optimal fault tolerant control for control-constrained multiplayer systems with external disturbances via adaptive dynamic programming","authors":"Shihui Liu , Ning Xu , Lun Li , Khalid H. Alharbi , Xudong Zhao","doi":"10.1016/j.cnsns.2025.108804","DOIUrl":"10.1016/j.cnsns.2025.108804","url":null,"abstract":"<div><div>In this paper, the optimal fault tolerant control problem is investigated for constrained multiplayer systems with external disturbances and completely unknown dynamics. According to games theory, each control player along with its corresponding fault player and disturbance player can be regarded as a two-player zero-sum game, respectively. To release the restriction on the system dynamics, a neural network-based system identification technique is employed to reconstruct the completely unknown system models. A new nonquadratic function is constructed to incorporate the control constraints into the optimization, and the corresponding constrained Hamilton–Jacobi-Isaacs equations (HJIEs) are derived. Then, the constrained HJIEs are solved by adopting a single critic neural network, where an experience replay technique is utilized to exclude the persistence of excitation condition. Furthermore, all signals of the close-loop system are proven to be uniformly ultimately bounded based on the Lyapunov stability theory. Finally, two examples are presented to verify the effectiveness of the developed optimal zero-sum games scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108804"},"PeriodicalIF":3.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143776646","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