Communications in Nonlinear Science and Numerical Simulation最新文献_第3页

Command filtered and observer-based adaptive neural event-triggered control for fractional-order nonlinear systems with actuator fault 带有执行器故障的分数阶非线性系统的命令滤波和基于观测器的自适应神经事件触发控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-17 DOI: 10.1016/j.cnsns.2025.108939

Xingxing You , Yifei Pu , Yanli Zou , Zixin Tang , Tao Zhao , Songyi Dian

{"title":"Command filtered and observer-based adaptive neural event-triggered control for fractional-order nonlinear systems with actuator fault","authors":"Xingxing You , Yifei Pu , Yanli Zou , Zixin Tang , Tao Zhao , Songyi Dian","doi":"10.1016/j.cnsns.2025.108939","DOIUrl":"10.1016/j.cnsns.2025.108939","url":null,"abstract":"<div><div>This paper investigates the tracking control problem for the uncertain fractional-order nonlinear systems (FONSs) with unmeasured states and unknown control gain subject to external disturbances and actuator fault, under restricted communication resources. First, the radial basis function neural networks (RBF NNs) are deployed to identify the unknown smooth nonlinear function. Subsequently, a neural network-based state observer is constructed based on this identification to estimate the unknown states of the original FONS. Then, an adaptive neural event-triggered fault-tolerant controller (ANETFTC) is developed by adopting the backstepping method, fractional-order command filter (FOCF) and Lyapunov stability theory. In the event of external disturbances and actuator fault, the designed ANETFTC not only ensures the tracking performance of uncertain FONS so that the tracking error can converge to a neighborhood near the origin but also the observer designed based on this controller can better approximate the original system states. Simulation analysis further verifies the effectiveness and availability of control strategy.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108939"},"PeriodicalIF":3.4,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144105823","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

Mittag-Leffler projective synchronization of Caputo fractional-order reaction–diffusion memristive neural networks with multi-type time delays 多时滞Caputo分数阶反应扩散记忆神经网络的Mittag-Leffler投影同步

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-16 DOI: 10.1016/j.cnsns.2025.108934

Kai Wu , Ming Tang , Han Ren

引用次数: 0

Strong convergence of inertial extragradient methods for solving pseudomonotone variational inequality problems 求解伪单调变分不等式问题的惯性梯度法的强收敛性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-16 DOI: 10.1016/j.cnsns.2025.108938

Qian Yan , Libo An , Gang Cai , Qiao-Li Dong

引用次数: 0

Capturing the short-term characteristics of a barred galaxy from a single snapshot 从一张快照中捕捉一个棒星系的短期特征

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-16 DOI: 10.1016/j.cnsns.2025.108923

P. Sánchez-Martín , J. Amorós , J.J. Masdemont

引用次数: 0

Adaptive-triggered H∞ sliding-mode optimal control for nonlinear input-limited systems 非线性输入受限系统的自适应触发H∞滑模最优控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-15 DOI: 10.1016/j.cnsns.2025.108933

Hongxu Zhang, Honggui Wang

{"title":"Adaptive-triggered H∞ sliding-mode optimal control for nonlinear input-limited systems","authors":"Hongxu Zhang, Honggui Wang","doi":"10.1016/j.cnsns.2025.108933","DOIUrl":"10.1016/j.cnsns.2025.108933","url":null,"abstract":"<div><div>This paper concentrates on the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> sliding mode optimal control (SMOC) problem for nonlinear systems with mismatched interference and constrained input. Firstly, an adaptive-triggered strategy for the discontinuous control part is employed, which can suppress input interference and the separated matched disturbances. Also, the system trajectories are guaranteed to converge to the sliding manifold. Moreover, the adaptive-triggered strategy is optimized into self-triggered strategy with the aim to avoid the real-time measurement of triggered conditions, and the minimum time interval is obtained to prevent Zeno phenomenon. Subsequently, the optimal <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> control problem of sliding motion turns into a two-person ZS game issue. To derive the solutions of event-trigger HJI equation, an adaptive dynamic programming (ADP) algorithm with critic-only structure is implemented to obtain the optimal control online. Furthermore, by utilizing the Lyapunov technique, the uniformly ultimately bounded (UUB) conditions about system state and the weight estimation error are obtained. At last, simulation outcomes are analyzed to validate the effectiveness of the control strategy.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108933"},"PeriodicalIF":3.4,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144115292","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

Jensen-distance rate for stationary time series based on cross-spectral methods 基于交叉谱方法的平稳时间序列jensen距离率

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-15 DOI: 10.1016/j.cnsns.2025.108926

Javier E. Contreras-Reyes

引用次数: 0

On the convergence of an inertial proximal algorithm with a Tikhonov regularization term 带Tikhonov正则化项的惯性近端算法的收敛性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-14 DOI: 10.1016/j.cnsns.2025.108924

Szilárd Csaba László

{"title":"On the convergence of an inertial proximal algorithm with a Tikhonov regularization term","authors":"Szilárd Csaba László","doi":"10.1016/j.cnsns.2025.108924","DOIUrl":"10.1016/j.cnsns.2025.108924","url":null,"abstract":"<div><div>This paper deals with an inertial proximal algorithm that contains a Tikhonov regularization term, in connection to the minimization problem of a convex lower semicontinuous function <span><math><mi>f</mi></math></span>. We show that for appropriate Tikhonov regularization parameters the value of the objective function in the sequences generated by our algorithm converge fast (with arbitrary rate) to the global minimum of the objective function and the generated sequences converge weakly to a minimizer of the objective function. We also obtain the fast convergence of subgradients and the discrete velocities towards zero and some sum estimates. Further, we obtain strong convergence results for the generated sequences and also fast convergence for the function values and discrete velocities for the same constellation of the parameters involved. Our analysis reveals that the extrapolation coefficient, the stepsize and the Tikhonov regularization coefficient are strongly correlated and there is a critical setting of the parameters that separates the cases when strong convergence results or weak convergence results can be obtained.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108924"},"PeriodicalIF":3.4,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067225","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

Graph limit and exponential consensus for the large-scale multi-agent system with delay 大规模时滞多智能体系统的图极限与指数一致性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-13 DOI: 10.1016/j.cnsns.2025.108919

Rundong Zhao, Yicheng Liu, Xiao Wang

引用次数: 0

Euler–Maruyama scheme for delay-type stochastic McKean–Vlasov equations driven by fractional Brownian motion 分数布朗运动驱动的延迟型随机McKean-Vlasov方程的Euler-Maruyama格式

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-13 DOI: 10.1016/j.cnsns.2025.108927

Shuaibin Gao , Qian Guo , Zhuoqi Liu , Chenggui Yuan

{"title":"Euler–Maruyama scheme for delay-type stochastic McKean–Vlasov equations driven by fractional Brownian motion","authors":"Shuaibin Gao , Qian Guo , Zhuoqi Liu , Chenggui Yuan","doi":"10.1016/j.cnsns.2025.108927","DOIUrl":"10.1016/j.cnsns.2025.108927","url":null,"abstract":"<div><div>This paper focuses on the Euler–Maruyama (EM) scheme for delay-type stochastic McKean–Vlasov equations (DSMVEs) driven by fractional Brownian motion with Hurst parameter <span><math><mrow><mi>H</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></mrow><mo>∪</mo><mrow><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>. The existence and uniqueness of the solutions to such DSMVEs whose drift coefficients contain polynomial delay terms are proved by exploiting the Banach fixed point theorem. Then the propagation of chaos between interacting particle system and non-interacting system in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span> sense is shown. We find that even if the delay term satisfies the polynomial growth condition, the unmodified classical EM scheme still can approximate the corresponding interacting particle system without the particle corruption. The convergence rates are revealed for <span><math><mrow><mi>H</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></mrow><mo>∪</mo><mrow><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>. Finally, as an example that closely fits the original equation, a stochastic opinion dynamics model with both extrinsic memory and intrinsic memory is simulated to illustrate the plausibility of the theoretical result.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108927"},"PeriodicalIF":3.4,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067176","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

Bifurcation control for the collective behavior of delayed-coupled agents via PD controller 基于PD控制器的延迟耦合主体群体行为分岔控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-13 DOI: 10.1016/j.cnsns.2025.108921

Yongjian Zhou, Tao Wang, Xingguang Peng

引用次数: 0