Communications in Nonlinear Science and Numerical Simulation最新文献

英文中文

Novel subgradient extragradient methods for equilibrium problems in Hilbert spaces 希尔伯特空间平衡问题的新次梯度外聚方法

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109777

Pham Ky Anh, Ngo Thi Thuong, Nguyen The Vinh

引用次数: 0

Lazy-Learning-Based Koopman Model Predictive Control for Synchronization of Unknown Nonlinear Systems 基于延迟学习的未知非线性系统同步库普曼模型预测控制

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109746

Xinlong Xu, Xia Huang, Qingyu Shi, Zhen Wang

引用次数: 0

Credit risk for large portfolios of green and brown loans: extending the ASRF model 大型绿色和棕色贷款组合的信用风险：扩展ASRF模型

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109750

A. Ramponi, S. Scarlatti

引用次数: 0

Lyapunov methods for dissipative Caputo fractional differential equations with two indices 双指标耗散卡普托分数阶微分方程的Lyapunov方法

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109737

Peter E. Kloeden, Doan Thai Son, Hoang The Tuan

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 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109778

Liangliang Sun, Zhaoqi Zhang

In this paper, we study a backward problem in a system controlled by two coupled time-fractional diffusion equations from the final measurement data. Firstly, we prove the well-posedness of the state problem by introducing the Riemann-Liouville weak formulation, and give some regularity results of the solution to the state problem by employing the properties of the Mittag-Leffler function. In order to solve this inverse problem, we then transform it into a least square optimization problem. Subsequently, we establish the existence of the minimizer and also prove its uniqueness and a stability estimates with respect to the input data. Finally, we provide some numerical results for the optimal control problem using the Landweber iterative method.

本文从最终测量数据出发，研究了由两个耦合时间分数扩散方程控制的系统的后向问题。首先，通过引入Riemann-Liouville弱公式证明了状态问题的适定性，并利用Mittag-Leffler函数的性质给出了状态问题解的一些正则性结果。为了解决这个反问题，我们将其转化为最小二乘优化问题。随后，我们建立了最小器的存在性，并证明了它的唯一性和一个关于输入数据的稳定性估计。最后，用Landweber迭代法给出了最优控制问题的一些数值结果。

引用次数: 0

Viscoelastic Surfactant Flowback Model with Rod-Like Micelle Leading to Differential Variational-Hemivariational Inequality 具有棒状胶束的粘弹性表面活性剂反排模型导致微分变分-半变分不等式

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109767

Yaojia Zhang, Tao Chen, Stanislaw Migórski

引用次数: 0

Extreme learning machines with decaying penalties for nonlinear partial differential equations 非线性偏微分方程的具有衰减惩罚的极限学习机

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109775

Yudong Zhou, Qinghui Zhang

引用次数: 0

A Reaction-Diffusion-Taxis Model for Toxicant-Predator-Prey Interaction Dynamics 毒物-捕食者-猎物相互作用动力学的反应-扩散-趋向性模型

IF 3.9 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-22 DOI: 10.1016/j.cnsns.2026.109760

Xiumei Deng, Qihua Huang, Hai-Yang Jin

引用次数: 0

Stabilized exponential-SAV schemes preserving energy stability and maximum bound principle for ternary Allen-Cahn equations 保持三元Allen-Cahn方程能量稳定的稳定指数- sav格式和最大界原理

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-21 DOI: 10.1016/j.cnsns.2026.109776

Zirui Du, Tianliang Hou

In this paper, we present first- and second-order stabilized exponential-SAV (sESAV) schemes preserving energy stability and maximum bound principle (MBP) for ternary Allen-Cahn equations. We prove that the first-order sESAV (sESAV1) scheme unconditionally preserves the discrete MBP and energy stability, the second-order sESAV (sESAV2) scheme preserves energy stability unconditionally and the discrete MBP under a constraint on temporal step size τ. Optimal L^∞ error estimates for sESAV1 and sESAV2 are rigorously analyzed. To the best of our knowledge, it is the first time to discuss L^∞ error estimates for SAV-type schemes. Several numerical experiments are performed to verify the validity of our schemes.

本文给出了一阶和二阶稳定指数sav （sESAV）格式，该格式保持了三元Allen-Cahn方程的能量稳定性和最大界原理（MBP）。证明了一阶sESAV （sESAV1）方案无条件保持离散MBP和能量稳定性，二阶sESAV （sESAV2）方案在时间步长τ约束下无条件保持能量稳定性和离散MBP。严格分析了sESAV1和sESAV2的最优L∞误差估计。据我们所知，这是第一次讨论sav型方案的L∞误差估计。通过数值实验验证了所提方案的有效性。

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 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-01-20 DOI: 10.1016/j.cnsns.2026.109766

Fei Yan , Hao Wang , Yingmin Yi

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.

提出了一种新的具有独立时变参数的无模型自适应控制（mfacc - itvp）框架，用于非线性多智能体系统（MASs）的控制。与需要全局同构控制器参数的传统MFAC方案不同，该框架允许每个智能体通过独立演化的时变参数自主调整其控制器增益。这种独立性显著增强了适应性和鲁棒性，特别是在动态通信拓扑和不同代理参与的情况下。通过动态线性化将非线性智能体动力学转化为局部数据驱动的线性模型，建立了一种完全分布式的控制律，该控制律仅依赖于局部输入输出数据，无需任何先验模型知识。严格的理论分析证明了广义Lipschitz条件下最大范数意义上的收敛性和稳定性。在固定拓扑和切换拓扑下的大量仿真验证了所提出的MFAC- itvp方法与传统的MFAC方法相比具有更快的收敛速度和更强的抗干扰能力。

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引用次数: 0

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