Communications in Nonlinear Science and Numerical Simulation最新文献

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Fixed-time synchronization of nonlinear coupling MNNs with time delay via aperiodically intermittent sliding mode control 基于非周期间歇滑模控制的时滞非线性耦合mnn的定时同步
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI: 10.1016/j.cnsns.2025.108995
Qunsheng Zhang, Jianqiang Hu, Jinde Cao
{"title":"Fixed-time synchronization of nonlinear coupling MNNs with time delay via aperiodically intermittent sliding mode control","authors":"Qunsheng Zhang,&nbsp;Jianqiang Hu,&nbsp;Jinde Cao","doi":"10.1016/j.cnsns.2025.108995","DOIUrl":"10.1016/j.cnsns.2025.108995","url":null,"abstract":"<div><div>This paper delves into the fixed-time synchronization (FxTS) issue for nonlinear coupling memristive neural networks (MNNs) through aperiodically intermittent sliding mode control (SMC), with a particular focus on the fixed-time external synchronization of two nonlinearly coupling systems that incorporate time delays. Differential inequalities, crafted to apply aperiodically intermittent SMC, couple with fixed-time stability theory and custom Lyapunov functions to yield sufficient conditions for MNNs’ FxTS. This establishes that the sliding mode manifold can be reached in the fixed-time, underpinning a control strategy that ensures MNNs’ dynamics converge to a specified manifold within the settling time (TST), defining a lower limit for convergence time. Unlike prevailing literature, this research introduces the utilization of aperiodically intermittent adjustment feedback control in tandem with SMC to guide MNNs towards FxTS. In conclusion, two demonstrative examples are provided to showcase the efficacy of the proposed algorithm.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108995"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289915","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
Region-reaching control for multiple underactuated Euler-Lagrange systems based on energy-shaping framework 基于能量整形框架的多欠驱动欧拉-拉格朗日系统区域逼近控制
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI: 10.1016/j.cnsns.2025.109020
Bin Zheng , Jinchen Ji , Runlong Peng , Zhonghua Miao , Jin Zhou
{"title":"Region-reaching control for multiple underactuated Euler-Lagrange systems based on energy-shaping framework","authors":"Bin Zheng ,&nbsp;Jinchen Ji ,&nbsp;Runlong Peng ,&nbsp;Zhonghua Miao ,&nbsp;Jin Zhou","doi":"10.1016/j.cnsns.2025.109020","DOIUrl":"10.1016/j.cnsns.2025.109020","url":null,"abstract":"<div><div>This paper presents a first attempt to address the distributed region-reaching control problems of multiple underactuated Euler-Lagrange systems (MUELSs) within an energy-shaping framework. An adaptive gain technique incorporating the region potential function is suitably introduced to design a distributed region-reaching control scheme by the best use of the passivity-based control (PBC) framework with damping injection. Additionally, the underactuated Euler-Lagrange (EL) dynamics are utilized to systematically integrate the energy of the system model and adaptive controller dynamics. Consequently, two independent region-reaching algorithms for MUELSs in the presence or absence of communication delays are analytically derived using appropriate Lyapunov functions. The overall region-reaching tracking cooperative performance, including stability, adaptability, and robustness, is validated through analysis and comparison of simulation examples.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"151 ","pages":"Article 109020"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289906","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
Distributed region tracking formation control for multiple redundant robot manipulator systems: A potential energy approach 多冗余机械手系统的分布式区域跟踪编队控制:一种势能方法
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI: 10.1016/j.cnsns.2025.109009
Jinwei Yu, Zhiyi Zhang
{"title":"Distributed region tracking formation control for multiple redundant robot manipulator systems: A potential energy approach","authors":"Jinwei Yu,&nbsp;Zhiyi Zhang","doi":"10.1016/j.cnsns.2025.109009","DOIUrl":"10.1016/j.cnsns.2025.109009","url":null,"abstract":"<div><div>In this research, we tackle the challenge of coordinating a group of redundant robot manipulator systems, each governed by Lagrangian dynamics. The goal is to maintain a stable formation within a specified dynamic region while avoiding kinematic singularities. The key feature of the designed control algorithm is the proposal of a fully distributed controller. This controller utilizes two distributed state observers and combines local formation potential functions with regional potential functions. The new control method introduces formation gradient functions and regional gradient functions into the control law to further coordinate the multi-objective tasks. This provides an analytical framework for regional coordination. Simulation examples are conducted to verify the effectiveness of this innovative distributed control algorithm.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"151 ","pages":"Article 109009"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289910","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
Accelerated projection methods for quasimonotone bilevel variational inequality problems with applications 拟单调二阶变分不等式问题的加速投影方法及其应用
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI: 10.1016/j.cnsns.2025.108988
Meiying Wang , Hongwei Liu , Jun Yang , Xinyi Wei
{"title":"Accelerated projection methods for quasimonotone bilevel variational inequality problems with applications","authors":"Meiying Wang ,&nbsp;Hongwei Liu ,&nbsp;Jun Yang ,&nbsp;Xinyi Wei","doi":"10.1016/j.cnsns.2025.108988","DOIUrl":"10.1016/j.cnsns.2025.108988","url":null,"abstract":"<div><div>In this paper, we propose two novel alternated multi-step inertial projection algorithms with self-adaptive step sizes. These algorithms are employed to solve the quasimonotone bilevel variational inequality problem (QBVIP, where VIP denotes a variational inequality problem) with a variational inclusion constraint in a real Hilbert space, where the QBVIP involves a strongly monotone mapping at the upper-level VIP and quasimonotone mapping at the lower-level. We establish the strong convergence of the proposed algorithms under some suitable conditions. Furthermore, we demonstrate the applicability of these algorithms to the split feasibility problem and the generalized Nash equilibrium problem. These works extend and develop some of the existing results in the literature. Finally, we apply our results to LASSO problem and numerical experiments demonstrate the effectiveness and superiority of the proposed algorithms.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108988"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289914","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
Active attack compensator control for Takagi–Sugeno fuzzy chaotic Markovian jump systems with cyber attacks 具有网络攻击的Takagi-Sugeno模糊混沌马尔可夫跳跃系统的主动攻击补偿器控制
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI: 10.1016/j.cnsns.2025.109000
Rakan A. Alsowail
{"title":"Active attack compensator control for Takagi–Sugeno fuzzy chaotic Markovian jump systems with cyber attacks","authors":"Rakan A. Alsowail","doi":"10.1016/j.cnsns.2025.109000","DOIUrl":"10.1016/j.cnsns.2025.109000","url":null,"abstract":"<div><div>The prime focus of this study is to explore the attack reconstruction and attack-compensator-based nonfragile control issues of the Takagi–Sugeno fuzzy chaotic Markovian jump systems in the midst of cyber attacks, gain fluctuations and external disturbances. Firstly, an intermediate variable is framed, which serves as the basis for the construction of an intermediate observer that concurrently estimates the state of the system and reconstruct the cyber attacks. Subsequently, a attack-tolerant nonfragile control mechanism is developed, which aids in mitigating the cyber attacks in the system. Meanwhile, the detrimental effects of external disruptions on the system are offset via dissipative performance. From thereon, novel sufficient conditions ensuring the intended boundedness of the assayed system are framed in the form of linear matrix inequalities. Ultimately, numerical examples with simulation results are offered to demonstrate the potency of the developed theoretical insights.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"151 ","pages":"Article 109000"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289912","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
Advantages of vibro-impact nonlinear energy sinks for vibration suppression of continuous systems: Coexistence of inter-modal energy scattering and targeted energy transfer 振动冲击非线性能量汇抑制连续系统振动的优势:模态间能量散射与目标能量传递并存
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI: 10.1016/j.cnsns.2025.108993
Bo Zhang , Zhiyong Zhang , Jun Jiang , Yonghe Zhang , Bincheng Li , Haiqin Li , Hao Xian
{"title":"Advantages of vibro-impact nonlinear energy sinks for vibration suppression of continuous systems: Coexistence of inter-modal energy scattering and targeted energy transfer","authors":"Bo Zhang ,&nbsp;Zhiyong Zhang ,&nbsp;Jun Jiang ,&nbsp;Yonghe Zhang ,&nbsp;Bincheng Li ,&nbsp;Haiqin Li ,&nbsp;Hao Xian","doi":"10.1016/j.cnsns.2025.108993","DOIUrl":"10.1016/j.cnsns.2025.108993","url":null,"abstract":"<div><div>Nonlinear energy sink (NES) is a lightweight nonlinear device that is attached to a primary system for passive energy localization into itself. In this paper, the energy transfer mechanism of the vibro-impact nonlinear energy sink (VI-NES) in continuous systems, and its consequences in vibration suppression is addressed. We uncovered the significance of a new distinctive energy transfer phenomenon termed inter-modal energy scattering (IMES), which was largely overlooked by most of the investigations concerning VI-NES. Considering a coupled system consists of a cantilever beam and an attached VI-NES, the non-smooth dynamics of the system is first formulated in a measure differential complementarity problem and treated using an energy-conserving integration method. Then the energy transfer mechanisms including the common targeted energy transfer (TET), the IMES, and their coexistence effect, are comprehensively investigated. Finally, the vibration damping performance of the VI-NES for the beam under harmonic force, broadband white noise, and transient shock excitations are also discussed and compared to other types of absorbers. It is demonstrated that the IMES is a distinctive phenomenon that can be realized only in the types of NESs with non-smooth vibro-impacts, to allow a broadband transfer of vibration energy among the eigenmodes of the host beam, resulting in hence a much more effective vibration reduction than the tuned mass damper (TMD) or other NESs.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"151 ","pages":"Article 108993"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289913","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
Non-monotonic prescribed performance specifications in tracking control of input-limited nonlinear systems 输入受限非线性系统跟踪控制中的非单调规定性能规范
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-11 DOI: 10.1016/j.cnsns.2025.109016
Yaming Zheng , Yu Xia
{"title":"Non-monotonic prescribed performance specifications in tracking control of input-limited nonlinear systems","authors":"Yaming Zheng ,&nbsp;Yu Xia","doi":"10.1016/j.cnsns.2025.109016","DOIUrl":"10.1016/j.cnsns.2025.109016","url":null,"abstract":"<div><div>Most existing prescribed performance boundaries are designed to be strictly monotonically decreasing, which may not always be advantageous. When control input fail to meet the prescribed performance requirements, strict monotonicity can lead to constraint failure and singularity problem. This paper proposes novel non-monotonic prescribed performance specifications for tracking control of input-limited nonlinear systems, allowing for customized relaxation of constraint boundaries in cases where input is limited. By incorporating quadratic characteristics into the prescribed performance design, transient input oscillation is effectively suppressed. Coupled with a local asymmetric design, the prescribed performance boundaries impose asymmetric constraints during transients and symmetric constraints during steady-state, enabling effective regulation of output overshoot and preventing any bias in the steady-state tracking error. The proposed scheme, grounded in Lyapunov stability theory, guarantees that all signals within the closed-loop system are ultimately uniformly bounded, with the tracking error compelled to evolve within the prescribed boundaries within the prescribed time. Simulation results validate the effectiveness and superiority of the scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 109016"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289909","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
Numerical integrations of stochastic contact Hamiltonian systems via stochastic contact Hamilton–Jacobi equation 随机接触哈密顿系统的随机接触哈密顿-雅可比方程积分
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-10 DOI: 10.1016/j.cnsns.2025.108986
Qingyi Zhan , Jinqiao Duan , Lijin Wang
{"title":"Numerical integrations of stochastic contact Hamiltonian systems via stochastic contact Hamilton–Jacobi equation","authors":"Qingyi Zhan ,&nbsp;Jinqiao Duan ,&nbsp;Lijin Wang","doi":"10.1016/j.cnsns.2025.108986","DOIUrl":"10.1016/j.cnsns.2025.108986","url":null,"abstract":"<div><div>Stochastic contact Hamiltonian systems are an important class of mathematical models, which can describe the dissipative properties with odd dimensions in random scenario. In this article, we investigate the dynamics of the systems via structure-preserving numerical methods. The contact structure-preserving schemes are constructed by the stochastic contact Hamilton–Jacobi equation. A general numerical approximation method of the stochastic contact Hamilton–Jacobi equation is devised, and convergence order theorem is provided. Numerical tests are shown to confirm the theoretical results and the advantages of proposed approach.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108986"},"PeriodicalIF":3.4,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144271151","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
Optimal damping factors explored for eliminating nonphysical attraction forces from viscous contact models used in cohesionless granular system 探讨了用于消除粘性颗粒系统中粘性接触模型中非物理吸引力的最佳阻尼因子
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-10 DOI: 10.1016/j.cnsns.2025.109074
Gengxiang Wang , Wanxun Jia , Zepeng Niu , Yongjun Pan , Fuan Cheng
{"title":"Optimal damping factors explored for eliminating nonphysical attraction forces from viscous contact models used in cohesionless granular system","authors":"Gengxiang Wang ,&nbsp;Wanxun Jia ,&nbsp;Zepeng Niu ,&nbsp;Yongjun Pan ,&nbsp;Fuan Cheng","doi":"10.1016/j.cnsns.2025.109074","DOIUrl":"10.1016/j.cnsns.2025.109074","url":null,"abstract":"<div><div>Since the nonphysical attraction force near the end of the recovery phase seriously distorts the impact behavior in the granular system, this investigation aims to develop three strategies to eliminate the nonphysical attraction force to improve the deficiency of the viscous contact force models. The optimization principle for removing the nonphysical attraction force of the viscous damping factor is confirmed according to the characteristics of the viscous damping force. The first approach, dividing the impact process into three phases, is developed according to the relationship between hysteresis damping and viscous damping. The second method, separating the impact process into two phases, is proposed using the feature of viscous damping. The last approach treats the impact behavior as a complete process to formulate a unique viscous contact force model without nonphysical attraction force. All three optimized strategies effectively eliminate nonphysical forces and capture post-impact behavior.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 109074"},"PeriodicalIF":3.4,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144289916","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
On a Gronwall-type inequality for the general fractional integrals with the Sonin kernels and its applications 带Sonin核的一般分数阶积分的gronwall型不等式及其应用
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-09 DOI: 10.1016/j.cnsns.2025.108985
Mohammed Al-Refai , Mohammadkheer Al-Jararha , Yuri Luchko
{"title":"On a Gronwall-type inequality for the general fractional integrals with the Sonin kernels and its applications","authors":"Mohammed Al-Refai ,&nbsp;Mohammadkheer Al-Jararha ,&nbsp;Yuri Luchko","doi":"10.1016/j.cnsns.2025.108985","DOIUrl":"10.1016/j.cnsns.2025.108985","url":null,"abstract":"<div><div>In this paper, for the first time, we formulate and prove a Gronwall-type inequality for the general fractional integrals with the Sonin kernels and with variable coefficients. Most of the Gronwall-type inequalities for the Fractional Calculus operators introduced in the literature so far are particular cases of this inequality. In the second part of the paper, the Gronwall-type inequality for the general fractional integrals with the Sonin kernels is applied for investigation of initial value problems for the non-linear fractional differential equations with the general fractional derivatives in the Riemann–Liouville sense and with the 1st level general fractional derivatives. This analysis covers the equations with both the Riemann–Liouville and Hilfer fractional derivatives and with several other types of fractional derivatives. In particular, we derive the uniqueness and continuous dependence of solutions to these problems on the initial data.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108985"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144252912","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
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