Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Comparison method-based finite-time stabilization of fuzzy complex-valued inertial neural networks with hybrid delays","authors":"Ziye Zhang ,&nbsp;Yunge Liu ,&nbsp;Xiaoping Liu ,&nbsp;Zhen Wang ,&nbsp;Chong Lin","doi":"10.1016/j.cnsns.2026.109689","DOIUrl":"10.1016/j.cnsns.2026.109689","url":null,"abstract":"<div><div>The finite-time stabilization (FTS) of fuzzy complex-valued inertial neural networks (FCVINNs) model with discrete delays and distributed delays is investigated. We first attempt to integrate the comparison strategy into the non-reduced order and the non-separation approach, which is a complement and innovation to the previous method. To achieve the ideal goal, based on 2-norm and 1-norm defined in the complex field, we structure the innovative comparison functions and design the appropriate controllers without delay information. Next, by using the comparison method and inequality skills on the original system, the algebraic criteria to guarantee the FTS for FCVINNs with hybrid delays are established. Meanwhile, the settling time is approximated. Last, the validity and availability of theoretical researches are verified by numerical simulations and the theoretical results are applied to a pseudo random number generator (PRNG).</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109689"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995131","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":"Gravity-independent self-rolling of a photothermal liquid crystal elastomer rod for microgravity actuation","authors":"Lu Wei,&nbsp;Xi Jiang,&nbsp;Xueao Hu,&nbsp;Dali Ge,&nbsp;Kai Li","doi":"10.1016/j.cnsns.2026.109764","DOIUrl":"10.1016/j.cnsns.2026.109764","url":null,"abstract":"<div><div>Self-sustaining systems convert steady environmental energy into continuous motion, enabling autonomous devices for space exploration and off-grid energy solutions. However, their operation in microgravity environments remains hindered by conventional designs’ dependence on Earth-like gravitational forces or complex mechanical systems. In this study, we develop a photothermal liquid crystal elastomer rod system that exploits spontaneous curvature-induced force imbalance to achieve self-rolling in microgravity, bypassing gravitational moment requirements. By establishing a photomechanical model linking heat flux to lateral curvature and driving couple moment, we demonstrate that lateral curvature and driving couple moment scale linearly with heat flux, yet inversely with heat transfer coefficient and angular velocity. Angular velocity increases by heat flux but decreases with track width and friction coefficient. The system’s structural simplicity and localized illumination response enable microgravity-adaptive operation, validated by experimental-theoretical correlation. This paradigm shifts active material applications toward space-compatible soft robotics, with demonstrated capabilities in zero-gravity actuator prototypes and self-reconfiguring extraterrestrial exploration systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109764"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995132","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":"Design of optimization-based reliable boundary control for mode-dependent parabolic PDE systems","authors":"P. Sozhaeswari ,&nbsp;Y. Lim ,&nbsp;T. Satheesh ,&nbsp;Sultan Alfarhood ,&nbsp;Mejdl Safran ,&nbsp;R. Sakthivel","doi":"10.1016/j.cnsns.2026.109699","DOIUrl":"10.1016/j.cnsns.2026.109699","url":null,"abstract":"<div><div>The objective of this study is to address the finite-time stabilization problem for mode-dependent partial differential equation systems governed by the parabolic model with parameter uncertainties and external disturbances under a reliable boundary control protocol. Specifically, the approach of finite-time boundedness and input-output finite-time stability are deployed in tandem to limit both state and output, respectively, during certain transients. Moreover, to enhance the system’s operational effectiveness and reduce the cost function, a particle swarm optimization algorithm is employed. Furthermore, a mode-dependent proportional-integral observer is put forth to estimate the states of a mode-dependent parabolic partial differential equation systems. Thereafter, reliable boundary control is developed to attain the intended outcomes. Specifically in the design of control, the faulty actuator model which includes both linear and nonlinear aspects, are considered, to enhance the robustness of the controller. Subsequently, through the implementation of the mode-dependent Lyapunov functions and the integral-based Wirtinger’s inequality, the requisite criteria are established within the framework of linear matrix inequalities to ascertain both input-output finite-time stabilization and finite-time boundedness of the assessed system. Simultaneously, the established criteria facilitate the determination of both the developed controller and the proportional-integral observer gain matrices. Eventually, two numerical examples are provided to validate the effectiveness and applicability of the devised control protocol.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109699"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995150","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":"Composite index-based stiffness optimization and deformation error compensation for a weak rigidity industrial robot","authors":"Wanjin Guo ,&nbsp;Ru Li ,&nbsp;Qianhui Li ,&nbsp;Yuxiang Tian ,&nbsp;Chuqing Cao ,&nbsp;Lijun Zhao","doi":"10.1016/j.cnsns.2026.109754","DOIUrl":"10.1016/j.cnsns.2026.109754","url":null,"abstract":"<div><div>In order to solve the issue of relatively noticeable end deformation due to the weak rigidity structures in a highly dexterous 3T2R industrial robot, a composite index-based method of quasi-static robot stiffness optimization and deformation error compensation is proposed. The proposed method aims to enhance the quasi-static stiffness performance and reduce the quasi-static end deformation for this weak rigidity industrial robot. First, structural characteristics of the weak rigidity industrial robot are analyzed, and a quasi-static robot stiffness model is established. Second, a quasi-static robot stiffness identification approach is presented, considering weakly rigid joint transmission chains and flexible rod of the studied robot. The effects of the weakly rigid joint transmission chains and the flexible rod on the robot end deformation are investigated. Quasi-static robot stiffness identification experiment is conducted to obtain the quasi-static stiffness of each joint of the studied robot. Third, a composite stiffness index is constructed by using a compliance ellipsoid, incorporating both quasi-static normal stiffness evaluation index and quasi-static plane stiffness evaluation index. And a composite index-based method of quasi-static robot stiffness optimization and deformation error compensation is proposed to minimize the quasi-static robot end deformation of the studied weak rigidity industrial robot. Finally, the effectiveness of the presented quasi-static robot stiffness identification approach, and the effectiveness of the proposed composite index-based method of quasi-static robot stiffness optimization and deformation error compensation, are validated experimentally. Experimental results indicate that the error rates between the measured comprehensive robot end deformations and the theoretical counterparts at 4 kg, 8 kg, and 16 kg quasi-static loads are 10.61%, 11.82%, and 8.89%, respectively. The comprehensive position deformation is reduced by 23.43% before and after the quasi-static robot stiffness optimization. After performing quasi-static robot end deformation error compensation for parallelogram, triangle, and rectilinear segment, the reduced comprehensive position deformations range from 28.61% to 81.61%.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109754"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957143","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":"ADP-based dynamic event-triggered fault-tolerant control for nonlinear systems with actuator failures and full-state time-varying constraints","authors":"Chunbin Qin,&nbsp;Mingyu Pang,&nbsp;Zhongwei Wang,&nbsp;Suyang Hou,&nbsp;Qian Qiu","doi":"10.1016/j.cnsns.2026.109676","DOIUrl":"10.1016/j.cnsns.2026.109676","url":null,"abstract":"<div><div>This paper aims to develop a novel adaptive dynamic programming (ADP) based fault-tolerant control (FTC) framework for nonlinear systems, which can effectively handle actuator failures and full-state time-varying constraints while reducing resource consumption through a dynamic event-triggered mechanism (DETM). In order to deal with full-state time-varying constrained problems, a novel control barrier function (CBF) has been proposed that transforms the original system into an unconstrained system. To address unknown faults in the actuator, a fault observer is proposed that compensates for the observed faults. In addition, a new DETM is designed, and optimal control rules can be approximated by constructing a single-critic neural network (NN). A prioritized experience replay strategy based on recency is integrated with the empirical replay technique to relax the persistent excitation (PE) condition so that the weights are updated with more attention to the most recent post-weighting data in the updating process. Lyapunov theory is used to ensure that the nonlinear system state and the critic NN weight are uniformly ultimately bounded (UUB). The effectiveness of the proposed method is verified through simulation results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109676"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957175","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":"Prescribed-time non-smooth optimization for multi-agent systems with mixed constraints","authors":"Xuening Xu ,&nbsp;Zhiyong Yu ,&nbsp;Haijun Jiang ,&nbsp;Chunxia Zhu","doi":"10.1016/j.cnsns.2026.109696","DOIUrl":"10.1016/j.cnsns.2026.109696","url":null,"abstract":"<div><div>This paper investigates the prescribed-time non-smooth distributed optimization problems (DOPs) with mixed constraints for multi-agent systems (MASs). First, a lemma is introduced to describe the relationship between any two vectors in a convex set and their elements in a normal cone, which plays a crucial role in the convergence analysis of the algorithm. Second, a non-singular prescribed-time distributed optimization algorithm (DOA) is proposed based on the time-varying transformation function, and the optimal solution of the DOP is obtained through the projection sub-gradient algorithm and the proximal operator algorithm. In particular, the proposed algorithm reduces the conservativeness that the objective function is strongly convex and smooth. Finally, the effectiveness and feasibility of the DOA are validated through numerical simulation, and the impact of the adjustable parameter on the convergence performance is discussed, along with a comparison to existing algorithms.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109696"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957185","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":"A very simple, efficient and accurate dynamic interpolation BFGS algorithm for three-dimensional moment of fluid method","authors":"Deng Wang ,&nbsp;Zupeng Jia","doi":"10.1016/j.cnsns.2026.109755","DOIUrl":"10.1016/j.cnsns.2026.109755","url":null,"abstract":"<div><div>The Moment of Fluid (MOF) method is a widely used and accurate interface reconstruction method. It performs iterations to solve an implicit nonlinear optimization problem to obtain the optimal approximate interface. As far as we know, the current optimization algorithms employed in MOF methods all directly minimize the implicit objective function, and the interface reconstruction procedure has to be executed for each calculation of the objective function, which is very expensive. There have been numerous measures to improve the computational efficiency, accuracy and robustness of the MOF method, but we will achieve the improvements from a new perspective. In this paper, a very simple, efficient and accurate dynamic interpolation BFGS (DIBFGS) algorithm is proposed, based on the classical Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm. The new algorithm introduces a dynamic interpolation function to approximate the implicit objective function during the optimization process. The dynamic interpolation function is explicit and the interpolation nodes utilized for constructing it are dynamically selected from a gradually expanding set of candidate interpolation nodes. The new algorithm minimizes the dynamic interpolation function instead of the original objective function, thus the number of original objective function calculations will be significantly reduced and the computational efficiency can be improved. Moreover, in previous MOF methods, the gradient of the objective function involved in the iterations are either estimated by finite difference approximation or derived analytically with complex analyses, both of which require interface reconstruction. On the contrary, our algorithm uses the analytical gradient of the interpolation function, which is also explicit and quite easy to calculate. Then the accuracy, convergence rate as well as robustness of the iteration process can be improved. Last but not least, our algorithm is very simple and easy to code. A variety of numerical tests collectively show that compared to the MOF method using BFGS algorithm, our new method can not only effectively reduce the number of original objective function calculations and computational time, but also improve the accuracy and robustness particularly in complex cases with large interface deformations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109755"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995134","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":"Enhanced vibration suppression of structures using an optimized serial single-sided vibro-impact bistable NES","authors":"Jiang Li,&nbsp;Gui-Lan Yu","doi":"10.1016/j.cnsns.2026.109763","DOIUrl":"10.1016/j.cnsns.2026.109763","url":null,"abstract":"<div><div>The effectiveness of a nonlinear energy sink (NES) is highly dependent on the initial energy level. Its vibration suppression efficiency rapidly diminishes if the initial energy deviates from a certain range. To address this issue, the present paper combines the advantages of bistability with single-sided vibro-impact, and proposes a serially connected single-sided vibro-impact bistable NES (SSSVI-BNES) designed for targeted energy transfer (TET). Compared with bistable NES (BNES) and single-sided vibro-impact NES (SSVI-NES), the SSSVI-BNES effectively resolves the energy sensitivity and energy reflux problems without increasing total mass by connecting the oscillators in series. It broadens the effective energy range and greatly reduces the root mean square (RMS) displacement and maximum displacement of the primary structure, and demonstrates robust control over structural stiffness variations. The parameters of the SSSVI-BNES are optimized using an improved adaptive genetic algorithm (IAGA), significantly improving the vibration suppression effect. The complete source code is available at our github repository: <span><span>https://github.com/LJ384</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109763"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047911","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":"Oscillation reductions of pipe conveying pulsating fluid based on periodic half-sine wave design","authors":"Runqing Cao ,&nbsp;Yixiang He ,&nbsp;Zilong Guo ,&nbsp;Qiao Ni ,&nbsp;Huliang Dai ,&nbsp;Lin Wang","doi":"10.1016/j.cnsns.2026.109677","DOIUrl":"10.1016/j.cnsns.2026.109677","url":null,"abstract":"<div><div>This study introduces a novel periodic half-sine wave design for pipe conveying unsteady flows, presenting a potential approach for suppressing parametric resonances and enhancing its stability. The dynamical model is developed using the absolute nodal coordinate formulation (ANCF) method and validated through the finite element analysis and experiment. The influence of periodic wave number on vibration suppression is firstly examined. It is found that three half-sine waves design is identified to be the most effective configuration on suppressing vibration amplitude of the pipe system. Subsequently, effects of the wave peak on the static deformation, stability and natural frequency of the pipe with periodic design have been explored. Finally, the pre-buckling and post-buckling dynamical behaviors of the pipe are systematically investigated varying with the pulsating frequency. The findings reveal that the designed periodic configuration significantly enhances the critical flow velocity of the pipe, with larger initial peaks consistently corresponding to higher critical flow velocities. Regarding pre-buckling dynamical behaviors, the periodic pipe exhibits the first-order and subharmonic resonances with cyclic motions. There is an optimal wave peak value for the periodic pipe where the subharmonic resonance can be significantly suppressed. In the post-buckling state, an increasement in the wave peak is followed by reductions of the vibration amplitude due to evolutions from chaotic responses to limit cycle motions. The present study provides a valuable insight of configuration design for improving the stability and suppressing vibration amplitude of the pipe conveying unsteady fluid flows.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109677"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039462","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":"Fuzzy observer design for positive T-S fuzzy systems","authors":"Jing Wang,&nbsp;Likui Wang,&nbsp;Qianling Wang","doi":"10.1016/j.cnsns.2026.109698","DOIUrl":"10.1016/j.cnsns.2026.109698","url":null,"abstract":"<div><div>This paper investigates the problem of observer design for positive T-S fuzzy systems. Two methods are provided to design the observer. First, the augmented system matrices are divided into blocks, and the observer is designed by using these blocks with a switching strategy. Then, for a special case that output system matrices are the same, less conservative design conditions are obtained by applying singular value decomposition (SVD) and second-order forms of the system states. Finally, the relationship of the two methods is discussed and two examples are given to verify the effectiveness of the results in this paper.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109698"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145962061","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}