{"title":"Dynamic event-triggered control for fuzzy systems with time-delay under hybrid cyber attacks","authors":"Zhenbin Du , Yike Wang , Yonggui Kao , Ju H. Park","doi":"10.1016/j.cnsns.2025.109330","DOIUrl":"10.1016/j.cnsns.2025.109330","url":null,"abstract":"<div><div>This study explores the design of controllers for interval type-2 (IT2) fuzzy time-delay networked systems that are vulnerable to various cyber attacks, including denial-of-service (DoS) and deception attacks. To enhance resource utilization, a dynamic event-triggered mechanism (DETM) is utilized for signal transmission. This mechanism is designed to optimize the timing of data exchanges and reduce unnecessary communication. A Lyapunov-Krasovskii functional (LKF) is introduced to investigate the stability of the system under these challenging conditions. Exponential stability and the <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> performance index are incorporated into stability conditions, based on which the control law is established. The effectiveness of the proposed control strategy and the DETM is demonstrated through two illustrative examples. It is shown that the approach maintains the stability in the presence of DoS and deception attacks, confirming the practical applicability of the proposed method. This comprehensive analysis and verification highlight the potential applications of the proposed design in attack scenarios.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109330"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157741","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}
Stephan Gahima , Marco Stefanati , Alberto García-González , Pedro Díez , José Félix Rodríguez Matas
{"title":"Inverse nonlinear elastostatic analysis of heterogeneous pre-stressed arterial cross-sections with elastic bed supports: an unfitted approach","authors":"Stephan Gahima , Marco Stefanati , Alberto García-González , Pedro Díez , José Félix Rodríguez Matas","doi":"10.1016/j.cnsns.2025.109341","DOIUrl":"10.1016/j.cnsns.2025.109341","url":null,"abstract":"<div><div>This manuscript presents a novel formulation for inverse finite elastostatics in problems with elastic bed support on the external boundary (elastic bed boundary condition), replacing the classical Dirichlet boundary condition. An unfitted strategy to compute the solution of the mechanical problem is devised, inspired in the Immersed Boundary (IB) framework, and using level sets to describe the geometry. The method is applied to study realistic atherosclerotic arterial sections, which are known to exhibit a pre-stressed configuration. Furthermore, we demonstrate that our method effectively identifies the unloaded configuration. Taking as reference a classical finite elements solver in a commercial code, the method presented results in error lower than <span><math><mrow><mn>3</mn><mspace></mspace><mo>%</mo></mrow></math></span> in displacements, for sufficiently fine meshes.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109341"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145117910","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":"Wave-breaking criteria and persistence properties for the nonlocal Whitham-type equations","authors":"Xiaofang Dong","doi":"10.1016/j.cnsns.2025.109348","DOIUrl":"10.1016/j.cnsns.2025.109348","url":null,"abstract":"<div><div>In this paper, we mainly study some nonlocal Whitham-type equations which include the <span><math><mi>b</mi></math></span>-family equation, the generalized rod equation and hyperelastic rod equation, the generalized Fornberg-Whitham equation and two-component Fornberg-Whitham system. A class of priori estimates of <span><math><msup><mi>L</mi><mi>∞</mi></msup></math></span>-norm of the solution <span><math><mi>u</mi></math></span> to the corresponding equations is firstly constructed by making good use of the Osgood inequality. Then, based on this fact, some new wave-breaking criteria of the solutions for the equations which involve the <span><math><mi>b</mi></math></span>-family equation, the generalized rod equation, the hyperelastic rod equation and the generalized Fornberg-Whitham equation are obtained without the help of any conservation law properties. Finally, by the aid of the <span><math><msup><mi>L</mi><mn>1</mn></msup></math></span>-norm conservation of <span><math><mi>ρ</mi></math></span> and the <span><math><msup><mi>L</mi><mn>2</mn></msup></math></span>-norm of <span><math><mi>u</mi></math></span> with respect to a linear function of time <span><math><mi>t</mi></math></span>, we consider the local-in-space wave-breaking criterion of the solution for the two-component Fornberg-Whitham system by the characteristics line method. Moreover, the persistence properties of the solutions for the two-component Fornberg-Whitham system in weighted <span><math><mrow><msup><mi>L</mi><mi>p</mi></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> spaces are also investigated.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109348"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157946","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":"Fault detection for nonlinear multirate systems with time-varying delays under a hybrid dynamical event-triggered scheme","authors":"Zhihui Wu , Tiantian Hu , Lichao Feng","doi":"10.1016/j.cnsns.2025.109328","DOIUrl":"10.1016/j.cnsns.2025.109328","url":null,"abstract":"<div><div>This paper considers the fault detection (FD) problem for a class of nonlinear multirate systems (NMRSs) with time-varying delays. Here, in order to preserve more effective information and simplify calculations, a new compensation method is utilized to unify the rates of multirate systems (MRSs). On the other hand, a novel hybrid dynamical event-triggered scheme (HDETS) is proposed to regulate the frequency of signal release by adding an adaptive switching multiplicative variable (ASMV) on the basis of dynamic event-triggering mechanism (ETM). Specifically, the ASMV of the triggering function will switch based on the feedback information of FD. In addition, by adjusting the parameters of the triggering function, the triggering condition can be flexibly adjusted to control the triggering rate. The aim of this paper is to design an HDETS-based fault detection filter (FDF), which guarantees that the augmented system is asymptotically stable (AS) with prescribed <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> performance. Next, the gains of FDF are derived through linear matrix inequality (LMI). Finally, two examples of the ballistic roll rate system and Chua’s circuit system are performed to verify the effectiveness of the FDF designed under HDETS.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109328"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157236","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}
Wanpeng Shi , Juan Yu , Cheng Hu , Kailong Xiong , Liang Feng
{"title":"Observer-based pinning control security synchronization of multi-weighted complex networks subject to DoS attacks","authors":"Wanpeng Shi , Juan Yu , Cheng Hu , Kailong Xiong , Liang Feng","doi":"10.1016/j.cnsns.2025.109291","DOIUrl":"10.1016/j.cnsns.2025.109291","url":null,"abstract":"<div><div>The study focuses on the secure synchronization control of a class of multi-weighted complex networks under denial-of-service attacks. First, a novel decentralized pinning observer is proposed to address the issue of unmeasurable node states. Furthermore, by employing iterative techniques, the comparison principle, and constructing appropriate Lyapunov functions, several security synchronization criteria expressed in terms of linear matrix inequalities are rigorously derived. Additionally, to minimize control costs, decentralized adaptive control strategies are developed to ensure secure synchronization. Finally, the feasibility and effectiveness of the theoretical analysis are validated through multiple numerical examples.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109291"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157245","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":"Synchronization of higher-order networks with multiple time-varying delays via intermittent control","authors":"Mengjie Xiao , Xiyao Leng , Zhaoyan Wu","doi":"10.1016/j.cnsns.2025.109325","DOIUrl":"10.1016/j.cnsns.2025.109325","url":null,"abstract":"<div><div>In this paper, synchronization problem of higher-order networks with multiple time-varying delays is investigated via intermittent control. Unlike traditional networks limited to pairwise interactions, higher-order networks capture multi-node interactions, enabling modeling of more complex real-world systems. For achieving synchronization, the intermittent control strategy is introduced to design proper controller. Based on Lyapunov stability theory and mathematical analysis techniques, the sufficient conditions with intermittent gain, control rate and other parameters are obtained for synchronization of higher-order networks. Noticeably, we provide two cases for optimizing the control rate. Lastly, numerical simulations are provided to validate and demonstrate the accuracy of the derived results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109325"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145181255","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":"Synchronization of multi-weighted coupled systems with semi-Markov jump via asynchronously intermittent sampled-data decentralized control","authors":"Yan Liu , Haoming Han , Di Wu , Hui Zhou","doi":"10.1016/j.cnsns.2025.109329","DOIUrl":"10.1016/j.cnsns.2025.109329","url":null,"abstract":"<div><div>The synchronization of stochastic multi-weighted coupled systems with semi-Markov jump is investigated via asynchronously intermittent sampled-data decentralized control (AISDC). It is worth noting that semi-Markov jump is considered to make systems deal with complex changes in practice. Moreover, AISDC is first designed to overcome the weaknesses of simple intermittent control or sampled-data control, which can avoid potential traffic congestion and decrease control cost. Based on this novel controller, the sufficient conditions of synchronization are presented by combining the graph theory and the Lyapunov method. Moreover, theoretical results are applied to coupled Chua’s circuits with multiple weights and semi-Markov jump as well as the synchronization criteria are presented. Finally, the validity of the obtained results is verified by numerical simulations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109329"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157239","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":"Solving partial differential equations with random feature models","authors":"Chunyang Liao","doi":"10.1016/j.cnsns.2025.109343","DOIUrl":"10.1016/j.cnsns.2025.109343","url":null,"abstract":"<div><div>Machine learning based partial differential equations (PDEs) solvers have received great attention in recent years. Most progress in this area has been driven by deep neural networks such as physics-informed neural networks (PINNs) and kernel method. In this paper, we introduce a random feature based framework toward efficiently solving PDEs. Random feature method was originally proposed to approximate large-scale kernel machines and can be viewed as a shallow neural network as well. We provide an error analysis for our proposed method along with comprehensive numerical results on several PDE benchmarks. In contrast to the state-of-the-art solvers that face challenges with a large number of collocation points, our proposed method reduces the computational complexity. Moreover, the implementation of our method is simple and does not require additional computational resources. Due to the theoretical guarantee and advantages in computation, our approach is proven to be efficient for solving PDEs.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109343"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157229","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":"Finite-time stability of discrete-time stochastic dynamical systems with multiple impulses","authors":"Junwen Wan, Quanxin Zhu","doi":"10.1016/j.cnsns.2025.109317","DOIUrl":"10.1016/j.cnsns.2025.109317","url":null,"abstract":"<div><div>This paper focuses on the finite-time stability (FTS) of discrete-time stochastic dynamical systems(DTSDSs) with multiple impulses. By introducing a novel generalized dead-zone function and combining it with the method of average impulse interval analysis, the study systematically investigates the FTS properties of nonlinear discrete-time dynamical systems. It comprehensively considers the influence mechanisms of destructive impulses, stabilizing impulses, and mixed impulses on system stability. Based on the comparative analysis method, the research extends the FTS results from deterministic impulsive systems to stochastic impulsive systems. Finally, one numerical example and two examples of fish population ecosystems are used to validate the correctness and effectiveness of the conclusions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109317"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157934","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":"Mittag-Leffler synchronization of fractional order disturbed chaotic neural networks with varying time-delay using hybrid controller and its application to biometric image encryption","authors":"Reshma Ramaswami, Vinodkumar Arumugam, Sriramakrishnan Pathmanaban","doi":"10.1016/j.cnsns.2025.109350","DOIUrl":"10.1016/j.cnsns.2025.109350","url":null,"abstract":"<div><div>The sufficient conditions for the Mittag-Leffler (M-L) synchronization of fractional ordered chaotic neural networks, with varying time-delay, is established in this work. The situation where the system is affected by state-dependent exogenous disturbances is carefully considered and studied here. The synchronization is attained by introducing a hybrid controller, which involves a feedback controller and an event-triggered impulsive controller. The main results are proved by utilizing the concepts of Lyapunov theory and Linear Matrix Inequalities (LMIs). Further, the Zeno behavior is avoided by carefully designing the settings for the event-triggering conditions. The dynamic behavior of the networks, which are stabilized using the hybrid controller, during initial time, was effectively utilized in biometric image encryption application. In addition to that, Josephus scrambling technique was introduced to enhance the security. The qualitative and quantitative results proved that the method effectively retrieve the original image after decryption. Further, comparative results proving the efficiency of the proposed methods with the existing literature is also provided.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109350"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157935","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}