Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Observer-based sliding mode control for discrete-time T-S fuzzy systems under Round-Robin protocol via a preview target mechanism","authors":"Jinpeng Kuang ,&nbsp;Yunfei Mu ,&nbsp;Xianghui Qin ,&nbsp;Yingchun Wang ,&nbsp;Ruiwang Sun","doi":"10.1016/j.cnsns.2026.109710","DOIUrl":"10.1016/j.cnsns.2026.109710","url":null,"abstract":"<div><div>This work focuses on the problem of observer-based preview sliding mode control (SMC) for discrete-time T-S fuzzy systems under Round-Robin (RR) protocol. For the phenomenon that the system is subject to RR protocol, a compensation strategy is proposed. A fuzzy observer is designed for original system. Meanwhile, an augmented system (AS) with discrete-time integrators and a previewable reference signal is developed, and then the tracking problem is transformed into the stability of ASs. A linear sliding surface and a preview SMC law are presented for ASs, which can guarantee the input-to-state stable (ISS) of the quasi-sliding motion and the reachability of the sliding region. Finally, the validity of the obtained theory is verified by an example.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109710"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957149","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":"Study on time-varying uncertainty and vibration characteristics of rolling element bearing-rotor system based on interval process excitation model","authors":"Zi Wang ,&nbsp;Xianmin Zhang ,&nbsp;Caichao Zhu","doi":"10.1016/j.cnsns.2026.109685","DOIUrl":"10.1016/j.cnsns.2026.109685","url":null,"abstract":"<div><div>Uncertainty is a critical factor influencing the dynamic behavior of rolling element bearing-rotor systems throughout the entire operational lifespan. This study proposes a novel modeling approach for uncertain excitations based on an Interval Process Excitation Model (IPEM), which accurately captures time-varying and nonlinear characteristics. To represent transient uncertainties, a Chebyshev interval expansion method is employed, while an improved fourth-order Runge-Kutta scheme enables real-time updates of the system’s dynamic responses. The study further investigates the coupled effects of time-varying, load-dependent, and random disturbance force uncertainties on the dynamic behavior of a rolling element bearing–rotor system. The proposed approach offers a robust and interpretable basis for analyzing vibration boundaries and provides new insights into the performance of rotor systems under complex, bearing-induced uncertainties.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109685"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146039538","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":"Nonlinear dynamics of noncontact finger seal rotor system under rubbing fault","authors":"Yuan Wei ,&nbsp;Yi Li ,&nbsp;Bowen Ma","doi":"10.1016/j.cnsns.2026.109717","DOIUrl":"10.1016/j.cnsns.2026.109717","url":null,"abstract":"<div><div>In rotating machinery such as gas turbines, rubbing failures between rotors and seals often trigger complex nonlinear dynamical behavior, which is detrimental to system stability. This work provides an in-depth investigation of the impacts about rubbing faults regarding the nonlinear dynamics associated with noncontact finger seal rotor system. By establishing the numerical calculation method of finger pad partition to construct the sealing force model along with the dynamics model about rotor-bearing-noncontact finger seal system under touching failure, and extending the dynamic force model regarding one finger beam into a force model of the whole circle, the mechanism of rotational speed, damping and the change of the size of the seal structure regarding the stability about the system has been systematically researched. The paper indicates that the rotor system is more likely to fall into a chaotic state due to friction failures, increasing rotor damping enhances the reliability about the system, but requires to be accurately weighed with the goal to guarantee regular function of the rotor. Increasing the size about the finger pads exacerbates the unstable tendency of the system, and larger finger pads at the same rotational speeds require higher damping to counteract the effect of friction. The study combines the methods of bifurcation diagram, Lyapunov exponent and Poincare mapping offering an empirical foundation for fault identification as well as optimal design of flexible sealing systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109717"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982097","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":"Optimal consensus control for multiagent networks of distributed parameter systems","authors":"Jin You ,&nbsp;Yan Li ,&nbsp;Xiangyang Cao ,&nbsp;YangQuan Chen","doi":"10.1016/j.cnsns.2026.109745","DOIUrl":"10.1016/j.cnsns.2026.109745","url":null,"abstract":"<div><div>In this paper, diffusive representation (DR) is shown to be effective in addressing optimal consensus control problems in DPS-based multiagent systems (MASs) for both leader-following and leaderless cases, leading to significant advancements in meeting engineering requirements, facilitating cost savings and enhancing efficiency for optimal performance. First, the concept of DR approach is introduced to transform the original causal convolution pseudo-differential operator (PDO) into DPS, exhibiting infinite dimensional properties. Second, the proposed spatial product operation helps establish a theoretical system of the converted DPSs, including the linear representation for state space model, the Lyapunov functions and the reformulation of LQR optimal control problem with generalized performance indexes. Furthermore, the inverse optimality technique is conducted to develop distributed strategies for the cooperative control of the distributed parameter multiagent systems using DR approach, and derive the solution of globally optimal LQR problem. Finally, fractional-order multiagent systems (FOMASs) to both leaderless and leader-follower UAV formation control scenarios are presented to validate the effectiveness of the proposed results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109745"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995136","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 sliding mode secure control with dynamic-memory event-triggered for semi-Markov jump systems subject to hybrid network attacks and general transition probabilities","authors":"Yajing Li,&nbsp;Dan Peng,&nbsp;Yuechao Ma","doi":"10.1016/j.cnsns.2026.109658","DOIUrl":"10.1016/j.cnsns.2026.109658","url":null,"abstract":"<div><div>This study focuses on the issue of memory-based dynamic event-triggered secure sliding mode control (SMC) for semi-Markov jump systems (S-MJSs) under false data injection (FDI) attacks and aperiodic denial-of-service (DoS) attacks. Firstly, a mode-dependent state observer is designed to obtain system state estimates. By incorporating historical transmission data and auxiliary dynamic variables into a dynamic-memory event-triggered mechanism (DMETM), the transmission efficiency can be optimized and bandwidth resources can be saved. Secondly, an observer-based SMC law is formulated based on event-triggered state information to guarantee that the system state trajectory can achieve finite-time reachability. Moreover, by constructing a mode-dependent piecewise Lyapunov-Krasovskii functional (LKF), the sufficient conditions are derived for the stochastic finite-time bounded (SFTB) realization of S-MJSs with <em>H</em>_∞ performance under various network attacks and in the presence of uncertain or unknown transition probabilities (TPs). Through the designed collaborative scheme, the triggering parameters, controller and observer gain matrices can be derived. At last, two simulation examples are employed to verify the validity and practicality of the introduced approach.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109658"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995146","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":"Spatial sampling-based passivity and synchronization of multiweighted coupled reaction-diffusion neural networks","authors":"Haodong Cui ,&nbsp;Haoyun Tang ,&nbsp;Mingyu Ma ,&nbsp;Cheng Hu ,&nbsp;Tingting Shi","doi":"10.1016/j.cnsns.2026.109666","DOIUrl":"10.1016/j.cnsns.2026.109666","url":null,"abstract":"<div><div>A type of multiweighted coupled reaction-diffusion neural networks with general delays is formulated in this study, and the passivity and synchronization are addressed via spatial sampling control. Firstly, an innovative spatial sampling controller is developed, which is distributed at the midpoint of each spatial sampling interval and improves traditional full-domain control schemes. Additionally, by utilizing variable rearrangement technique and constructing some Lyapunov-Krasovskii functionals, several passivity and synchronization criteria presented by LMIs are derived. Moreover, to further reduce the control cost, an adaptive spatial sampling control strategy is proposed and the adaptive synchronization is rigorously analyzed. Note that only the weighted union topology of all coupling layers is constrained to be connected, which relaxes the previous requirement on the strong connectivity of each coupling topology. The obtained results are confirmed by an illustrative example and are applied to image encryption and decryption.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109666"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982095","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 harmonic balance normal form parametrisation for single mode reduction of nonlinear vibrating systems","authors":"Aurélien Grolet ,&nbsp;Cyril Touzé ,&nbsp;André De Figueiredo Stabile ,&nbsp;Olivier Thomas","doi":"10.1016/j.cnsns.2026.109708","DOIUrl":"10.1016/j.cnsns.2026.109708","url":null,"abstract":"<div><div>This paper introduces a model-order reduction technique for lightly damped nonlinear vibrating systems. By combining calculation details that are specific to the harmonic balance method, the asymptotic numerical method, and the normal form style parametrisation for invariant manifolds, a complete procedure that can cope with single-mode reduction is detailed. Introducing harmonic decomposition in the process allows for a different treatment of the temporal information of the solution, which comes with advantages as compared to normal form expansions based on polynomial expansions. The computation proceeds with two nested loops on both the harmonics and the polynomial degree expansion. A decisive advantage of the procedure is its ability to compute a new expansion from a known solution, which allows the derivation of amplitude-dependent piecewise reduced order models (ROMs), together with an integrated procedure that can switch from the invariant manifolds computation attached to either fixed points or limit cycles. Once the validity limit of a first expansion is met, the procedure can restart from a point where convergence is reached and produce a new ROM. This feature has the potential to overcome the well-known limitations of asymptotic expansions associated with the parametrisation method for invariant manifolds, and is derived here only for conservative systems. The whole analysis also clearly establishes the links existing between the normal form approach and computations based on the harmonic balance combined with the asymptotic numerical method. Examples of increasing complexity, starting from a Duffing equation, a two-degree-of-freedom system and a finite element beam model, are analysed, and comparisons with existing techniques are provided.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109708"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995147","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":"Strict mittag-leffler stability of fractional unperturbed systems","authors":"Dilara Karslıoğlu ,&nbsp;Coşkun Yakar","doi":"10.1016/j.cnsns.2026.109757","DOIUrl":"10.1016/j.cnsns.2026.109757","url":null,"abstract":"<div><div>This study concentrates on investigating strict Mittag-Leffler stability for fractional differential systems operating without external perturbations. The focus is on unperturbed systems, where the dynamics are solely intrinsic and free from outside influences. Utilizing Caputo fractional derivatives alongside a suitably constructed Lyapunov-like functional, we establish new sufficient conditions guaranteeing that solutions converge strictly to the equilibrium point. The findings offer a sharper and more detailed description of stability than classical asymptotic notions, emphasizing the significance of memory properties inherent in fractional-order models. Several illustrative examples are provided to demonstrate the practical applicability and robustness of the derived criteria in such autonomous systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109757"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145995137","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":"Adaptive simultaneous forecast orthogonal matching pursuit applied in underwater acoustic channel estimation","authors":"Xiangwen Meng ,&nbsp;Hao Wang ,&nbsp;Fan Zou","doi":"10.1016/j.cnsns.2026.109752","DOIUrl":"10.1016/j.cnsns.2026.109752","url":null,"abstract":"<div><div>In the realm of underwater acoustic communication, the multipath characteristic of the channel significantly reduces communication efficiency, so it is necessary to estimate the channel and then compensate for it. However, traditional estimation methods struggle to accurately estimate channels polluted by noise and require a significant number of pilot signals. Currently, Orthogonal matching pursuit (OMP) is widely used for channel estimation, but it is susceptible to noise interference and lacks self-adaptive sparsity. In underwater acoustic communication, the signal-to-noise ratio (SNR) is often low, and the actual sparsity is unknown, necessitating a more effective estimation method with self-adaptive sparsity. This paper proposes an adaptive simultaneous forecast orthogonal matching pursuit (ASFOMP) for estimating the underwater acoustic channel. ASFOMP, which is improved from OMP, incorporates a forecast step and a self-adaptation function. In the forecast step, the selection of the current tap is determined not only by the correlation between the residual and the atom at the present step, but also by predicting the residual magnitude over several subsequent iterations after selecting that atom. This mechanism helps prevent the erroneous selection of taps that may be influenced by noise or interference. In the self-adaptation function, the residual gradient directly reflects the gain effect of the current newly added tap on channel compensation. When the residual gradient is very small, it indicates that the main taps of the channel have been estimated. Therefore, using the residual gradient as an indicator for adaptive channel estimation can effectively solve the problem of unknown number of channel taps. In the Rayleigh channel case, when SNR is 10 dB, the channel error of ASFOMP is only -51.474 dB, and its BER is 4.218%, which is superior to other methods. Compared to OMP, it reduces the channel estimation error by 39.973 dB and decreases the BER by 0.277%. In the Bellhop-generated channel case, it also achieves performance gains, with channel error reduced by 35.393 dB, and corresponding BER reduction of 0.304%.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109752"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957144","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":"Bearing-constrained formation control of multiple nonholonomic wheeled mobile robots","authors":"Liyun Zhao ,&nbsp;Yan Ren ,&nbsp;Wen Li ,&nbsp;Rui Wang","doi":"10.1016/j.cnsns.2026.109711","DOIUrl":"10.1016/j.cnsns.2026.109711","url":null,"abstract":"<div><div>This paper studies the bearing-based formation control problem of multiple nonholonomic mobile robots (MNMRs) with input disturbances and inter-node bearing constraints. Combining the additional dynamics and the kinematic steering system of MNMRs, the novel formation control protocols are proposed based on two different sliding variables which incorporate bearing information among agents and the leader’s velocity. Besides LaSalle’s invariance principle, mathematical induction method is used to establish convergence of the target formation. The results show that the desired and dynamic formation can be achieved under the proposed formation schemes if the target formation is infinitesimally bearing rigid. Finally, some numerical examples and simulations demonstrate the effectiveness of the proposed schemes and the obtained theoretical results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109711"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957181","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}