Communications in Nonlinear Science and Numerical Simulation最新文献

{"title":"Jensen-distance rate for stationary time series based on cross-spectral methods","authors":"Javier E. Contreras-Reyes","doi":"10.1016/j.cnsns.2025.108926","DOIUrl":"10.1016/j.cnsns.2025.108926","url":null,"abstract":"<div><div>Entropy and mutual information rates are key concepts in information theory that measure the average uncertainty and statistical dependence growth between two stochastic processes, respectively. This paper introduces a distance rate measure for discrepancy growth between two stationary processes, termed the Jensen-distance rate (JDR), which is based on spectral and cross-spectral densities. I examine fractional noise as a specific case of a weakly stationary process, where the asymptotic JDR is computed, and numerical results demonstrate the method’s performance. Additionally, I propose a JDR estimator based on the Blackman–Tukey spectral estimator for samples. Finally, an application to an ozone monitoring network showcases the estimated JDR for time series data, highlighting the practical utility of the proposed distance rate in time series analysis, including maximum/minimum concentrations and intra-daily seasonality.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108926"},"PeriodicalIF":3.4,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067224","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":"On the convergence of an inertial proximal algorithm with a Tikhonov regularization term","authors":"Szilárd Csaba László","doi":"10.1016/j.cnsns.2025.108924","DOIUrl":"10.1016/j.cnsns.2025.108924","url":null,"abstract":"<div><div>This paper deals with an inertial proximal algorithm that contains a Tikhonov regularization term, in connection to the minimization problem of a convex lower semicontinuous function <span><math><mi>f</mi></math></span>. We show that for appropriate Tikhonov regularization parameters the value of the objective function in the sequences generated by our algorithm converge fast (with arbitrary rate) to the global minimum of the objective function and the generated sequences converge weakly to a minimizer of the objective function. We also obtain the fast convergence of subgradients and the discrete velocities towards zero and some sum estimates. Further, we obtain strong convergence results for the generated sequences and also fast convergence for the function values and discrete velocities for the same constellation of the parameters involved. Our analysis reveals that the extrapolation coefficient, the stepsize and the Tikhonov regularization coefficient are strongly correlated and there is a critical setting of the parameters that separates the cases when strong convergence results or weak convergence results can be obtained.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108924"},"PeriodicalIF":3.4,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067225","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":"Euler–Maruyama scheme for delay-type stochastic McKean–Vlasov equations driven by fractional Brownian motion","authors":"Shuaibin Gao ,&nbsp;Qian Guo ,&nbsp;Zhuoqi Liu ,&nbsp;Chenggui Yuan","doi":"10.1016/j.cnsns.2025.108927","DOIUrl":"10.1016/j.cnsns.2025.108927","url":null,"abstract":"<div><div>This paper focuses on the Euler–Maruyama (EM) scheme for delay-type stochastic McKean–Vlasov equations (DSMVEs) driven by fractional Brownian motion with Hurst parameter <span><math><mrow><mi>H</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></mrow><mo>∪</mo><mrow><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>. The existence and uniqueness of the solutions to such DSMVEs whose drift coefficients contain polynomial delay terms are proved by exploiting the Banach fixed point theorem. Then the propagation of chaos between interacting particle system and non-interacting system in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span> sense is shown. We find that even if the delay term satisfies the polynomial growth condition, the unmodified classical EM scheme still can approximate the corresponding interacting particle system without the particle corruption. The convergence rates are revealed for <span><math><mrow><mi>H</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>)</mo></mrow><mo>∪</mo><mrow><mo>(</mo><mn>1</mn><mo>/</mo><mn>2</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>. Finally, as an example that closely fits the original equation, a stochastic opinion dynamics model with both extrinsic memory and intrinsic memory is simulated to illustrate the plausibility of the theoretical result.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108927"},"PeriodicalIF":3.4,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067176","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":"Bifurcation control for the collective behavior of delayed-coupled agents via PD controller","authors":"Yongjian Zhou,&nbsp;Tao Wang,&nbsp;Xingguang Peng","doi":"10.1016/j.cnsns.2025.108921","DOIUrl":"10.1016/j.cnsns.2025.108921","url":null,"abstract":"<div><div>How to design control algorithms to effectively regulate the collective behavior with sensing delay remains a formidable challenge. In this paper, we propose to use bifurcation control with PD controller to regulate the collective behavior under sensing delay. The controlled system exhibits the emergence of three distinct states. Bifurcation analysis reveals that the Hopf bifurcation and pitchfork bifurcation curves in the parameter space can be effectively manipulated by selecting the appropriate parameters, thereby enabling state transitions within the system. Furthermore, our findings suggest that the PD controller can influence the convergence rate towards the desired system state. Theoretical properties of these three states, in relation to physical parameters, are theoretically derived, and particle simulations are conducted to validate these theoretical findings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108921"},"PeriodicalIF":3.4,"publicationDate":"2025-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947836","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 new global optimization algorithm based on space-filling curve and auxiliary function approach and its applications","authors":"Nurullah Yilmaz","doi":"10.1016/j.cnsns.2025.108920","DOIUrl":"10.1016/j.cnsns.2025.108920","url":null,"abstract":"<div><div>Global optimization is a topic of great interest because of the many practical problems in real life. This article focuses on the unconstrained global minimization of multi-modal continuously differentiable functions, an important subclass of global optimization problems. In order to solve these problems, we develop a new global optimization technique that utilizes two fundamental concepts. The first one is the reducing dimension technique, which uses space-filling curves, while the second one involves utilizing an auxiliary function approach. We propose a new continuously differentiable auxiliary function with direct control of the slope and present the theory behind it. The auxiliary function method is combined with the space-filling curve methodology. We construct a new global optimization algorithm based on the proposed auxiliary function, space-filling curves, and local searches. We implement a comprehensive numerical test procedure to evaluate the numerical stabilization and efficiency of the proposed algorithm. For this purpose, the proposed algorithm is applied to test problems, and the obtained numerical results are compared with the results obtained by some recently proposed algorithms. Moreover, the proposed algorithm is applied to two different economic load dispatch problems, and promising results are obtained.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108920"},"PeriodicalIF":3.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143943242","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":"Standing waves with prescribed mass for NLS equations with Hardy potential in the half-space under Neumann boundary condition","authors":"Yuxuan Zhang ,&nbsp;Xiaojun Chang ,&nbsp;Lin Chen","doi":"10.1016/j.cnsns.2025.108917","DOIUrl":"10.1016/j.cnsns.2025.108917","url":null,"abstract":"&lt;div&gt;&lt;div&gt;Consider the Neumann problem: &lt;span&gt;&lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mfenced&gt;&lt;mrow&gt;&lt;mtable&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;/mtd&gt;&lt;mtd&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;Δ&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mi&gt;λ&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mtext&gt;in&lt;/mtext&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;mo&gt;≥&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;mtr&gt;&lt;mtd&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;/mtd&gt;&lt;mtd&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;∂&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;∂&lt;/mi&gt;&lt;mi&gt;ν&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mtext&gt;on&lt;/mtext&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;∂&lt;/mi&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;/mtd&gt;&lt;/mtr&gt;&lt;/mtable&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;with the prescribed mass: &lt;span&gt;&lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mo&gt;∫&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;where &lt;span&gt;&lt;math&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;/math&gt;&lt;/span&gt; denotes the upper half-space in &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;, &lt;span&gt;&lt;math&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo&gt;|&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/span&gt; is the Hardy potential, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;q&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;∗&lt;/mo&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;μ&lt;/mi&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, &lt;span&gt;&lt;math&gt;&lt;mi&gt;ν&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; stands for the outward unit normal vector to &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;∂&lt;/mi&gt;&lt;msubsup&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;/mrow&gt;&lt;/msubsup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, and &lt;span&gt;&lt;math&gt;&lt;mi&gt;λ&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; appears as a Lagrange multiplier. Firstly, by applying Ekeland’s variational principle, we establish the existence of normalized solutions that correspond to local minima of the associated energy functional. Furthermore, we find a second normalized solution of mountain pass type by employing a parameteri","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108917"},"PeriodicalIF":3.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143947835","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":"Asymptotic behavior of mild solutions to stochastic neutral functional differential equations with delay","authors":"Haide Gou,&nbsp;Min Shi","doi":"10.1016/j.cnsns.2025.108906","DOIUrl":"10.1016/j.cnsns.2025.108906","url":null,"abstract":"<div><div>This paper aims to discuss the existence, uniqueness and continuous dependence of mild solution of a class of non-autonomous stochastic neutral functional differential equations with state-dependent delay. Firstly, by using operator theory and estimates of the nonlinear term, we obtain the existence, uniqueness and continuous dependence of our concern system. Secondly, through the Arzelà–Ascoli theorem, the Schauder fixed point theorem and operator theory, we discuss the global existence asymptotic behavior of mild solution of our concern system. Then, the existence of a global forward attracting set in the mean square topology is discussed. Finally, we give an example to verify the validity of the obtained results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108906"},"PeriodicalIF":3.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941878","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 boundedness of fuzzy DP-CPS with input quantization and network attack via fuzzy dynamic parabolic controller approach","authors":"Teng-Fei Li ,&nbsp;Liming Ding ,&nbsp;Xiao-Heng Chang ,&nbsp;Ju H. Park","doi":"10.1016/j.cnsns.2025.108864","DOIUrl":"10.1016/j.cnsns.2025.108864","url":null,"abstract":"<div><div>This paper focuses on the research of nonlinear distributed parameter cyber physical systems (DP-CPS) via finite-time interval. The nonlinearity of the DP-CPS is captured through the utilization of the Takagi–Sugeno (T–S) fuzzy model, which gives rise to a class of fuzzy parabolic partial differential equation (PDE). In order to optimize the network resources, a class of dynamic quantizer is employed to quantize the measurement output and control input signals. Then a fuzzy spatial-dependent dynamic parabolic control strategy with attack is firstly proposed to simplify the control design strategy and address the issue of degraded control performance caused by the inability of traditional control methods to effectively handle spatial variations in system parameters for systems with spatially distributed characteristics. The analysis of finite-time boundedness for the fuzzy parabolic PDE is conducted based on the Lyapunov functional. The finite-time boundedness controller design conditions and the adjustment parameters for the dynamic quantizers are presented for the fuzzy closed-loop system. Additionally, an any given matrix method is employed to decouple the coupled nonlinear terms in the control design conditions. The effectiveness of the proposed control approach has been confirmed through simulation conducted on a cascaded system comprising two cylindrical lithium batteries.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108864"},"PeriodicalIF":3.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067227","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":"Privacy preserving prescribed-time consensus in second-order nonlinear multi-agent systems","authors":"Qiang Jia,&nbsp;Shihan Lu,&nbsp;Shuiming Cai","doi":"10.1016/j.cnsns.2025.108918","DOIUrl":"10.1016/j.cnsns.2025.108918","url":null,"abstract":"<div><div>In cooperative systems, information exchange is essential for achieving consensus, and the preservation of data privacy has attracted growing attention. However, most existing studies have been limited to first-order multi-agent systems. This study investigates the privacy-preserving consensus problem of second-order agents with Lipschitz-type nonlinearities. A novel masking scheme based on specific power functions is proposed to conceal the true states of the agents, which differs significantly from existing obfuscation methods. Meanwhile, by integrating a high-gain prescribed-time controller, second-order consensus is achieved within a user-defined time frame. As a consequence, the agents’ initial true states, including positions and velocities, are effectively safeguarded. A sufficient condition is derived for determining the control parameters, thereby elucidating the influence of agent dynamics, network topology, and control parameters. Additionally, despite the presence of high-gain and masking signals, the resulting controllers are proven to be bounded. Finally, several numerical examples are provided to validate the theoretical findings and demonstrate the effectiveness of the proposed control strategies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108918"},"PeriodicalIF":3.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067226","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":"Secure impulsive synchronization control of multi-agent systems under switching deception attacks on dual channel","authors":"Jiangyan He ,&nbsp;Xing Guo ,&nbsp;Zili Chen ,&nbsp;Yunbin Kuang","doi":"10.1016/j.cnsns.2025.108922","DOIUrl":"10.1016/j.cnsns.2025.108922","url":null,"abstract":"<div><div>This paper explores the mean-square bounded synchronization problem of leader-following multi-agent systems (LF-MASs) with directed graph under dual-channel stochastic switching deception attacks. Compared to previous studies, a new dual-channel stochastic switching deception attack mode is considered. Under this attack mode, the actuator receives different deception signals sourced from either the sensor-controller (S-C) channel or the controller-actuator (C-A) channel within different impulsive intervals. To tackle this challenging problem, a novel adaptive and switching secure impulsive synchronization control protocol is designed. In this new protocol, the stochastic switching manner obeys the Bernoulli distribution on each channel, and some criteria for the mean-square bounded synchronization of the LF-MASs have been obtained by applying the linear matrix inequality technique, matrix analytic theory and Lyapunov stability theory. Further, under periodically variable impulsive time windows (PVITW), the impact of minor deviations in the triggering moments on the synchronization bounds is discussed. Finally, three examples are given to verify the obtained results.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108922"},"PeriodicalIF":3.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143941880","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}