Communications in Nonlinear Science and Numerical Simulation最新文献_第2页

Composite anti-disturbance path tracking control for the unmanned vehicle under complex driving conditions

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108803

Yuzhan Wu , Chenlong Li , Guanghong Gong , Junyan Lu

{"title":"Composite anti-disturbance path tracking control for the unmanned vehicle under complex driving conditions","authors":"Yuzhan Wu , Chenlong Li , Guanghong Gong , Junyan Lu","doi":"10.1016/j.cnsns.2025.108803","DOIUrl":"10.1016/j.cnsns.2025.108803","url":null,"abstract":"<div><div>The path tracking control of unmanned vehicles in complex driving conditions is frequently challenged by the model uncertainty and the external disturbance, such as the crosswind disturbance, which brings difficulties to the path tracking control. Therefore, to address the path tracking control of unmanned vehicles under complex driving conditions, a composite anti-disturbance path tracking control approach using multi-dimensional Taylor network (MTN) is proposed. First, based on the mechanism modeling of unmanned vehicles, the uncertainty is described by the MTN data-driven model; design the MTN disturbance observer to characterize the influence of the crosswind disturbance; the improved Back Propagation (BP) algorithm is proposed and treated as the learning algorithm of the MTN data-driven model and the MTN disturbance observer; the convergence of the MTN is proved. Then, design the MTN finite time controller, which tracks the reference path quickly and accurately based on principle of “feedforward compensation and feedback suppression”; according to the finite time control theory, the finite-time stability proof of closed-loop system is given. Finally, experimental simulations have been conducted, and the results show that the proposed approach can effectively track the path under complex driving conditions, and has good tracking performance, anti-disturbance performance, real-time performance, and strong robustness performance.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108803"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748323","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

Robust exponential stability of non-deterministic fuzzy neural networks: A global unidirectional quaternary implicit criterion

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108779

Wenxiao Si , Shigen Gao , Tao Wen , Ning Zhao

{"title":"Robust exponential stability of non-deterministic fuzzy neural networks: A global unidirectional quaternary implicit criterion","authors":"Wenxiao Si , Shigen Gao , Tao Wen , Ning Zhao","doi":"10.1016/j.cnsns.2025.108779","DOIUrl":"10.1016/j.cnsns.2025.108779","url":null,"abstract":"<div><div>This paper provides a sufficient criterion for robust global exponential stability (RGES) of non-deterministic fuzzy neural networks (NDFNNs), where “non-deterministic” feature maps the effect of the variability of piecewise constant argument (PCAs), derivative term coefficients (DTCs) and twofold uncertain connection weights.To determine the supremum of the non-deterministic parameters, an algorithm for the global unidirectional sequential calculation is designed, including the feasible domain of the connection weight intensities that interfere with the transient performance of NDFNNs. Furthermore, the existence and uniqueness of the solution of NDFNNs are further elucidated. These are achieved by solving quaternary implicit transcendental equations utilizing Gronwall inequality. Compared to previous results, an additional geometric representation of the allowable intensity of connection weights is provided, accounting for the influence of PCAs and DTCs, is given. The designed algorithm based on unidirectional quaternary implicit criterion fully considers the sequential relation of update process. Specifically, the unidirectional algorithm enables the supremum of subsequent elements to depend on previously computed ones, creating a coupled relationship and enhancing accuracy. Finally, the validity of the theoretical results for ensuring the RGES of NDFNNs is illustrated by the simulation cases.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108779"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738759","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

Random walks over weighted complex networks: Are the most occupied nodes the nearest ones?

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108778

Pablo Medina , Tomás P. Espinoza , Sebastián C. Carrasco , Reinaldo R. Rosa , José Rogan , Juan Alejandro Valdivia

{"title":"Random walks over weighted complex networks: Are the most occupied nodes the nearest ones?","authors":"Pablo Medina , Tomás P. Espinoza , Sebastián C. Carrasco , Reinaldo R. Rosa , José Rogan , Juan Alejandro Valdivia","doi":"10.1016/j.cnsns.2025.108778","DOIUrl":"10.1016/j.cnsns.2025.108778","url":null,"abstract":"<div><div>In this paper, we study the relationship between occupation and closeness of nodes for particles moving in a random walk on weighted complex networks, such that the adjacency and transition matrices define the <em>outgoing neighbors</em> of a node and transition probabilities to them, respectively, for packages that pass through the node in question. To answer this question for different network topologies and transition probabilities, we propose two new planes involving occupation, closeness, and transient time, which characterize the transport properties of the networks, as opposed to the more static representations of the network, as previously reported. The first plane provides a local relation between occupation and closeness of nodes, while the second plane relates the average closeness and average transient time to converge to the asymptotic state of the network as a whole. We compare 16 different topologies considering complex real-world and synthetic networks. In all the cases considered, we found an approximate inverse relation between occupation and closeness of nodes, and a direct relation between the global transient time and average closeness of the network. The calculations are done directly from the network topology and transition probabilities, but they can also be estimated by directly simulating the network transport. Hence, these planes provide a complementary view of the transportation dynamics on complex networks.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108778"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739028","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

Nonlinear marine predator algorithm for robust identification of fractional hammerstein nonlinear model under impulsive noise with application to heat exchanger system 应用于热交换器系统的非线性海洋捕食者算法，用于鲁棒识别脉冲噪声下的分数锤斯坦非线性模型

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108809

Zeshan Aslam Khan , Taimoor Ali Khan , Muhammad Waqar , Naveed Ishtiaq Chaudhary , Muhammad Asif Zahoor Raja , Chi-Min Shu

{"title":"Nonlinear marine predator algorithm for robust identification of fractional hammerstein nonlinear model under impulsive noise with application to heat exchanger system","authors":"Zeshan Aslam Khan , Taimoor Ali Khan , Muhammad Waqar , Naveed Ishtiaq Chaudhary , Muhammad Asif Zahoor Raja , Chi-Min Shu","doi":"10.1016/j.cnsns.2025.108809","DOIUrl":"10.1016/j.cnsns.2025.108809","url":null,"abstract":"<div><div>Identification of stiff nonlinear systems is considered as one of the challenging tasks and research community is providing promising solution for identification of these systems. Researchers have concluded that integration of fractional calculus provides better insight and understanding of complex systems by keeping the previous history. In this study, nonlinear marine predator optimization algorithm (NMPA) is used for the identification of fractional Hammerstein control autoregressive system (FHCAR) with Gaussian as well as impulsive noise. Further, a practical example of heat exchanger system modeled with FHCAR structure, is considered to analyze the knacks of NMPA in terms of convergence, robustness and stability. Grunwald-Letnikov's concept of fractional calculus derivative is used to transform standard Hammerstein control autoregressive system into FHCAR system. Mean square error-based fitness function is used to examine the performance of NMPA for identification of 4th order nonlinear FHCAR system for all three case studies i.e., FHCAR with Gaussian noise, FHCAR with impulsive noise and heat exchanger system identification. The performance of NMPA is observed in terms of fast convergence, accuracy, stability, robustness and accuracy in estimation of correct parameters of the system for multiple noise scenarios and the superiority is endorsed through comparison with the recent counterparts i.e., Gazelle optimization algorithm, Runge Kutta optimization method, Whale optimization algorithm, Harris Hawks optimization algorithm and African vulture optimization algorithm.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108809"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735089","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

A bilevel approach to biobjective inverse optimal control of nonlinear fermentation system with uncertainties

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108780

Juan Wang , Feiyan Zhao , Jianxiong Ye , Jichao Wang

{"title":"A bilevel approach to biobjective inverse optimal control of nonlinear fermentation system with uncertainties","authors":"Juan Wang , Feiyan Zhao , Jianxiong Ye , Jichao Wang","doi":"10.1016/j.cnsns.2025.108780","DOIUrl":"10.1016/j.cnsns.2025.108780","url":null,"abstract":"<div><div>Inverse optimal control is a framework to deal with the optimal control of dynamical systems with uncertain parameters. Bioconversion of glycerol to 1,3-propanediol in continuous fermentation is a complex cellular metabolic process in nature. Due to the unclear metabolic mechanisms and the lack of experimental data of intracellular concentrations, kinetic parameters of the fermentation system are often to a certain degree uncertain. This paper proposes a biobjective inverse optimal control problem with functional inequality constraints to describe the process control of glycerol continuous fermentation system considering the uncertainties of kinetic parameters, where the objectives are formulated based on the biological robustness and the <em>settling time</em> under approximately stable state. A novel distance-based stochastic comparison principle is designed to handle the complex constraints. A bilevel approach using nested strategy is also constructed to solve the biobjective bilevel problem, which is a combination of whale optimization algorithm with the new comparison principle for the lower level and chaotic competitive differential evolution algorithm for the upper level. Numerical comparisons show that the novel comparison principle has certain advantages in convergence speed for 13 benchmark functions compared with two other constraint handling techniques and the obtained optimal dilution rate is effective to avoid glycerol waste for about 30 h. Numerical results show that the proposed bilevel algorithm is effective and practicable to the complex real problem.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108780"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143724615","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

Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108777

V. Eclerová , A.E. Botha

{"title":"Bifurcations of the superconductor–ferromagnet–superconductor φ0 Josephson junction","authors":"V. Eclerová , A.E. Botha","doi":"10.1016/j.cnsns.2025.108777","DOIUrl":"10.1016/j.cnsns.2025.108777","url":null,"abstract":"<div><div>A general method is presented to study the bifurcations that occur in models of anomalous <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> Josephson junctions. To demonstrate the method, a bifurcation analysis is made of the superconductor–ferromagnet–superconductor <span><math><msub><mrow><mi>φ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> Josephson junction, in which the Josephson to magnetic energy ratio and the direct current bias are used as the two control parameters. The recently developed embedding technique facilitates the use of standard numerical continuation techniques for the analysis. It reveals that the stability limit can be disrupted through either a Neimark–Sacker or period-doubling bifurcation. The corresponding one-parameter bifurcation manifolds delineate the regions in which further destabilisation occurs, finally leading to chaos. Furthermore, it is shown that the Floquet multipliers along the Neimark–Sacker bifurcation curve signal the synchronisation on the torus. Bi-stability also occurs in the system and is shown to originate from the generalised period-doubling and Chenciner bifurcations. The identification of regions in the parameter space where bi-stability occurs is important for applications which exploit such bi-stability to achieve controlled reorientation of the magnetisation and/or the switching from one voltage state to another.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108777"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108799

Sifeu Takougang Kingni , Paul Woafo

{"title":"Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators","authors":"Sifeu Takougang Kingni , Paul Woafo","doi":"10.1016/j.cnsns.2025.108799","DOIUrl":"10.1016/j.cnsns.2025.108799","url":null,"abstract":"<div><div>In recent years, the effects of heredity on dynamical systems have been analysed using the fractional derivative. But, another way of considering the heredity is the integral formulation</div><div>proposed by Vito Volterra in 1912 and later almost forgotten. It can also be termed as long duration feedback. This paper presents some of the results of this formulation of the heredity on the dynamics of a linear harmonic oscillator and on that of the Duffing oscillator which are representatives of oscillating mechanical structures. For the linear oscillator, the heredity amplifies the vibration amplitude and shifts the resonance frequency to higher values. For the hereditary hardening Duffing oscillator, the analysis of the stability of the single equilibrium point reveals the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. This leads to self-sustained oscillations which are determined mathematically using the averaging method and confirmed numerically. The heredity also modifies the length of the hysteresis domain through the change of the effective stiffness and damping coefficients. It can also be a source of chaos in a system free of chaos which can appear through quasiperiodic routes and period-doubling. For the hereditary Duffing oscillator with single hump and double well potential or the bistable Duffing oscillator with three equilibrium points, one also finds the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. The hereditary bistable Duffing oscillator unveils monostable and bistable periodic characteristics, period doubling to monostable and bistable chaos and coexistence between chaotic and periodic characteristics.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108799"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725217","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

Two-grid FEM for fractional diffusion problems with limited regularity

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-22 DOI: 10.1016/j.cnsns.2025.108776

Mariam Al-Maskari, Samir Karaa

引用次数: 0

Bivariate substitutions from analytic kernels to fractional differintegral operators

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-21 DOI: 10.1016/j.cnsns.2025.108774

Sunday Simon Isah , Arran Fernandez , Mehmet Ali Özarslan

引用次数: 0

Extended thermodynamic and mechanical evolution criterion for fluids

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108775

David Hochberg , Isabel Herreros

{"title":"Extended thermodynamic and mechanical evolution criterion for fluids","authors":"David Hochberg , Isabel Herreros","doi":"10.1016/j.cnsns.2025.108775","DOIUrl":"10.1016/j.cnsns.2025.108775","url":null,"abstract":"<div><div>The Glansdorff and Prigogine General Evolution Criterion (GEC) is an inequality that holds for macroscopic physical systems obeying local equilibrium and that are constrained under time-independent boundary conditions. The latter, however, may prove overly restrictive for many applications involving fluid flow in physics, chemistry and biology. We therefore analyze in detail a physically more-encompassing evolution criterion for time-dependent convective viscous flows with time-dependent boundary conditions: The Extended General Evolution Criterion (EGEC). The result is an inequality involving the sum of a bulk volume and a surface contribution, and reduces to the GEC if and only if the surface term is zero. We first use the closed-form analytical solution of the Poiseuille starting flow problem in straight cylindrical pipes to confirm the validity of the EGEC. Next, we validate both the Poiseuille starting flow problem and the EGEC numerically. Numerical methods are employed to test the EGEC in not fully developed flows within complex geometries, including curvature and torsion, such as those encountered in helical pipes. Notably, knowledge of only the algebraic sign of the surface contribution is sufficient to predict how the volume thermodynamic forces evolve over time and how the system approaches its non-equilibrium stationary state, consistent with the boundary conditions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108775"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748320","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