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Nonlinear time-varying actuator fault-tolerant control for a nonlinear high-rise building system with uncertain control direction and output constraints
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108697
Mengru Wang, Jinkun Liu
{"title":"Nonlinear time-varying actuator fault-tolerant control for a nonlinear high-rise building system with uncertain control direction and output constraints","authors":"Mengru Wang,&nbsp;Jinkun Liu","doi":"10.1016/j.cnsns.2025.108697","DOIUrl":"10.1016/j.cnsns.2025.108697","url":null,"abstract":"<div><div>The high-rise buildings are prone to vibration due to external disturbance. To ensure residents’ lives and property security, the vibration suppression problem of high-rise buildings has attracted extensive attention from researchers. As a large flexible structure, the high-rise building is more accurate in modeling and control using partial differential equations (PDE). Based on the nonlinear PDE model, an adaptive fault-tolerant control law incorporating both Nussbaum function and Barrier Lyapunov function is proposed. Vibration suppression of the high-rise building is achieved under uncertain control direction and nonlinear time-varying actuator faults, while ensuring that the system output remains within a specified range. In addition, it is demonstrated via the Lyapunov method that all closed-loop signals remain uniformly bounded. The effectiveness of control method is verified by numerical simulation.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108697"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487669","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
Dynamic memory event-triggered adaptive neural prescribed-time bipartite consensus control for high-order MASs with privacy preservation
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108693
Fansen Wei , Ning Xu , Xudong Zhao , Lun Li , A.A. Al-Barakati
{"title":"Dynamic memory event-triggered adaptive neural prescribed-time bipartite consensus control for high-order MASs with privacy preservation","authors":"Fansen Wei ,&nbsp;Ning Xu ,&nbsp;Xudong Zhao ,&nbsp;Lun Li ,&nbsp;A.A. Al-Barakati","doi":"10.1016/j.cnsns.2025.108693","DOIUrl":"10.1016/j.cnsns.2025.108693","url":null,"abstract":"<div><div>In this paper, an adaptive neural prescribed-time bipartite consensus tracking control scheme is investigated for nonlinear high-order multi-agent systems (HOMASs) with privacy preservation. Under the prescribed-time tracking control framework via the backstepping technique, among agents both cooperative and competitive relationships are considered. Moreover, a novel time-varying function is introduced to deal with the singularity problem in existing prescribed-time control methods. Then, a privacy protection mechanism is constructed by utilizing the mask function to protect the whole HOMASs rather than the initial information of a single agent from being leaked, and the privacy preservation time can be preset according to actual needs. In addition, a dynamic memory event-triggered mechanism that considers historical data and current information for dynamic variables is proposed to reduce communication loss. Based on the practical prescribed-time stability criterion and Lyapunov function approach, it is proven that bipartite consensus error can converge to the neighborhood of the origin in prescribed time. Finally, the simulation result is given to show the feasibility of the proposed control scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108693"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143520325","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
Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108716
Reshma Ramaswami, Vinodkumar Arumugam, Sriramakrishnan Pathmanaban
{"title":"Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption","authors":"Reshma Ramaswami,&nbsp;Vinodkumar Arumugam,&nbsp;Sriramakrishnan Pathmanaban","doi":"10.1016/j.cnsns.2025.108716","DOIUrl":"10.1016/j.cnsns.2025.108716","url":null,"abstract":"<div><div>Certain Lyapunov conditions for the finite-time stability (FTS) and global FTS of a general nonlinear disturbed fractional ordered system is established initially. A settling time depending on the initial conditions of the system is introduced ensuring the FTS of the system and the result is then extended to global FTS. Secondly, FTS of a fractional ordered nonlinear disturbed neural network is examined using a linear matrix inequality (LMI). Finally, a few examples are depicted to validate the established results. Further, the models are extended to design novel image encryption algorithms based on FTS, which is seen to be more efficient than the existing methods. The qualitative and quantitative results proves that the models performed well with images and ensured secure communication between sender and receiver.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108716"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507505","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
On the modeling of sound sources in waveguides with structural variations and sound-absorbent materials
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108714
Muhammad Afzal , Naveed Ahmed , Muhammad Safdar , Muhammad Umar
{"title":"On the modeling of sound sources in waveguides with structural variations and sound-absorbent materials","authors":"Muhammad Afzal ,&nbsp;Naveed Ahmed ,&nbsp;Muhammad Safdar ,&nbsp;Muhammad Umar","doi":"10.1016/j.cnsns.2025.108714","DOIUrl":"10.1016/j.cnsns.2025.108714","url":null,"abstract":"<div><div>This paper uses analytical methods, including mode-matching techniques and Fourier transforms, to model sound sources in waveguides, particularly in scenarios with structural variations and sound-absorbent materials. The effectiveness of these methods in solving the governing boundary value problem is demonstrated, particularly focusing on understanding sound power output from monopole sources in pipes or ducts. Through numerical experiments, the study explores how factors like structural dimensions, material properties, and source characteristics influence sound attenuation within waveguide structures, highlighting their crucial role in shaping acoustic attenuation properties.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108714"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507504","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
Analysis of a new time filter algorithm for the convection problem of superposition of incompressible flow and porous media flow
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108684
Xueting Yang , Yi Qin , Yi Li , Jian Li
{"title":"Analysis of a new time filter algorithm for the convection problem of superposition of incompressible flow and porous media flow","authors":"Xueting Yang ,&nbsp;Yi Qin ,&nbsp;Yi Li ,&nbsp;Jian Li","doi":"10.1016/j.cnsns.2025.108684","DOIUrl":"10.1016/j.cnsns.2025.108684","url":null,"abstract":"<div><div>In this paper, an efficient numerical algorithm is proposed to solve the convection problem in the superposition of incompressible flow and porous media flow. The displayed numerical method is a first-order <span><math><mi>γ</mi></math></span>-scheme of linear multi-step methods plus time filter algorithm(LMTF), and can effectively increase the convergence order from the first order to the second order with almost no increasing in computation, and easy to implement in program. The stability and error estimation of the decoupled LMTF algorithm are analyzed theoretically. Meanwhile, three numerical experiments are given to illustrate the theoretical results and to show that the second-order convergence, high efficiency and effectiveness of the algorithm. The results demonstrate that the algorithm effectively simulates the geothermal system.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108684"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143507513","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
Fixed-time trajectory tracking for multi-fault nonlinear systems: A passive fault-tolerant control scheme
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108709
Zhumu Fu , Yueyang Wang , Fazhan Tao , Nan Wang
{"title":"Fixed-time trajectory tracking for multi-fault nonlinear systems: A passive fault-tolerant control scheme","authors":"Zhumu Fu ,&nbsp;Yueyang Wang ,&nbsp;Fazhan Tao ,&nbsp;Nan Wang","doi":"10.1016/j.cnsns.2025.108709","DOIUrl":"10.1016/j.cnsns.2025.108709","url":null,"abstract":"<div><div>Considering the issue that the current fixed-time stability theory has a setting-time upper bound far greater than the actual stability time, an improved fixed-time control scheme with a more compact setting-time upper bound is proposed. This scheme combines passive fault-tolerant control (FTC) and adaptive fuzzy technology to design an adaptive fuzzy fixed-time fault-tolerant controller that addresses the tracking control problem of uncertain nonlinear systems with multiple actuator faults and compensates for irregular nonlinear fluctuations of the system resulting from fault functions. Compared to active FTC, passive FTC has significant advantages in convergence speed and computational complexity due to not require fault detection and controller reconstruction. Additionally, considering multiple actuator faults and aiming for a more compact setting-time upper bound aligns better with the control requirements of practical industrial production. Finally, simulation results validate the effectiveness of the proposed controller.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108709"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487651","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
Non-smooth climate change and emergent novel equilibria in an environmental-economic system
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108686
Anton Bondarev , Alfred Greiner
{"title":"Non-smooth climate change and emergent novel equilibria in an environmental-economic system","authors":"Anton Bondarev ,&nbsp;Alfred Greiner","doi":"10.1016/j.cnsns.2025.108686","DOIUrl":"10.1016/j.cnsns.2025.108686","url":null,"abstract":"<div><div>In this paper we study a basic model of economic growth where we integrate a zero-dimensional energy balance model of the earth. The albedo of the earth, which determines the share of reflected sunlight, is a piecewise smooth function of the average surface temperature. Thus, we take into account possible feedback effects of a higher temperature. The analysis of the model shows that the model with a jump in the albedo has either a unique regular steady-state or two regular steady-states. When the albedo is described by a piecewise linear function there exists a non-degenerate pseudo-equilibrium where the temperature stabilizes at the upper switching point of the albedo with a strictly positive level of consumption.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108686"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487670","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
A thermodynamically consistent discretization of 1D thermal-fluid models using their metriplectic 4-bracket structure
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108683
William Barham , Philip J. Morrison , Azeddine Zaidni
{"title":"A thermodynamically consistent discretization of 1D thermal-fluid models using their metriplectic 4-bracket structure","authors":"William Barham ,&nbsp;Philip J. Morrison ,&nbsp;Azeddine Zaidni","doi":"10.1016/j.cnsns.2025.108683","DOIUrl":"10.1016/j.cnsns.2025.108683","url":null,"abstract":"<div><div>Thermodynamically consistent models in continuum physics, i.e. models which satisfy the first and second laws of thermodynamics, may be expressed using the metriplectic formalism. In this work, we leverage the structures underlying this modeling formalism to preserve thermodynamic consistency in discretizations of a fluid model. The procedure relies (1) on ensuring that the spatial semi-discretization retains certain symmetries and degeneracies of the Poisson and metriplectic 4-brackets, and (2) on the use of an appropriate energy conserving time-stepping method. The minimally simple yet nontrivial example of a one-dimensional thermal-fluid model is treated. It is found that preservation of the requisite symmetries and degeneracies of the 4-bracket is relatively simple to ensure in Galerkin spatial discretizations, suggesting a path forward for thermodynamically consistent discretizations of more complex fluid models using more specialized Galerkin methods.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108683"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577253","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
Non-weighted H∞ exponential output synchronization for time-delay heterogeneous multi-agent systems with switching topology via distributed observer compensation
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-24 DOI: 10.1016/j.cnsns.2025.108719
Meijie Zhang , Xinsong Yang , Yaping Sun , Yonggui Kao , Pengyang Tang
{"title":"Non-weighted H∞ exponential output synchronization for time-delay heterogeneous multi-agent systems with switching topology via distributed observer compensation","authors":"Meijie Zhang ,&nbsp;Xinsong Yang ,&nbsp;Yaping Sun ,&nbsp;Yonggui Kao ,&nbsp;Pengyang Tang","doi":"10.1016/j.cnsns.2025.108719","DOIUrl":"10.1016/j.cnsns.2025.108719","url":null,"abstract":"<div><div>This paper studies the exponential <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> output synchronization of time-delay heterogeneous multi-agent systems (TDHMASs) with switching topology. The TDHMAS simultaneously considers switching topology, node delay, and dimensional heterogeneity. Without directly using the information of the leader, a mode-dependent dynamic controller is designed based on each agent’s internal compensation term derived by a distributed observer for the leader. Unlike existing analysis techniques that designed mode-dependent Lyapunov–Krasovskii functionals (LKFs) jump high after each switching instant, our approach ensures the monotonic decrease of the designed LKF in the entire time domain, which essentially reduces the conservativeness of the results. The merits of methods in this paper are twofold: (a) It can be easily extended to non-weighted <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> output synchronization of switched time-delay systems; (b) Both the observer gain and the controller gain of each mode are simultaneously designed by solving linear matrix inequalities (LMIs). Numerical simulations illustrate the advantages of our results, including the satisfactory estimation of the non-weighted <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance compared to external disturbance and the monotonic decrease of the designed LKF.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"145 ","pages":"Article 108719"},"PeriodicalIF":3.4,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487654","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
An Enriched Galerkin (EG) method for multicomponent porous media flow with nonlinear coupling
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-22 DOI: 10.1016/j.cnsns.2025.108613
Dongchun Tang , Shuyu Sun , Minfu Feng
{"title":"An Enriched Galerkin (EG) method for multicomponent porous media flow with nonlinear coupling","authors":"Dongchun Tang ,&nbsp;Shuyu Sun ,&nbsp;Minfu Feng","doi":"10.1016/j.cnsns.2025.108613","DOIUrl":"10.1016/j.cnsns.2025.108613","url":null,"abstract":"<div><div>In this paper, we discuss fully discrete numerical methods for the multicomponent compressible single-phase Darcy flow in porous media. The new compressible pressure equation is based on the volume balance approach while considering the decomposition of the diffusion-dispersion tensor into two parts to obtain a self-consistent coupled nonlinear model. Similar to conventional approaches, the numerical decoupling of the system is through a pressure equation, which can be used to calculate the pressure and Darcy velocity by using the concentration from the previous time step. The novelty of this work is a new formulation of the consistent pressure equation based on the multicomponent setting. The conventional approach, however, typically uses a pressure equation derived from a single-pseudo-component setting, which is not consistent physically; the physical inconsistency at the PDE level also yields certain inconsistencies at the numerical discretization. The new pressure equation formulated in this work overcomes the difficulties on both the PDE level and the discretization level. We use the enriched Galerkin (EG) methods to approximate the mass conservation law of each component, followed by substitution of the discrete Darcy law to obtain a numerical discretization of the species transport equations. We then carried out a weighted summation of the species transport equations to obtain the discrete pressure equation, which gave us a self-consistent decoupling numerical scheme. At the end of this article, error analyses for semi-discrete and fully discrete cases are presented, and the theoretical conclusions are verified through numerical experiments.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108613"},"PeriodicalIF":3.4,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642074","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
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