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Lyapunov-based fault-tolerant control of stochastic switched systems via K-nearest neighbors switching detection and joint fault estimation 基于k近邻切换检测和联合故障估计的随机切换系统lyapunov容错控制
IF 3.2 Q3 Mathematics Pub Date : 2025-10-22 DOI: 10.1016/j.rico.2025.100625
Salwa Yahia , Saida Bedoui , Kamel Abderrahim
This paper introduces a new approach to designing fault-tolerant H control systems for stochastic switched system. The main objective is to address actuator faults and unanticipated shifts in the system’s operational mode. The proposed method uses a K-Nearest Neighbors (KNN) algorithm to quickly determine the system’s current mode. It also develops an augmented observer that can simultaneously estimate the system’s current state and any actuator faults. The novel proposed fault-tolerant control (FTC) strategy is designed to be robust and reliable. Using Linear Matrix Inequalities (LMIs) and Lyapunov stability analysis alongside an H objective, it guarantees strong performance. The effectiveness of this integrated approach are thoroughly substantiated through extensive numerical simulations, with a detailed case study demonstrating its practical application in two distinct scenarios: a two-pendulum system and a vehicle rollover prevention system.
本文介绍了一种设计随机切换系统的容错H∞控制系统的新方法。主要目标是解决执行器故障和系统运行模式中的意外变化。该方法使用k近邻(KNN)算法快速确定系统的当前模式。它还开发了一个增强观测器,可以同时估计系统的当前状态和任何执行器故障。所提出的容错控制策略具有鲁棒性和可靠性。利用线性矩阵不等式(lmi)和李雅普诺夫稳定性分析以及H∞目标,保证了较强的性能。这种综合方法的有效性通过广泛的数值模拟得到了充分的证实,并通过详细的案例研究展示了其在两种不同情况下的实际应用:双摆系统和车辆防侧翻系统。
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引用次数: 0
Energy-saving optimization of server multi-fan control system based on weighting mechanism and evolution strategy 基于加权机制和进化策略的服务器多风扇控制系统节能优化
IF 3.2 Q3 Mathematics Pub Date : 2025-10-20 DOI: 10.1016/j.rico.2025.100620
Chun-Wei Lan , Chien-Ming Lee , Kai-Yang Tung , Rongshun Chen
Each server in data centers is equipped with multiple fans and heat-generating components. Factors such as fans speed, layout of components, and loading scenarios, will influence the airflow and thermal flow fields within a server. Hence, a server thermal control is classified as a Multi-Input Multi-Output (MIMO) nonlinear control system, which cannot be analyzed and controlled using simple linear system method. By using the weighting mechanism of different weighting values for each cooling fan to asynchronously modulate multiple fans, and combining the Evolutionary Strategy (ES) algorithm with designing fitness functions, this study realizes the multi-fan thermal control system for a server. The developed system can attain approximately optimal weightings within a limited number of searches, based on different loading scenarios. By modulating fans asynchronously with these weightings, the system can achieve approximately optimal energy-saving while still meet the thermal specifications in a server; that is the allowed highest temperature of CPU and PCIe. Compared to modulating fans synchronously, the multi-fan control system modulating fans asynchronously saves an average of 43.1% of the total fans power, and only need to search 14.2% of all weighting options under the eight designed loading scenarios for experiments. Furthermore, the probability of each approximate optimal weighting corresponding to global optimal solution is 47.5%. Experimental results demonstrate that the pro- posed asynchronously modulating multi-fan control system can simultaneously satisfy the thermal specifications and achieves approximately optimal energy-saving for a server. As a result, the developed system is feasible with excellent performance for significant energy saving, while it is no need to construct a mathematical thermal models or to analyze numerous datasets. In the future, by adjusting the code parameters of system, it may be to be applied to various types of servers.
数据中心的每台服务器都配备了多个风扇和发热部件。风扇转速、组件布局、负载场景等因素都会影响服务器内部的气流和热流场。因此,服务器热控制属于多输入多输出(MIMO)非线性控制系统,不能用简单的线性系统方法进行分析和控制。采用每个散热风扇不同权重值的加权机制,对多个风扇进行异步调节,并将进化策略算法与设计适应度函数相结合,实现了一台服务器的多风扇热控系统。所开发的系统可以基于不同的加载场景,在有限的搜索次数内获得近似最优的权重。通过与这些权重异步调制风扇,系统可以在满足服务器散热要求的同时实现近似最佳节能;即CPU和PCIe允许的最高温度。与同步调制风机相比,多风机控制系统异步调制风机平均节省风机总功率的43.1%,在设计的8种负载场景下,只需要搜索所有权重选项的14.2%即可进行实验。每个近似最优权值对应全局最优解的概率为47.5%。实验结果表明,所提出的异步调制多风扇控制系统能够同时满足服务器的散热要求并达到近似最优的节能效果。因此,所开发的系统是可行的,性能优异,节能效果显著,且不需要建立数学热模型或分析大量数据集。在未来,通过调整系统的代码参数,它可能适用于各种类型的服务器。
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引用次数: 0
Controlling illicit alcohol consumption through awareness and disulfiram: A mathematical study 通过意识和双硫仑控制非法酒精消费:一项数学研究
IF 3.2 Q3 Mathematics Pub Date : 2025-10-16 DOI: 10.1016/j.rico.2025.100621
Sanju Sardar, Satyajit Mukherjee, Priti Kumar Roy
Methanol poisoning is a major and highly concerning public health issue worldwide, particularly in developing and underdeveloped countries. Factors, such as inadequate regulations, lack of awareness about its dangers, and deeply rooted cultural traditions play a major role in the widespread consumption of adulterated alcohol. To address such challenges, we propose a four-dimensional mathematical model to analyze the impact of awareness interventions on reducing methanol toxicity and illicit alcohol consumption. Some basic properties of the model, such as non-negativity, boundedness, existence of equilibria, and their stability, have been analyzed. An optimal control system is developed by incorporating two control measures—awareness campaigns and anti-drinking medication to minimize illegal alcohol consumption and related management costs. We establish the existence of an optimal control pair and characterize it through Pontryagin’s minimum principle. To ensure robustness and understand parameter influence, Latin Hypercube Sampling (LHS) and Sobol sensitivity analysis are used for model validation and sensitivity assessment. We also perform a cost-effectiveness analysis using the Average Cost-Effectiveness Ratio (ACER) to identify the most economically efficient intervention strategy. All analytical findings of the study are demonstrated and validated through numerical simulations.
甲醇中毒是世界范围内,特别是发展中国家和不发达国家高度关注的重大公共卫生问题。监管不足、对其危险缺乏认识以及根深蒂固的文化传统等因素在掺假酒精的广泛消费中发挥了重要作用。为了应对这些挑战,我们提出了一个四维数学模型来分析意识干预对减少甲醇毒性和非法酒精消费的影响。分析了该模型的非负性、有界性、平衡点的存在性及其稳定性等基本性质。通过结合两项控制措施-提高认识运动和抗饮酒药物-制定了最优控制系统,以尽量减少非法饮酒和相关管理费用。建立了最优控制对的存在性,并利用庞特里亚金最小原理对其进行了刻画。为了确保鲁棒性并了解参数的影响,使用拉丁超立方体采样(LHS)和Sobol灵敏度分析进行模型验证和灵敏度评估。我们还使用平均成本效益比(ACER)进行成本效益分析,以确定最经济有效的干预策略。所有的分析结果都通过数值模拟进行了论证和验证。
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引用次数: 0
Comprehensive plant layout optimization for empty fruit bunch biodiesel production: A multi-floor MINLP approach with safety integration 空果束生物柴油生产的综合厂房布局优化:安全集成的多层MINLP方法
IF 3.2 Q3 Mathematics Pub Date : 2025-10-13 DOI: 10.1016/j.rico.2025.100624
Somboon Sukpancharoen , Chayangkul Janta-in , Pakon Sakdee , Thongchai Rohitatisha Srinophakun
Multi-floor layout optimization for empty fruit bunch (EFB) biodiesel plants presents a large-scale computational challenge requiring simultaneous consideration of economics, safety, and structural constraints. This study formulates a Mixed-Integer Nonlinear Programming (MINLP) model for multi-floor plant layout that co-optimizes equipment materials, floor assignments, section placement, and passive protection under quantified safety. The model is implemented in the General Algebraic Modeling System (GAMS) and solved using a three-stage decomposition—(i) material selection and structural capacity, (ii) section-level multi-floor layout, and (iii) plant-wide section integration—because a monolithic MINLP exceeds academic license limits and fails to converge within a standard time budget, whereas the staged approach solves with tight optimality gaps (total CPU 22.97 min). In a 1,000 t/d EFB case (57 items, seven sections), the optimized design reduces total capital by 28.9 %, cuts land footprint by 51.97 %, and—under Dow’s Fire and Explosion Index (F&EI) separations with device crediting—lowers Maximum Probable Property Damage (MPPD) before protection by 18.8 % and after protection by 69.0 %. The decomposition strategy demonstrates that complex industrial layout problems with safety constraints can be solved efficiently using hierarchical approaches, providing a framework applicable to other multi-criteria facility design challenges in the chemical and energy sectors.
空果串(EFB)生物柴油厂的多层布局优化提出了一个大规模的计算挑战,需要同时考虑经济性、安全性和结构约束。本研究建立了多层厂房布局的混合整数非线性规划(MINLP)模型,该模型在量化安全条件下对设备材料、楼层布置、剖面布置和被动防护进行了协同优化。该模型在通用代数建模系统(GAMS)中实现,并使用三阶段分解(i)材料选择和结构容量,(ii)分段级多层布局,以及(iii)全厂范围的剖面集成)来解决问题,因为单片MINLP超过了学术许可限制,无法在标准时间预算内实现融合,而分阶段方法解决了紧密的最优性差距(总CPU 22.97分钟)。在1000吨/天的EFB情况下(57个项目,7个部分),优化设计减少了28.9%的总资本,减少了51.97%的土地占用,并且根据陶氏火灾和爆炸指数(F&;EI)与设备信用分离,最大可能财产损失(MPPD)在保护前降低了18.8%,在保护后降低了69.0%。该分解策略表明,具有安全约束的复杂工业布局问题可以使用分层方法有效地解决,为化工和能源部门的其他多标准设施设计挑战提供了适用的框架。
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引用次数: 0
Quadratic Diophantine fuzzy sentiment-based nonlinear decision-making for medical diagnostics through soft sets and cognitive maps 基于软集和认知图的二次丢番图模糊情感的非线性医疗诊断决策
IF 3.2 Q3 Mathematics Pub Date : 2025-10-10 DOI: 10.1016/j.rico.2025.100622
Faisal Yousafzai , Muhammad Danish Zia , Yuan Miao , Saleem Abdullah , Yiu-Yin Lee
Decision-making is a complex process influenced by multiple factors, including available data, expert knowledge, contextual variables, stakeholder preferences, and emotional considerations. Despite the numerous methodologies proposed in recent years, there remains a need for more effective and intelligent techniques that address uncertainty in nonlinear, sentiment-based decision-making environments. In this paper, we develop and apply advanced nonlinear fuzzy models using quadratic Diophantine fuzzy soft sets and quadratic Diophantine fuzzy cognitive maps, with a particular focus on patient well-being through medical sentiment analysis. We begin with the quadratic Diophantine fuzzy soft set method to enhance the assessment of patient conditions through the analysis of symptoms, providing a precise evaluation of health status by considering multiple key factors. Next, the quadratic Diophantine fuzzy cognitive map method is used to identify the main elements influencing patient satisfaction by analyzing reviews on depression medications. This analysis also incorporates VADER-based sentiment analysis, implemented in Python, along with correlation analysis to quantify sentiment polarity in patient feedback on depression treatments. Collectively, these methods introduce nonlinear fuzzy tools that enhance evaluations and satisfaction assessments for effective sentiment-based decision-making.
决策是一个复杂的过程,受到多种因素的影响,包括可用数据、专业知识、上下文变量、利益相关者偏好和情感考虑。尽管近年来提出了许多方法,但仍然需要更有效和智能的技术来解决非线性、基于情绪的决策环境中的不确定性。在本文中,我们开发并应用了先进的非线性模糊模型,利用二次丢番图模糊软集和二次丢番图模糊认知图,特别关注通过医疗情感分析患者的幸福感。我们从二次丢番图模糊软集法入手,通过对症状的分析,增强对患者病情的评估,在考虑多个关键因素的情况下,提供对健康状况的精确评估。其次,采用二次丢番图模糊认知图法,通过对抑郁症药物评价的分析,找出影响患者满意度的主要因素。该分析还结合了基于vader的情绪分析(在Python中实现),以及相关分析,以量化患者对抑郁症治疗反馈的情绪极性。总的来说,这些方法引入了非线性模糊工具,增强了基于情感的有效决策的评估和满意度评估。
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引用次数: 0
An accelerated black-box sample paths feasibility probability estimation method for control policies of autonomous vehicles 一种自动驾驶汽车控制策略的加速黑箱样本路径可行性概率估计方法
IF 3.2 Q3 Mathematics Pub Date : 2025-09-26 DOI: 10.1016/j.rico.2025.100616
Siwei Liu, Qing-Shan Jia
With the continuous development of autonomous vehicles technology, the feasibility probability estimation of the sample paths has become a key requirement in the performance evaluation of its control policies and the policy optimization with chance constraints. Aiming at the defect that current autonomous driving testing methods generally rely on human prior knowledge for sampling allocation, this paper proposes a method that can allocate the number of samples according to the feasibility probability and state occurrence probability, and proves its optimality. In this paper, we first propose an optimal sampling times allocation method to minimize probabilistic estimation variance, which can obtain an acceleration effect that is reciprocal to the probability of occurrence of the most critical state. For the actual task requirement, we also propose algorithms with iterative estimation and low-fidelity models. The results from numerical experiments with two initial states and intelligent vehicle cornering cruise experiments under ten initial states demonstrate that our method can achieve the same prediction estimation error with fewer samples.
随着自动驾驶汽车技术的不断发展,样本路径的可行性概率估计已成为自动驾驶汽车控制策略性能评价和带有机会约束的策略优化的关键要求。针对当前自动驾驶测试方法普遍依赖人类先验知识进行样本分配的缺陷,本文提出了一种根据可行性概率和状态发生概率分配样本数量的方法,并证明了其最优性。本文首先提出了一种最小化概率估计方差的最优采样时间分配方法,该方法可以获得与最临界状态发生概率成倒数的加速效应。针对实际任务需求,我们还提出了迭代估计和低保真模型的算法。两种初始状态下的数值实验和十种初始状态下的智能车辆转弯巡航实验结果表明,该方法可以在较少的样本情况下获得相同的预测估计误差。
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引用次数: 0
Robust FDI for turbine-governor and network parameters in interconnected power systems via mixed H∞/pole placement observers 基于混合H∞/极点放置观测器的互联电力系统中涡轮调速器和网络参数的鲁棒FDI
IF 3.2 Q3 Mathematics Pub Date : 2025-09-25 DOI: 10.1016/j.rico.2025.100619
Chadi Nohra , Raymond Ghandour , Mahmoud Khaled , Rachid Outbib
Interconnected power systems are increasingly vulnerable to parameter deviations—such as mechanical wear, blade loss, inertia degradation, or cyber-physical attacks—in turbine–governors, generators, and transmission lines. These deviations compromise stability and may lead to severe disturbances if not detected and isolated promptly. Conventional observer-based fault detection methods can identify anomalies but often fail to pinpoint the exact parameter responsible.
This paper proposes a robust Fault Detection and Isolation (FDI) framework capable of estimating and isolating key dynamic parameters, including turbine (Tt) and governor (Tg) time constants, inertia (H), damping (D), and tie-line synchronizing coefficients (Tij). The method integrates an H∞/H₂ observer with pole placement for disturbance attenuation and rapid residual generation, followed by an adaptive sliding mode estimator for parameter-specific isolation. This two-stage scheme enables precise differentiation between faults and noise, as well as between different types of parametric shifts.
Simulation studies on a multi-area load frequency control (LFC) system validate the accuracy and robustness of the proposed approach under diverse fault scenarios. Unlike conventional FDI techniques, the framework not only detects faults but also isolates their root causes, thereby providing actionable insights for operators and enhancing the resilience of modern interconnected power networks.
互联电力系统越来越容易受到参数偏差的影响,例如涡轮调速器、发电机和传输线中的机械磨损、叶片损失、惯性退化或网络物理攻击。这些偏差损害了稳定性,如果不及时发现和隔离,可能会导致严重的干扰。传统的基于观测器的故障检测方法可以识别异常,但往往不能确定准确的参数。本文提出了一种鲁棒故障检测和隔离(FDI)框架,能够估计和隔离关键动态参数,包括涡轮机(Tt)和调速器(Tg)时间常数、惯性(H)、阻尼(D)和联络线同步系数(Tij)。该方法集成了一个H∞/H₂观测器,该观测器具有极点设置,用于干扰衰减和快速残差产生,然后是一个自适应滑模估计器,用于参数特定隔离。这种两阶段方案能够精确区分故障和噪声,以及不同类型的参数移位。通过对多区域负荷频率控制系统的仿真研究,验证了该方法在不同故障情况下的准确性和鲁棒性。与传统的FDI技术不同,该框架不仅可以检测故障,还可以隔离故障的根本原因,从而为运营商提供可操作的见解,并增强现代互联电网的弹性。
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引用次数: 0
Development of SECA multi criteria decision making method to optimally select contractors for green construction projects (Case study for Iran) SECA多标准决策方法在绿色建筑项目承包商选择中的应用(以伊朗为例)
IF 3.2 Q3 Mathematics Pub Date : 2025-09-24 DOI: 10.1016/j.rico.2025.100617
S․Ali Moayeripour , S․Mohammad Mirhosseini , Mohammad Ehsanifar , Ehsanollah Zeighami
This study aims to develop a multi-objective decision-making technique, called Simultaneous Evaluation of Criteria and Alternatives (SECA), to optimally rank green construction project contractors. The SECA approach is formulated as a multi-objective nonlinear programming problem comprising three objective functions: (1) maximizing the overall performance of alternatives, (2) minimizing the deviation of criteria weights from a reference point based on intra-criteria variation information, and (3) minimizing the deviation of criteria weights based on inter-criteria variation information, subject to two constraints on criteria weights. To implement the method, 16 key contractor prequalification criteria were first identified, followed by the selection of 10 qualified applicants. A decision matrix was constructed, and reference points were calculated. Variable weights for criteria and rankings of alternatives were obtained by coding the SECA method in Lingo software, considering different values of β. Determining the optimal β was a critical step, with values ranging from 0.1 to 7 evaluated. Results indicated that the maximum objective function value of 0.786 was achieved at β = 6, with the weight effect of the proposed price criterion being 0.0737. Contractor A3, with a score of 0.8887, was identified as the top-ranked contractor. Overall, the findings indicate that the SECA-based optimization method not only supports decision-makers in improving quality and reducing costs but also enhances transparency and trust in the selection process. By simultaneously evaluating criteria and alternatives and determining objective weights based on standard deviation and inter-criteria correlations, the method strengthens both transparency and reliability through reproducible and comparable analyses.
本研究旨在发展一种多目标决策技术,称为标准与替代方案同步评估(SECA),以对绿色建筑项目承包商进行最佳排名。SECA方法是一个多目标非线性规划问题,包含三个目标函数:(1)最大化备选方案的整体性能;(2)基于准则内变化信息最小化准则权重与参考点的偏差;(3)基于准则间变化信息最小化准则权重偏差,并受两个准则权重约束。为了实施该方法,首先确定了16个主要承包商资格预审标准,然后选择了10个合格的申请人。构造决策矩阵,计算参考点。考虑到不同的β值,在Lingo软件中对SECA方法进行编码,得到不同的标准权重和备选方案排名。确定最佳β是关键步骤,其评价值为0.1 ~ 7。结果表明,在β = 6时,目标函数值达到最大值0.786,所提出的价格标准的权重效应为0.0737。承包商A3以0.8887分被评为排名第一的承包商。总体而言,研究结果表明,基于seca的优化方法不仅支持决策者提高质量和降低成本,而且还增强了选择过程的透明度和信任度。通过同时评估标准和备选方案,并根据标准偏差和标准间相关性确定客观权重,该方法通过可重复性和可比性分析增强了透明度和可靠性。
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引用次数: 0
Strategic decision-making model for addressing barriers in Sukanya Samriddhi Yojana inclusion: An ISM-MICMAC analytical framework 解决Sukanya Samriddhi Yojana包容性障碍的战略决策模型:ISM-MICMAC分析框架
IF 3.2 Q3 Mathematics Pub Date : 2025-09-24 DOI: 10.1016/j.rico.2025.100618
Kyvalya Garikapati , Sugyanta Priyadarshini , Nisrutha Dulla , Snigdharani Panda , Sumita Mishra , Jayalaxmi Samal
The study aims to provide an insight into the performance of Sukanya Samriddhi Yojana (SSY). The primary objective of the study is to identify and understand the frequent barriers obstructing implementation of SSY scheme in rural areas and to determine the interrelationships between these barriers. The analysis made use of Interpretive Structural Modelling (ISM) approach and MICMAC analysis through a combination of expert opinion on validation of barriers. First, the study has identified 225 published documents retrieved from google scholar (n=222), Scopus (n=2) and Web of Science (n=1) data base for reviewing the literature and identifying barriers. Finally, 51 documents fulfilled the objective in identifying 9 Sukanya Samriddhi Yojana Implementation Barriers (SSYIBs). Secondly, ISM Identifies “Lack of communication” with Dependence Power (DP:1) and strong Driving Power (DRP:9) is identified as the major barrier among the 9 validated barriers in the context of rural India in implementing SSY scheme. MICMAC analysis identifies 5 barriers (Perceived cognizance, Societal Stigma, Cultural Inhibition, Lack of educational infrastructure, and Gender discrimination) as linkage variables under Quadrant 3 with strong DP (9) and DRP (5). Further, 4 barriers (Lack of awareness, Lack of knowledge, Lack of financial literacy) as independent variables under Quadrant 4 pursue weak DP (4) and strong DRP (8). This study can possibly be beneficial for academic researchers and policy makers by overcoming the gaps by assembling evidence from literature and integrating the findings for a clear understanding of the matter.
这项研究的目的是提供一个洞察Sukanya Samriddhi Yojana (SSY)的表现。这项研究的主要目标是确定和了解阻碍在农村地区实施可持续发展计划的常见障碍,并确定这些障碍之间的相互关系。分析利用解释结构建模(ISM)方法和MICMAC分析,结合专家意见对障碍的验证。首先,从谷歌scholar (n=222)、Scopus (n=2)和Web of Science (n=1)数据库中检索225篇已发表的文献,进行文献综述和障碍识别。最后,51份文件实现了确定9个“苏坎亚Samriddhi Yojana”实施障碍(ssyib)的目标。其次,ISM认为“缺乏沟通”与依赖力(DP:1)和强驱动力(DRP:9)是印度农村实施SSY计划的9个有效障碍中的主要障碍。MICMAC分析确定了5个障碍(感知认知、社会污名、文化抑制、缺乏教育基础设施和性别歧视)作为象限3下具有强DP(9)和DRP(5)的联动变量。此外,作为自变量的4个障碍(缺乏意识、缺乏知识、缺乏金融素养)在象限4下追求弱DP(4)和强DRP(8)。本研究可以通过收集文献证据和整合研究结果来克服差距,从而清晰地了解问题,从而可能对学术研究人员和政策制定者有益。
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引用次数: 0
Stability of a class of complex-valued BAM neural networks with proportional delays and impulse via fixed point theory 用不动点理论研究一类具有比例时延和脉冲的复值BAM神经网络的稳定性
IF 3.2 Q3 Mathematics Pub Date : 2025-09-13 DOI: 10.1016/j.rico.2025.100612
Min Luo , Mei Xiong , Longwei Chen , Yimin Yu
This paper mainly studies the stability of a class of proportional delay complex-valued BAM neural networks. Using the Banach fixed-point theorem, we obtain that the equilibrium points of the neural network exist uniquely, and at the same time, we also obtain its global exponential stability. Different from previous studies, we consider neural network systems in the complex number domain. Thus, the conclusions obtained have broader applicability. Finally, we present a numerical example to verify the validity of the result.
本文主要研究了一类比例延迟复值BAM神经网络的稳定性。利用Banach不动点定理,得到了神经网络平衡点的唯一存在性,同时也得到了神经网络的全局指数稳定性。与以往的研究不同,我们考虑的是复数域的神经网络系统。因此,所得结论具有更广泛的适用性。最后,给出了一个数值算例来验证结果的有效性。
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引用次数: 0
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Results in Control and Optimization
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