Applied Mathematics and Computation最新文献_第10页

Reduced-order full information estimation observer-based dissipative control for nonlinear discrete-time switched singular systems with unknown inputs 输入未知的非线性离散切换奇异系统的全信息估计减阶耗散控制

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-31 DOI: 10.1016/j.amc.2024.129256

Hongpeng Shi, Zhenli Zhao, Shuping Ma

{"title":"Reduced-order full information estimation observer-based dissipative control for nonlinear discrete-time switched singular systems with unknown inputs","authors":"Hongpeng Shi, Zhenli Zhao, Shuping Ma","doi":"10.1016/j.amc.2024.129256","DOIUrl":"10.1016/j.amc.2024.129256","url":null,"abstract":"<div><div>The dissipative control problem for nonlinear discrete-time switched singular systems (NDSSSs) is investigated via a novel reduced-order observer in this paper. Firstly, based on the generalized Sylvester equations and the introduced nonlinear injection term, a novel reduced-order observer is designed for each subsystem. The designed reduced-order observer can still produce accurate full-information estimation even though the dynamics and the output of the systems both contain unknown inputs. Then, by using average dwell-time scheme and multi-Lyapunov functions, some new sufficient conditions are proposed such that the resulted closed-loop NDSSSs are regular and causal, have a unique solution, and are globally uniformly asymptotically stable with a strict <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>S</mi><mo>,</mo><mi>V</mi><mo>)</mo></math></span>-<em>γ</em>-dissipative. A novel relaxation technique is proposed for decoupling nonlinear inequalities involving products of multiple nonsquare unknown variables. The design procedures of reduced-order observer and controller are presented by a specific algorithm. Finally, two numerical examples and an electronic circuit example are provided to illustrate the effectiveness of the theoretical results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"493 ","pages":"Article 129256"},"PeriodicalIF":3.5,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142925326","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

Extended dissipative analysis of integral sliding mode control for singular interval type-2 fuzzy systems with time delay 时滞奇异区间2型模糊系统积分滑模控制的扩展耗散分析

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-30 DOI: 10.1016/j.amc.2024.129251

Fangyuan Liu, Guobao Liu, Huai Liu, Shicheng Huo

引用次数: 0

Extremal function of two independent chorded cycles in a bipartite graph 二部图中两个独立弦环的极值函数

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-27 DOI: 10.1016/j.amc.2024.129253

Panpan Cheng, Yunshu Gao

引用次数: 0

A study on multi-information diffusion model considering dual social reinforcement effect from the perspective of evolutionary game 进化博弈视角下考虑双重社会强化效应的多信息扩散模型研究

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-24 DOI: 10.1016/j.amc.2024.129255

Yuanyuan Ma , Qiannan Zhang , Leilei Xie

{"title":"A study on multi-information diffusion model considering dual social reinforcement effect from the perspective of evolutionary game","authors":"Yuanyuan Ma , Qiannan Zhang , Leilei Xie","doi":"10.1016/j.amc.2024.129255","DOIUrl":"10.1016/j.amc.2024.129255","url":null,"abstract":"<div><div>The dynamic interactions of multi-information in online social networks present new challenges for understanding and forecasting information dissemination trends, especially the bounded rational decision-making of users when faced with various information. This article introduces evolutionary game theory to analyze user strategies amidst varying information. By using the Fermi function to calculate the imitation probability of netizens and considering the attractiveness of information and the dual social reinforcement effect, a class of G-SF<sub>D</sub>F<sub>R</sub>R multi-information delay propagation models has been established. The propagation threshold is calculated using the next-generation matrix method, and the global asymptotic stability of the system is analyzed using the time-delay Lyapunov function. Empirical analysis based on a Twitter dataset validated the model's effectiveness, showing an improvement in the fitting degree of 38.91 and 19.21 % over the SCIR and SICMR models, respectively. Further quantitative analysis through numerical calculations revealed that evolutionary games can delay the peak of information dissemination and accelerate the decline of rumors, highlighting the key role of strategic interaction in curbing rumor spread. Additionally, regulating the positive and negative social reinforcement effects and propagation probabilities can optimize the effect of rumor refutation, with short-term forced silence measures being more effective than long-term ones.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"492 ","pages":"Article 129255"},"PeriodicalIF":3.5,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889317","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 mathematical model for the bullying dynamics in schools 校园欺凌动态的数学模型

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-24 DOI: 10.1016/j.amc.2024.129254

Nuno Crokidakis

引用次数: 0

Supervised cooperation on interdependent public goods games 相互依存的公共产品博弈的监督合作

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-19 DOI: 10.1016/j.amc.2024.129249

Ting Ling , Zhang Li , Minyu Feng , Attila Szolnoki

{"title":"Supervised cooperation on interdependent public goods games","authors":"Ting Ling , Zhang Li , Minyu Feng , Attila Szolnoki","doi":"10.1016/j.amc.2024.129249","DOIUrl":"10.1016/j.amc.2024.129249","url":null,"abstract":"<div><div>It is a challenging task to reach global cooperation among self-interested agents, which often requires sophisticated design or usage of incentives. For example, we may apply supervisors or referees who are able to detect and punish selfishness. As a response, defectors may offer bribes for corrupt referees to remain hidden, hence generating a new conflict among supervisors. By using the interdependent network approach, we model the key element of the coevolution between strategy and judgment. In a game layer, agents play public goods game by using one of the two major strategies of a social dilemma. In a monitoring layer, supervisors follow the strategy change and may alter the income of competitors. Fair referees punish defectors while corrupt referees remain silent for a bribe. Importantly, there is a learning process not only among players but also among referees. Our results suggest that large fines and bribes boost the emergence of cooperation by significantly reducing the phase transition threshold between the pure defection state and the mixed solution where competing strategies coexist. Interestingly, the presence of bribes could be as harmful for defectors as the usage of harsh fines. The explanation of this system behavior is based on a strong correlation between cooperators and fair referees, which is cemented via overlapping clusters in both layers.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"492 ","pages":"Article 129249"},"PeriodicalIF":3.5,"publicationDate":"2024-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874014","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 novel localized least-squares collocation method for coupled bulk-surface problems 耦合体面问题的一种新的局部最小二乘配置方法

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-18 DOI: 10.1016/j.amc.2024.129250

Zhuochao Tang , Zhuojia Fu , Meng Chen , Leevan Ling

引用次数: 0

Erratum on “Synchronization and chimeras in asymmetrically coupled memristive Tabu learning neuron network” [Appl. Math. Compt. 489 (2025) 129163] “非对称耦合记忆禁忌学习神经元网络的同步和嵌合体”的校误[j]。数学。Compt. 489 (2025) 129163]

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-18 DOI: 10.1016/j.amc.2024.129248

A. Prasina , V. Samuthira Pandi , W. Nancy , K. Thilagam , K. Veena , A. Muniyappan

引用次数: 0

WENO based adaptive image zooming algorithm 基于WENO的自适应图像缩放算法

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-18 DOI: 10.1016/j.amc.2024.129228

Bojan Crnković , Jerko Škifić , Tina Bosner

引用次数: 0

Protocol-based H∞ estimation for Markovian jumping delayed systems with partially unknown transition probability 转移概率部分未知的马尔可夫跳跃延迟系统基于协议的H∞估计

IF 3.5 2区数学

Applied Mathematics and Computation Pub Date : 2024-12-17 DOI: 10.1016/j.amc.2024.129247

Guixiu Liu, Bing Li

{"title":"Protocol-based H∞ estimation for Markovian jumping delayed systems with partially unknown transition probability","authors":"Guixiu Liu, Bing Li","doi":"10.1016/j.amc.2024.129247","DOIUrl":"10.1016/j.amc.2024.129247","url":null,"abstract":"<div><div>This article pays attention to estimation issue for the state of a particular kind of Markovian jumping delayed systems (MJDSs) with exogenous disturbances. The transition probability of Markovian process is assumed to be partially unknown for accurately reflecting the real complexity of mode switching. To avoid data collision while retaining the necessary requirement of information updating, a scheduling named MEF-TOD protocol is adopted to dynamically allocate access authorization of sensor nodes to estimator. By virtue of binary delta operator, a mode-dependent estimator is built to asymptotically approximate the real state of original system. Through taking a suitable energy functional and exploiting stochastic analysis method, several novel approaches are given to sufficiently make the error asymptotically stable under constraint of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> performance. The gain matrices for estimator are ultimately formed through settling a series of inequalities of matrix. At last, a numerical instance exhibits the validity of proposed results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"492 ","pages":"Article 129247"},"PeriodicalIF":3.5,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142874071","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