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Evolution Equations and Control Theory最新文献

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An effect of decay rates: Supercritical damping and a viscoelastic term 衰减率的影响:超临界阻尼和粘弹性项
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023038
Fang Li, Xiaolei Li
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引用次数: 0
Optimal feedback control results for a second-order evolution system with finite delay 有限时滞二阶演化系统的最优反馈控制结果
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023027
Hai Huang, Xianlong Fu
{"title":"Optimal feedback control results for a second-order evolution system with finite delay","authors":"Hai Huang, Xianlong Fu","doi":"10.3934/eect.2023027","DOIUrl":"https://doi.org/10.3934/eect.2023027","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80754964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations 不同网络结构下多链路双曲抛物型系统的锐多项式衰减率
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023034
Yanfang Li, Yang Wang
{"title":"Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations","authors":"Yanfang Li, Yang Wang","doi":"10.3934/eect.2023034","DOIUrl":"https://doi.org/10.3934/eect.2023034","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88233253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Null controllability for parabolic systems with dynamic boundary conditions 具有动态边界条件的抛物型系统的零可控性
4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023051
Mariem Jakhoukh, Lahcen Maniar
{"title":"Null controllability for parabolic systems with dynamic boundary conditions","authors":"Mariem Jakhoukh, Lahcen Maniar","doi":"10.3934/eect.2023051","DOIUrl":"https://doi.org/10.3934/eect.2023051","url":null,"abstract":"In this paper, we study the null controllability of systems of $ n $-coupled parabolic equations with dynamic boundary conditions, where the coupling and control matrices $ A $ and $ B $ are constant in time and space. Being different to the case of static boundary conditions, we will show that the Kalman rank condition $ rank[B, AB,dots, A^{n-1}B ] = n $ is a sufficient condition, we also show that it is necessary for the null controlability under an extra assumption on the boundary coupling. The null controlability result will be proved by proving Carleman and observability inequalities for the corresponding adjoint problem.","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135800270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator 具有历史相关算子的分数阶微分半变不等式约束的粘接问题的分析与仿真
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023014
Hailing Xuan, Xiaoliang Cheng
{"title":"Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator","authors":"Hailing Xuan, Xiaoliang Cheng","doi":"10.3934/eect.2023014","DOIUrl":"https://doi.org/10.3934/eect.2023014","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75862291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Effective filtering for slow-fast systems via Wong-Zakai approximation 基于Wong-Zakai近似的慢速系统有效滤波
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023016
Haoyuan Li, Wenlei Li, Shiduo Qu, Shaoyun Shi
{"title":"Effective filtering for slow-fast systems via Wong-Zakai approximation","authors":"Haoyuan Li, Wenlei Li, Shiduo Qu, Shaoyun Shi","doi":"10.3934/eect.2023016","DOIUrl":"https://doi.org/10.3934/eect.2023016","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83887911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Control of a flexible satellite with an internal nonlinear disturbance 具有内部非线性扰动的柔性卫星控制
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023039
B. Lekdim, A. Khemmoudj
{"title":"Control of a flexible satellite with an internal nonlinear disturbance","authors":"B. Lekdim, A. Khemmoudj","doi":"10.3934/eect.2023039","DOIUrl":"https://doi.org/10.3934/eect.2023039","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83917449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities 具有大密度饱和的士的三维交叉扩散SIS流行病模型的全局光滑解
IF 1.5 4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023031
Youshan Tao, M. Winkler
{"title":"Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities","authors":"Youshan Tao, M. Winkler","doi":"10.3934/eect.2023031","DOIUrl":"https://doi.org/10.3934/eect.2023031","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90341230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 continuous data assimilation 非线性连续数据同化
4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023048
Adam Larios, Yuan Pei
{"title":"Nonlinear continuous data assimilation","authors":"Adam Larios, Yuan Pei","doi":"10.3934/eect.2023048","DOIUrl":"https://doi.org/10.3934/eect.2023048","url":null,"abstract":"We introduce three new nonlinear continuous data assimilation algorithms. These models are compared with the linear continuous data assimilation algorithm introduced by Azouani, Olson, and Titi (AOT). As a proof-of-concept for these models, we computationally investigate these algorithms in the context of the 1D Kuramoto-Sivashinsky equations. We observe that the nonlinear models experience super-exponential convergence in time, and converge to machine precision significantly faster than the linear AOT algorithm in our tests. For both simplicity and completeness, we provide the key analysis of the exponential-in-time convergence in the linear case.","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135496189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 15
Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics 非线性声学波动方程中若干空间相关系数的可辨识性
4区 数学
Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI: 10.3934/eect.2023052
Barbara Kaltenbacher
{"title":"Identifiability of some space dependent coefficients in a wave equation of nonlinear acoustics","authors":"Barbara Kaltenbacher","doi":"10.3934/eect.2023052","DOIUrl":"https://doi.org/10.3934/eect.2023052","url":null,"abstract":"","PeriodicalId":48833,"journal":{"name":"Evolution Equations and Control Theory","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134980592","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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