发布求助
文献互助 智能选刊 最新文献

Mathematical Control and Related Fields最新文献

筛选
英文 中文
Boundary controllability for a 1D degenerate parabolic equation with drift and a singular potential 具有漂移和奇异势的一维退化抛物方程的边界可控性
IF 1.2 4区 数学
Mathematical Control and Related Fields Pub Date : 2023-02-02 DOI: 10.3934/mcrf.2023027
Leandro Galo-Mendoza, Marcos L'opez-Garc'ia
{"title":"Boundary controllability for a 1D degenerate parabolic equation with drift and a singular potential","authors":"Leandro Galo-Mendoza, Marcos L'opez-Garc'ia","doi":"10.3934/mcrf.2023027","DOIUrl":"https://doi.org/10.3934/mcrf.2023027","url":null,"abstract":"We prove the null controllability of a one-dimensional degenerate parabolic equation with drift and a singular potential. Here, we consider a weighted Neumann boundary control at the left endpoint, where the potential arises. We use a spectral decomposition of a suitable operator, defined in a weighted Sobolev space, and the moment method by Fattorini and Russell to obtain an upper estimate of the cost of controllability. We also obtain a lower estimate of the cost of controllability by using a representation theorem for analytic functions of exponential type.","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"51 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75009987","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: 1
Mixed Nash games and social optima for linear-quadratic forward-backward mean-field systems 线性二次正反向平均场系统的混合纳什博弈与社会最优
4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023038
Xinwei Feng, Yiwei Lin
{"title":"Mixed Nash games and social optima for linear-quadratic forward-backward mean-field systems","authors":"Xinwei Feng, Yiwei Lin","doi":"10.3934/mcrf.2023038","DOIUrl":"https://doi.org/10.3934/mcrf.2023038","url":null,"abstract":"We consider a new class of mixed linear-quadratic Nash games and social optimization for two types of interactive agents. One is called a major agent and the others are minor agents. By 'mixed', we mean that all minor agents team up with each other to compete against this major agent for their contradictory cost functions. Different from the standard setup, this major's state is governed by some linear stochastic differential equation where the diffusion term and drift term both contain a control process, while the states of these minors are all weakly-coupled and driven by some linear backward stochastic differential equations because their terminal conditions are specified. To construct decentralized strategies for these two types of agents respectively, the backward person-by-person optimization method, combining some variational method and mean-field approximation are applied. Under some suitable conditions, we also verify the asymptotic optimality of these decentralized strategies.","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"2015 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135318149","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
Stabilization of a wave-wave transmission problem with generalized acoustic boundary conditions 具有广义声学边界条件的波-波传输问题的稳定
IF 1.2 4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023031
M. Dimassi, A. Wehbe, H. Yazbek, Ibtissame Zaiter
{"title":"Stabilization of a wave-wave transmission problem with generalized acoustic boundary conditions","authors":"M. Dimassi, A. Wehbe, H. Yazbek, Ibtissame Zaiter","doi":"10.3934/mcrf.2023031","DOIUrl":"https://doi.org/10.3934/mcrf.2023031","url":null,"abstract":"","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"83 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76784763","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
Stackelberg equilibrium with social optima in linear-quadratic-Gaussian mean-field system 线性二次高斯平均场系统的社会最优Stackelberg均衡
IF 1.2 4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023024
Xinwei Feng, Lu Wang
{"title":"Stackelberg equilibrium with social optima in linear-quadratic-Gaussian mean-field system","authors":"Xinwei Feng, Lu Wang","doi":"10.3934/mcrf.2023024","DOIUrl":"https://doi.org/10.3934/mcrf.2023024","url":null,"abstract":"","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"63 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82798802","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
Recovering the velocity in a 1-d non-local transport equation 恢复一维非局部输运方程中的速度
IF 1.2 4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023011
S. Ervedoza, Zhiqiang Wang, Jiacheng Zhang
{"title":"Recovering the velocity in a 1-d non-local transport equation","authors":"S. Ervedoza, Zhiqiang Wang, Jiacheng Zhang","doi":"10.3934/mcrf.2023011","DOIUrl":"https://doi.org/10.3934/mcrf.2023011","url":null,"abstract":"","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"10 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86933614","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
Asymptotic behavior and numerical analysis for a Timoshenko beam with viscoelasticity and thermodiffusion effects 具有粘弹性和热扩散效应的Timoshenko梁的渐近行为和数值分析
IF 1.2 4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023012
A. Ramos, M. Aouadi, Imed Mahfoudhi, M. Freitas
{"title":"Asymptotic behavior and numerical analysis for a Timoshenko beam with viscoelasticity and thermodiffusion effects","authors":"A. Ramos, M. Aouadi, Imed Mahfoudhi, M. Freitas","doi":"10.3934/mcrf.2023012","DOIUrl":"https://doi.org/10.3934/mcrf.2023012","url":null,"abstract":"","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"9 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85620615","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: 1
Time-inconsistent stochastic linear-quadratic optimal control problem under non-Markovian regime-switching jump-diffusion model 非马尔可夫状态切换跳跃扩散模型下的时间不一致随机线性二次最优控制问题
IF 1.2 4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023030
I. Alia, M. Alia
{"title":"Time-inconsistent stochastic linear-quadratic optimal control problem under non-Markovian regime-switching jump-diffusion model","authors":"I. Alia, M. Alia","doi":"10.3934/mcrf.2023030","DOIUrl":"https://doi.org/10.3934/mcrf.2023030","url":null,"abstract":"","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"22 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83482321","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 boundary stabilization to trajectories of the deterministic and stochastic porous-media equation 确定性和随机多孔介质方程轨迹的全局边界稳定
4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023037
Ionuţ Munteanu
{"title":"Global boundary stabilization to trajectories of the deterministic and stochastic porous-media equation","authors":"Ionuţ Munteanu","doi":"10.3934/mcrf.2023037","DOIUrl":"https://doi.org/10.3934/mcrf.2023037","url":null,"abstract":"Here we deal with the problem of boundary asymptotic exponential stabilization of flows through porous media. More exactly we study the porous media equation with general monotone porosity in a bounded domain of dimension $ d = 1,2,3 $. We construct an explicit, linear, of finite-dimensional structure feedback controller with Dirichlet part-boundary actuation, which stabilizes any trajectory of the system, for any given initial data. The form of the controller is based on the spectrum of the Dirichlet-Laplace operator and ensures exponential decay to zero of the fluctuation variable for any a priori prescribed decay rate. Also, we extend these results to the case of porous media equation perturbed by Itô Lipschitz noise.","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"88 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136257650","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
Risk-based optimal portfolio of an insurance firm with regime switching and noisy memory 具有状态切换和噪声记忆的保险公司风险最优投资组合
IF 1.2 4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023023
Calisto Guambe, Rodwell Kufakunesu, Lesedi Mabitsela
{"title":"Risk-based optimal portfolio of an insurance firm with regime switching and noisy memory","authors":"Calisto Guambe, Rodwell Kufakunesu, Lesedi Mabitsela","doi":"10.3934/mcrf.2023023","DOIUrl":"https://doi.org/10.3934/mcrf.2023023","url":null,"abstract":"","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"2 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73380554","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
2D and 3D convective Brinkman-Forchheimer equations perturbed by a subdifferential and applications to control problems 由次微分扰动的二维和三维对流Brinkman-Forchheimer方程及其在控制问题中的应用
4区 数学
Mathematical Control and Related Fields Pub Date : 2023-01-01 DOI: 10.3934/mcrf.2023034
Sagar Gautam, Kush Kinra, Manil T. Mohan
{"title":"2D and 3D convective Brinkman-Forchheimer equations perturbed by a subdifferential and applications to control problems","authors":"Sagar Gautam, Kush Kinra, Manil T. Mohan","doi":"10.3934/mcrf.2023034","DOIUrl":"https://doi.org/10.3934/mcrf.2023034","url":null,"abstract":"The following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) with potential$ begin{equation*} frac{partial boldsymbol{y}}{partial t}-mu Deltaboldsymbol{y}+(boldsymbol{y}cdotnabla)boldsymbol{y}+alphaboldsymbol{y}+beta|boldsymbol{y}|^{r-1}boldsymbol{y}+nabla p+Psi(boldsymbol{y})niboldsymbol{g}, nablacdotboldsymbol{y} = 0, end{equation*} $in a $ d $-dimensional torus is considered in this work, where $ din{2,3} $, $ mu,alpha,beta>0 $ and $ rin[1,infty) $. For $ d = 2 $ with $ rin[1,infty) $ and $ d = 3 $ with $ rin[3,infty) $ ($ 2betamugeq 1 $ for $ d = r = 3 $), we establish the existence of a unique global strong solution for the above multi-valued problem with the help of the abstract theory of $ m $-accretive operators. Moreover, we demonstrate that the same results hold local in time for the case $ d = 3 $ with $ rin[1,3) $ and $ d = r = 3 $ with $ 2betamu<1 $. We explored the $ m $-accretivity of the nonlinear as well as multi-valued operators, Yosida approximations and their properties, and several higher order energy estimates in the proofs. For $ rin[1,3] $, we quantize (modify) the Navier-Stokes nonlinearity $ (boldsymbol{y}cdotnabla)boldsymbol{y} $ to establish the existence and uniqueness results, while for $ rin[3,infty) $ ($ 2betamugeq1 $ for $ r = 3 $), we handle the Navier-Stokes nonlinearity by the nonlinear damping term $ beta|boldsymbol{y}|^{r-1}boldsymbol{y} $. Finally, we discuss the applications of the above developed theory in feedback control problems like flow invariance, time optimal control and stabilization.","PeriodicalId":48889,"journal":{"name":"Mathematical Control and Related Fields","volume":"298 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135754362","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: 1
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信