发布求助
文献互助 智能选刊 最新文献

Esaim-Control Optimisation and Calculus of Variations最新文献

筛选
英文 中文
Stackelberg method to stabilize game-based control system Stackelberg法稳定游戏控制系统
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-09-05 DOI: 10.1051/cocv/2023060
Yue Sun, Juanjuan Xu, Huanshui Zhang, Renren Zhang
{"title":"Stackelberg method to stabilize game-based control system","authors":"Yue Sun, Juanjuan Xu, Huanshui Zhang, Renren Zhang","doi":"10.1051/cocv/2023060","DOIUrl":"https://doi.org/10.1051/cocv/2023060","url":null,"abstract":"In this paper, we are concerned with the stabilization problem of the game-based control system. In particular, two players are involved in the system where one is to minimize the related cost function and the other is to stabilize the system. Different from the previous works, the new contribution is to derive the necessary and sufficient condition for the stabilization of the game-based control system by applying Stackelberg game method. The key technique is to explicitly solve the forward and backward difference equations (FBDEs) from the Stackelberg game and give the optimal feedback gain matrix of the leader by using the matrix maximum principle.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74482326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The Hinfinity - Control problem for parabolic systems. Applications to systems with singular hardy potentials 抛物型系统的无穷控制问题。奇异耐寒势系统的应用
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-08-14 DOI: 10.1051/cocv/2023059
G. Marinoschi
{"title":"The Hinfinity - Control problem for parabolic systems. Applications to systems with singular hardy potentials","authors":"G. Marinoschi","doi":"10.1051/cocv/2023059","DOIUrl":"https://doi.org/10.1051/cocv/2023059","url":null,"abstract":"<div class=\"abstract\"> <p style=\"margin: 0px;\"> <div>We solve the $H^{infty }$-control problem with state</div> </div> <p style=\"margin: 0px;\"> <div>feedback for infinite dimensional boundary control systems of parabolic type</div> </div> <p style=\"margin: 0px;\"> <div>with distributed disturbances and provide some applications of this result</div> </div> <p style=\"margin: 0px;\"> <div>to equations with Hardy potentials with the singularity inside or on the</div> </div> <p style=\"margin: 0px;\"> <div>boundary, in the cases of a distributed control and of a boundary control.</div> </div> <div class=\"sectionWrapper\"> <h1 class=\"heading\" xslelement=\"title\"> <div>2020 Mathematics Subject Classification</div> </h1> <div class=\"containerGroup\"> <div class=\"paragraphWrapper\"> <div><div>93B36, 93B52, 93B35, 35K90.</div> </div> </div> </div> </div></div>","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73594577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Uniformly exponential stability of semi-discrete scheme  for a vibration cable with a tip mass under observer-based feedback control 观测器反馈控制下带端部质量振动索半离散格式的均匀指数稳定性
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-07-31 DOI: 10.1051/cocv/2023058
B. Guo, Xi Zhao
{"title":"Uniformly exponential stability of semi-discrete scheme  for a vibration cable with a tip mass under observer-based feedback control","authors":"B. Guo, Xi Zhao","doi":"10.1051/cocv/2023058","DOIUrl":"https://doi.org/10.1051/cocv/2023058","url":null,"abstract":"In this paper, we consider uniformly exponential approximation for  a vibrating cable with tip mass under a non-collocated  output stabilizing feedback control. By designing an  observer-based output feedback control, the closed-loop system is composed of the coupled same type of PDEs  and ODEs. By order reduction method, we find a global Lyapunov functional for the closed-loop system. The  closed-loop system  is then semi-discretized by the  finite difference method. For the discrete systems, we also construct the  Lyapunov functions. The uniform exponential stability of the semi-discretized systems is then established analogously as the proof for  the continuous counterpart via an indirect Lyapunov functional approach.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74748813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Directional differentiability for shape optimization with variational inequalities as constraints 以变分不等式为约束的形状优化的方向可微性
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-07-21 DOI: 10.1051/cocv/2023056
V. A. Kovtunenko, K. Kunisch
{"title":"Directional differentiability for shape optimization with variational inequalities as constraints","authors":"V. A. Kovtunenko, K. Kunisch","doi":"10.1051/cocv/2023056","DOIUrl":"https://doi.org/10.1051/cocv/2023056","url":null,"abstract":"For equilibrium constrained optimization problems subject to nonlinear state equations, the property of directional differentiability with respect to a parameter is studied. An abstract class of parameter dependent shape optimization problems is investigated with penalty constraints linked to variational inequalities. Based on the Lagrange multiplier approach, on smooth penalties due to Lavrentiev regularization, and on adjoint operators, a shape derivative is obtained. The explicit formula provides a descent direction for the gradient algorithm identifying the shape of the breaking-line from a boundary measurement. A numerical example is presented for a nonlinear Poisson problem modeling Barenblatt’s surface energies and non-penetrating cracks.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81378603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Observability of a string-beams network with many beams 具有多束的弦-梁网络的可观测性
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-07-11 DOI: 10.1051/cocv/2023054
Anna Chiara Lai, P. Loreti, M. Mehrenberger
{"title":"Observability of a string-beams network with many beams","authors":"Anna Chiara Lai, P. Loreti, M. Mehrenberger","doi":"10.1051/cocv/2023054","DOIUrl":"https://doi.org/10.1051/cocv/2023054","url":null,"abstract":"We prove the direct and inverse observability inequality for a network connecting one string with infinitely many beams, at a common point, in the case where the lengths of the beams are all equal. The observation is at the exterior node of the string and at the exterior nodes of all the beams except one. The proof is based on a careful analysis of the asymptotic behavior of the underlying eigenvalues and eigenfunctions, and on the use of a Ingham type theorem with weakened gap condition [6]. On the one hand, the proof of the crucial gap condition already observed in the case where there is only one beam [1] is new and based on elementary monotonicity arguments. On the other hand, we are able to handle both the complication arising with the appearance of eigenvalues with unbounded multiplicity, due to the many beams case, and the terms coming from the weakened gap condition, arising when at least 2 beams are present.\u0000\u0000AMS Subject Classification\u0000\u0000Primary: 93B07, 74K10; Secondary: 42A16, 35M10, 35A25.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72411432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Zermelo navigation problems on surfaces of revolution and geometric optimal control                            旋转曲面上的Zermelo导航问题及几何最优控制
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-07-10 DOI: 10.1051/cocv/2023052
B. Bonnard, O. Cots, B. Wembe
{"title":"Zermelo navigation problems on surfaces of revolution and geometric optimal control\u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 \u0000 ","authors":"B. Bonnard, O. Cots, B. Wembe","doi":"10.1051/cocv/2023052","DOIUrl":"https://doi.org/10.1051/cocv/2023052","url":null,"abstract":"In this article, the historical study from Carathéodory-Zermelo about computing the quickest nautical path is generalized to Zermelo navigation problems on surfaces of revolution, in the frame of geometric optimal control. Using the Maximum Principle, we present two methods dedicated to analyzing the geodesic flow and to compute the conjugate and cut loci. We apply these calculations to investigate case studies related to applications in hydrodynamics, space mechanics and geometry.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74772148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Turnpike properties of optimal boundary control problems with random linear hyperbolic systems 随机线性双曲系统最优边界控制问题的收费公路性质
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-07-10 DOI: 10.1051/cocv/2023051
M. Gugat, M. Herty
{"title":"Turnpike properties of optimal boundary control problems with random linear hyperbolic systems","authors":"M. Gugat, M. Herty","doi":"10.1051/cocv/2023051","DOIUrl":"https://doi.org/10.1051/cocv/2023051","url":null,"abstract":"In many applications,  in systems that are governed by a linear hyperbolic partial differential equations some of the  problem parameters are uncertain. If  information about the probability distribution of the parametric uncertainty   distribution is available, the uncertain state of the system  can be described using an intrinsic formulation through a polynomial  chaos expansion.  \u0000 This allows to  obtain solutions for  optimal boundary control problems with random parameters. \u0000We show that similar to the deterministic  case,  a turnpike result holds in the sense that for large time horizons the optimal states for dynamic optimal control problems on a substantial part of the time interval approach the optimal states for the  corresponding uncertain static optimal control problem. We show integral turnpike results both for the full uncertain system as well as for a generalized polynomial chaos approximation.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83043518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A general maximum principle for progressive optimal control of partially observed mean-field stochastic system with markov chain. 具有马尔可夫链的部分可观测平均场随机系统渐进最优控制的一般极大值原理。
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-07-10 DOI: 10.1051/cocv/2023050
Tian Chen, Y. Jia
{"title":"A general maximum principle for progressive optimal control of partially observed mean-field stochastic system with markov chain.","authors":"Tian Chen, Y. Jia","doi":"10.1051/cocv/2023050","DOIUrl":"https://doi.org/10.1051/cocv/2023050","url":null,"abstract":"In this paper, we study an optimal control problem of partially observed mean-field type stochastic control system with Markov chain in progressive structure. The control variable is allowed to enter the diffusion term of the state process and the drift term of the observation process. The control domain need not be convex. In our model, the cost functional and the observation are also of mean-field type. By virtue of a special spike variation, the related stochastic maximum principle has been obtained. The stochastic maximum principle in progressive structure is essentially different from the classical case.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88145713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Analyticity and observability for fractional order parabolic equations in the whole space 分数阶抛物型方程在全空间中的解析性和可观测性
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-07-09 DOI: 10.1051/cocv/2023053
Ming Wang, Can Zhang
{"title":"Analyticity and observability for fractional order parabolic equations in the whole space","authors":"Ming Wang, Can Zhang","doi":"10.1051/cocv/2023053","DOIUrl":"https://doi.org/10.1051/cocv/2023053","url":null,"abstract":"In this paper, we study the quantitative analyticity and observability inequality for solutions of fractional order parabolic equations with space-time dependent potentials in R^n. We first obtain a uniformly lower bound of analyticity radius of the spatial variable for the above solutions with respect to the time variable. Next, we prove a globally H''older-type interpolation inequality on a thick set, which is based on a propagation estimate of smallness for analytic functions. Finally, we establish an observability inequality from a thick set   by utilizing a telescoping series method.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75528982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A novel sensor design for a cantilevered Mead-Marcus-type sandwich beam model by the order-reduction technique 采用降阶技术设计了悬臂式mead - marcus夹层梁模型传感器
IF 1.4 3区 数学
Esaim-Control Optimisation and Calculus of Variations Pub Date : 2023-06-21 DOI: 10.1051/cocv/2023061
A. Ozer, Ahmet Kaan Aydin
{"title":"A novel sensor design for a cantilevered Mead-Marcus-type sandwich beam model by the order-reduction technique","authors":"A. Ozer, Ahmet Kaan Aydin","doi":"10.1051/cocv/2023061","DOIUrl":"https://doi.org/10.1051/cocv/2023061","url":null,"abstract":"A novel space-discretized Finite Differences-based model reduction introduced in cite{Guo3} is extended to the partial differential equations (PDE) model of a multi- layer Mead-Marcus-type sandwich beam with clamped-free boundary conditions. The PDE model describes transverse vibrations for a sandwich beam whose alternating outer elastic layers constrain viscoelastic core layers, which allow transverse shear. The major goal of this project is to design a single tip velocity sensor to control the overall dynamics on the beam. Since the spectrum of the PDE can not be constructed analytically, the so-called multipliers approach is adopted to prove that the PDE model is exactly observable with sub-optimal observation time.  Next, the PDE model is reduced by the \"order-reduced'' Finite-Differences technique. This method does not require any type of filtering though the exact observability as $hto 0$ is achieved by a constraint on the material constants. The main challenge here is the strong coupling of the shear dynamics of the middle layer with overall bending dynamics. This complicates the absorption of coupling terms in the discrete energy estimates. This is sharply different from a single-layer (Euler-Bernoulli) beam.","PeriodicalId":50500,"journal":{"name":"Esaim-Control Optimisation and Calculus of Variations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79302193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 2
首页 上一页 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