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Approximation of the HJB viscosity solutions in differential inclusion optimal control with state constraint 带状态约束的微分包容优化控制中的 HJB 粘度解的近似值
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-08 DOI: 10.1080/02331934.2024.2375422
Mustapha Serhani, Nadia Raissi
{"title":"Approximation of the HJB viscosity solutions in differential inclusion optimal control with state constraint","authors":"Mustapha Serhani, Nadia Raissi","doi":"10.1080/02331934.2024.2375422","DOIUrl":"https://doi.org/10.1080/02331934.2024.2375422","url":null,"abstract":"This paper tries to investigate a differential inclusion optimal control problem with state constraint (P) through an approximation of Hamilton–Jacobi–Bellman viscosity solutions. By invoking a dua...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"16 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614226","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
A dynamic multiple proximal bundle algorithm for locally Lipschitz multiobjective optimization problems 局部 Lipschitz 多目标优化问题的动态多近似束算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-05 DOI: 10.1080/02331934.2024.2374513
N. Hoseini Monjezi, S. Nobakhtian
{"title":"A dynamic multiple proximal bundle algorithm for locally Lipschitz multiobjective optimization problems","authors":"N. Hoseini Monjezi, S. Nobakhtian","doi":"10.1080/02331934.2024.2374513","DOIUrl":"https://doi.org/10.1080/02331934.2024.2374513","url":null,"abstract":"We propose a method for nonsmooth nonconvex multiobjective optimization problems that is based on a bundle-type approach. The proposed method employs an extension of the redistributed proximal bund...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"56 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614142","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
On the complexity of inverse bivariate multi-unit assignment valuation problems 论反二元多单位分配估值问题的复杂性
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-04 DOI: 10.1080/02331934.2024.2374945
Kristóf Bérczi, Lydia Mirabel Mendoza-Cadena
{"title":"On the complexity of inverse bivariate multi-unit assignment valuation problems","authors":"Kristóf Bérczi, Lydia Mirabel Mendoza-Cadena","doi":"10.1080/02331934.2024.2374945","DOIUrl":"https://doi.org/10.1080/02331934.2024.2374945","url":null,"abstract":"Inverse and bilevel optimization problems play a central role in both theory and applications. These two classes are known to be closely related due to the pioneering work of Dempe and Lohse (2006)...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"88 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577803","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
A Lie-bracket-based notion of stabilizing feedback in optimal control 优化控制中基于列式控制的稳定反馈概念
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-04 DOI: 10.1080/02331934.2024.2374516
Giovanni Fusco, Monica Motta, Franco Rampazzo
{"title":"A Lie-bracket-based notion of stabilizing feedback in optimal control","authors":"Giovanni Fusco, Monica Motta, Franco Rampazzo","doi":"10.1080/02331934.2024.2374516","DOIUrl":"https://doi.org/10.1080/02331934.2024.2374516","url":null,"abstract":"For a control system two major objectives can be considered: the stabilizability with respect to a given target, and the minimization of an integral functional (while the trajectories reach this ta...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"3 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614954","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
On the convergence of local solutions for the method quADAPT 论 quADAPT 方法局部解的收敛性
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-03 DOI: 10.1080/02331934.2024.2372386
Tobias Seidel, Karl-Heinz Küfer
{"title":"On the convergence of local solutions for the method quADAPT","authors":"Tobias Seidel, Karl-Heinz Küfer","doi":"10.1080/02331934.2024.2372386","DOIUrl":"https://doi.org/10.1080/02331934.2024.2372386","url":null,"abstract":"A classical solution approach to semi-infinite programming, which is easy to implement, is based on discretizing the semi-infinite index set. The Blankenship and Falk algorithm adaptively chooses a...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"60 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614143","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
Optimal Neumann control of the wave equation with L1-control cost: the finite-time turnpike property 具有 L1 控制成本的波方程的最优诺依曼控制：有限时间岔道特性
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-03 DOI: 10.1080/02331934.2024.2373904
Martin Gugat, Michael Schuster
{"title":"Optimal Neumann control of the wave equation with L1-control cost: the finite-time turnpike property","authors":"Martin Gugat, Michael Schuster","doi":"10.1080/02331934.2024.2373904","DOIUrl":"https://doi.org/10.1080/02331934.2024.2373904","url":null,"abstract":"The finite-time turnpike property describes a situation where the optimal state reaches a steady state after finite time. The steady state is a solution of a static optimal control problem. We stud...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"30 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572878","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
Accelerated optimization through time-scale analysis of inertial dynamics with asymptotic vanishing and Hessian-driven dampings 通过对具有渐近消失和黑森驱动阻尼的惯性动力学进行时间尺度分析来加速优化
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-03 DOI: 10.1080/02331934.2024.2359540
Samir Adly, Hedy Attouch
{"title":"Accelerated optimization through time-scale analysis of inertial dynamics with asymptotic vanishing and Hessian-driven dampings","authors":"Samir Adly, Hedy Attouch","doi":"10.1080/02331934.2024.2359540","DOIUrl":"https://doi.org/10.1080/02331934.2024.2359540","url":null,"abstract":"Gradient optimization algorithms can be effectively studied from the perspective of ordinary differential equations (ODEs), where these algorithms are obtained through the temporal discretization o...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"11 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572877","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
Split common null point problem for generalized monotone operators 广义单调算子的分割共空点问题
IF 2.2 3区 数学
Optimization Pub Date : 2024-07-02 DOI: 10.1080/02331934.2024.2371048
Mohammad Eslamian
{"title":"Split common null point problem for generalized monotone operators","authors":"Mohammad Eslamian","doi":"10.1080/02331934.2024.2371048","DOIUrl":"https://doi.org/10.1080/02331934.2024.2371048","url":null,"abstract":"In this article, we present some properties of the resolvent of maximally comonotone (generalized monotone) operators in Hilbert spaces. Also, we study the split common null point problem for a fin...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"24 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577804","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
Necessary optimality conditions for strictly robust bilevel optimization problems 严格鲁棒双层优化问题的必要最优条件
IF 2.2 3区 数学
Optimization Pub Date : 2024-06-28 DOI: 10.1080/02331934.2024.2370428
Nazih Abderrazzak Gadhi, Mohamed Ohda
{"title":"Necessary optimality conditions for strictly robust bilevel optimization problems","authors":"Nazih Abderrazzak Gadhi, Mohamed Ohda","doi":"10.1080/02331934.2024.2370428","DOIUrl":"https://doi.org/10.1080/02331934.2024.2370428","url":null,"abstract":"The study of robust bilevel programming problems is a relatively new area of optimization theory. In this work, we investigate a bilevel optimization problem where the upper-level and the lower-lev...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"11 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508503","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
Viscosity extragradient algorithms with double inertial extrapolation steps for quasimonotone variational inequalities and fixed point problems 针对准单调变分不等式和定点问题的双惯性外推法粘度外梯度算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-06-26 DOI: 10.1080/02331934.2024.2368070
Panpan Li, Hong-Kun Xu, Shanghong Ke
{"title":"Viscosity extragradient algorithms with double inertial extrapolation steps for quasimonotone variational inequalities and fixed point problems","authors":"Panpan Li, Hong-Kun Xu, Shanghong Ke","doi":"10.1080/02331934.2024.2368070","DOIUrl":"https://doi.org/10.1080/02331934.2024.2368070","url":null,"abstract":"We study two viscosity extragradient algorithms with double inertial extrapolation steps for finding a common solution of a variational inequality governed by a quasimonotone operator and of a fixe...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":"318 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572941","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
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