Pub Date : 2024-07-08DOI: 10.1080/02331934.2024.2375422
Mustapha Serhani, Nadia Raissi
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...
{"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}
Pub Date : 2024-07-05DOI: 10.1080/02331934.2024.2374513
N. Hoseini Monjezi, S. Nobakhtian
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...
{"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}
Pub Date : 2024-07-04DOI: 10.1080/02331934.2024.2374945
Kristóf Bérczi, Lydia Mirabel Mendoza-Cadena
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)...
{"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}
Pub Date : 2024-07-04DOI: 10.1080/02331934.2024.2374516
Giovanni Fusco, Monica Motta, Franco Rampazzo
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...
{"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}
Pub Date : 2024-07-03DOI: 10.1080/02331934.2024.2372386
Tobias Seidel, Karl-Heinz Küfer
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...
{"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}
Pub Date : 2024-07-03DOI: 10.1080/02331934.2024.2373904
Martin Gugat, Michael Schuster
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...
{"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}
Pub Date : 2024-07-03DOI: 10.1080/02331934.2024.2359540
Samir Adly, Hedy Attouch
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...
{"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}
Pub Date : 2024-07-02DOI: 10.1080/02331934.2024.2371048
Mohammad Eslamian
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...
{"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}
Pub Date : 2024-06-28DOI: 10.1080/02331934.2024.2370428
Nazih Abderrazzak Gadhi, Mohamed Ohda
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...
{"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}
Pub Date : 2024-06-26DOI: 10.1080/02331934.2024.2368070
Panpan Li, Hong-Kun Xu, Shanghong Ke
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...
{"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}
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