Exponential turnpike property for particle systems and mean-field limit
This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal states and optimal control are proven. Moreover, we...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
|
| Series: | European Journal of Applied Mathematics |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S0956792524000871/type/journal_article |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832584939521966080 |
|---|---|
| author | Michael Herty Yizhou Zhou |
| author_facet | Michael Herty Yizhou Zhou |
| author_sort | Michael Herty |
| collection | DOAJ |
| description | This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal states and optimal control are proven. Moreover, we show that all the results for particle systems can be preserved under the limit in the case of infinitely many particles. |
| format | Article |
| id | doaj-art-879bde042dd6427b986346aa6daa3626 |
| institution | Kabale University |
| issn | 0956-7925 1469-4425 |
| language | English |
| publisher | Cambridge University Press |
| record_format | Article |
| series | European Journal of Applied Mathematics |
| spelling | doaj-art-879bde042dd6427b986346aa6daa36262025-01-27T08:02:47ZengCambridge University PressEuropean Journal of Applied Mathematics0956-79251469-442511910.1017/S0956792524000871Exponential turnpike property for particle systems and mean-field limitMichael Herty0Yizhou Zhou1https://orcid.org/0009-0003-8522-2664IGPM, RWTH Aachen University, Aachen, GermanyIGPM, RWTH Aachen University, Aachen, GermanyThis work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissipativity of the cost function, exponential estimates for both optimal states and optimal control are proven. Moreover, we show that all the results for particle systems can be preserved under the limit in the case of infinitely many particles.https://www.cambridge.org/core/product/identifier/S0956792524000871/type/journal_articleexponential turnpike propertymean-field limitoptimal control93C2049N1035Q89 |
| spellingShingle | Michael Herty Yizhou Zhou Exponential turnpike property for particle systems and mean-field limit European Journal of Applied Mathematics exponential turnpike property mean-field limit optimal control 93C20 49N10 35Q89 |
| title | Exponential turnpike property for particle systems and mean-field limit |
| title_full | Exponential turnpike property for particle systems and mean-field limit |
| title_fullStr | Exponential turnpike property for particle systems and mean-field limit |
| title_full_unstemmed | Exponential turnpike property for particle systems and mean-field limit |
| title_short | Exponential turnpike property for particle systems and mean-field limit |
| title_sort | exponential turnpike property for particle systems and mean field limit |
| topic | exponential turnpike property mean-field limit optimal control 93C20 49N10 35Q89 |
| url | https://www.cambridge.org/core/product/identifier/S0956792524000871/type/journal_article |
| work_keys_str_mv | AT michaelherty exponentialturnpikepropertyforparticlesystemsandmeanfieldlimit AT yizhouzhou exponentialturnpikepropertyforparticlesystemsandmeanfieldlimit |