On the existence of a solution for some distributed optimal control hyperbolic system
We consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable. We prove a theorem on the existence of an optimal process in the classes of absolutely con...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200000880 |
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| _version_ | 1832552879955640320 |
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| author | Dariusz Idczak Stanislaw Walczak |
| author_facet | Dariusz Idczak Stanislaw Walczak |
| author_sort | Dariusz Idczak |
| collection | DOAJ |
| description | We consider a Bolza problem governed by a linear time-varying
Darboux-Goursat system and a nonlinear cost functional,
without the assumption of the convexity of an integrand with
respect to the state variable. We prove a theorem on the existence
of an optimal process in the classes of absolutely continuous
trajectories of two variables and measurable controls with values
in a fixed compact and convex set. |
| format | Article |
| id | doaj-art-caa7d50a75e8448a963fcff226056499 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-caa7d50a75e8448a963fcff2260564992025-02-03T05:57:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123529731110.1155/S0161171200000880On the existence of a solution for some distributed optimal control hyperbolic systemDariusz Idczak0Stanislaw Walczak1Institute of Mathematics, Łódź University, ul. Stefana Banacha 22, Łódź 90-238, PolandInstitute of Mathematics, Łódź University, ul. Stefana Banacha 22, Łódź 90-238, PolandWe consider a Bolza problem governed by a linear time-varying Darboux-Goursat system and a nonlinear cost functional, without the assumption of the convexity of an integrand with respect to the state variable. We prove a theorem on the existence of an optimal process in the classes of absolutely continuous trajectories of two variables and measurable controls with values in a fixed compact and convex set.http://dx.doi.org/10.1155/S0161171200000880Distributed parameters systemoptimal control existence theoremDarboux-Goursat system. |
| spellingShingle | Dariusz Idczak Stanislaw Walczak On the existence of a solution for some distributed optimal control hyperbolic system International Journal of Mathematics and Mathematical Sciences Distributed parameters system optimal control existence theorem Darboux-Goursat system. |
| title | On the existence of a solution for some distributed optimal control hyperbolic system |
| title_full | On the existence of a solution for some distributed optimal control hyperbolic system |
| title_fullStr | On the existence of a solution for some distributed optimal control hyperbolic system |
| title_full_unstemmed | On the existence of a solution for some distributed optimal control hyperbolic system |
| title_short | On the existence of a solution for some distributed optimal control hyperbolic system |
| title_sort | on the existence of a solution for some distributed optimal control hyperbolic system |
| topic | Distributed parameters system optimal control existence theorem Darboux-Goursat system. |
| url | http://dx.doi.org/10.1155/S0161171200000880 |
| work_keys_str_mv | AT dariuszidczak ontheexistenceofasolutionforsomedistributedoptimalcontrolhyperbolicsystem AT stanislawwalczak ontheexistenceofasolutionforsomedistributedoptimalcontrolhyperbolicsystem |