An existence theorem for optimal control with nonstandard cost functionals
An existence theorem for optimal control is obtained for a general nonstandard cost functional of fractional type in this work. As an application of our result we can derive an existence theorem for optimal control given by M. B. Subrahamanyam for a cost functional, which is a ratio of two given int...
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171287000711 |
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| _version_ | 1850163817879699456 |
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| author | R. N. Mukherjee Shiv Prasad |
| author_facet | R. N. Mukherjee Shiv Prasad |
| author_sort | R. N. Mukherjee |
| collection | DOAJ |
| description | An existence theorem for optimal control is obtained for a general nonstandard cost functional of fractional type in this work. As an application of our result we can derive an existence theorem for optimal control given by M. B. Subrahamanyam for a cost functional, which is a ratio of two given integral cost functionals. |
| format | Article |
| id | doaj-art-ed7e4b523d9f40548a3c2e862ae79f71 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ed7e4b523d9f40548a3c2e862ae79f712025-08-20T02:22:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110360961110.1155/S0161171287000711An existence theorem for optimal control with nonstandard cost functionalsR. N. Mukherjee0Shiv Prasad1Mathematics Section, School of Applied Sciences, Institute of Technology, Banaras Hindu University, Varanasi 221 005, IndiaMathematics Section, School of Applied Sciences, Institute of Technology, Banaras Hindu University, Varanasi 221 005, IndiaAn existence theorem for optimal control is obtained for a general nonstandard cost functional of fractional type in this work. As an application of our result we can derive an existence theorem for optimal control given by M. B. Subrahamanyam for a cost functional, which is a ratio of two given integral cost functionals.http://dx.doi.org/10.1155/S0161171287000711nonstandard cost functionaloptimal control. |
| spellingShingle | R. N. Mukherjee Shiv Prasad An existence theorem for optimal control with nonstandard cost functionals International Journal of Mathematics and Mathematical Sciences nonstandard cost functional optimal control. |
| title | An existence theorem for optimal control with nonstandard cost functionals |
| title_full | An existence theorem for optimal control with nonstandard cost functionals |
| title_fullStr | An existence theorem for optimal control with nonstandard cost functionals |
| title_full_unstemmed | An existence theorem for optimal control with nonstandard cost functionals |
| title_short | An existence theorem for optimal control with nonstandard cost functionals |
| title_sort | existence theorem for optimal control with nonstandard cost functionals |
| topic | nonstandard cost functional optimal control. |
| url | http://dx.doi.org/10.1155/S0161171287000711 |
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