| dc.contributor.author | Majewski, Marek | |
| dc.contributor.author | Bors, Dorota | |
| dc.date.accessioned | 2013-11-21T13:24:00Z | |
| dc.date.available | 2013-11-21T13:24:00Z | |
| dc.date.issued | 2012-10-23 | |
| dc.identifier.issn | 0923-6082 | |
| dc.identifier.issn | 1573-0824 | |
| dc.identifier.uri | http://hdl.handle.net/11089/2820 | |
| dc.description | This article is published with open access at Springerlink.com | pl_PL |
| dc.description.abstract | In the paper the optimization problem described by some nonlinear hyperbolic
equation being continuous counterpart of the Fornasini-Marchesini model is considered. A
theorem on the existence of at least one solution to this hyperbolic PDE is proved and some
properties of the set of all solutions are established. The existence of a solution to an optimization
problem under appropriate assumptions is themain result of this paper. Some application
of the obtained results to the process of gas filtration is also presented. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer US | pl_PL |
| dc.relation.ispartofseries | Multidimensional Systems and Signal Processing;24 Volumes 83 Issues | |
| dc.subject | Mayer problem | pl_PL |
| dc.subject | Continuous counterpart of the Fornasini-Marchesini model | pl_PL |
| dc.subject | Existence of optimal solutions | pl_PL |
| dc.title | On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the Fornasini-Marchesini model | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 657-665 | |
| dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland | |
| dc.contributor.authorBiographicalnote | Dorota Bors is an assistant professor at the Faculty of Mathematics
and Computer Science, University of Lodz. She received her Ph. D.
degree in 2001 from the University of Lodz. Her research interests
focus on variational methods in the theory of differential equations,
optimal control problems governed by ordinary and partial differential
equations and continuous 2D control systems. | |
| dc.contributor.authorBiographicalnote | Marek Majewski is an assistant professor at the Faculty of Mathematics
and Computer Science, University of Lodz, Poland. He
received his Ph.D. degree in 2003 from the University of Lodz. His
research interests are optimal control problems described by ordinary
and partial differential equations, stability and sensitivity of
solutions, continuous 2D control systems and fractional calculus. | |
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Marchesini state-space model. Multidimensional Systems and Signal Processing, 22(4), 319–333. | |
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| dc.contributor.authorEmail | marmaj@math.uni.lodz.pl | |
| dc.contributor.authorEmail | bors@math.uni.lodz.pl | |
