Zawiski, R (2018) Exact controllability of non-Lipschitz semilinear systems. Journal of Fixed Point Theory and Applications, 20. 67. ISSN 1661-7738
Abstract
We present sufficient conditions for exact controllability of a semilinear infinite-dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a nonlinear disturbance that does not need to be Lipschitz continuous. Our main result is based on a fixed point-type application of the Schmidt existence theorem and illustrated by a nonlinear transport partial differential equation.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| Keywords: | Exact controllability; nonlinear infinite-dimensional dynamical system; Schmidt existence theorem; fixed point theory |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 10 Apr 2018 11:00 |
| Last Modified: | 14 May 2018 09:39 |
| Status: | Published |
| Publisher: | Springer Verlag |
| Identification Number: | 10.1007/s11784-018-0550-5 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:129443 |
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