Jacob, B, Nabiullin, R, Partington, J orcid.org/0000-0002-6738-3216 et al. (1 more author) (2016) On input-to-state-stability and integral input-to-state-stability for parabolic boundary control systems. In: Proceedings of the 2016 IEEE 55th Conference on Decision and Control (CDC). CDC 2016: IEEE 55th Conference on Decision and Control, 12-14 Dec 2016, Las Vegas, NV, USA. IEEE , pp. 2265-2269. ISBN 978-1-5090-1837-6
Abstract
This work contributes to the recently intensified study of input-to-state stability for infinite-dimensional systems. The focus is laid on the relation between input-to-state stability and integral input-to-state stability for linear systems with a possibly unbounded control operator. The main result is that for parabolic diagonal systems both notions coincide, even in the setting of inputs in L ∞ , and a simple criterion is derived.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 IEEE. This is an author produced version of a paper published in Proceedings of the 2016 IEEE 55th Conference on Decision and Control (CDC). Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Stability criteria; Integral equations; Hilbert space; Aerospace electronics; Eigenvalues and eigenfunctions |
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: | 27 Nov 2018 10:22 |
Last Modified: | 27 Nov 2018 11:43 |
Status: | Published |
Publisher: | IEEE |
Identification Number: | 10.1109/CDC.2016.7798600 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:138960 |