Jacob, B, Mironchenko, A, Partington, JR orcid.org/0000-0002-6738-3216 et al. (1 more author) (2019) Remarks on Input-to-State Stability and Non-Coercive Lyapunov Functions. In: Proceedings of the 57th IEEE Conference on Decision and Control (CDC). 57th IEEE Conference on Decision and Control, 17-19 Dec 2018, Miami Beach, FL, USA. Institute of Electrical and Electronics Engineers ISBN 978-1-5386-1396-2
Abstract
We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this class the significance of noncoercive Lyapunov functions is analyzed. It is shown that the existence of such Lyapunov functions implies integral input-to-integral state stability. Assuming further regularity it is possible to conclude input-to-state stability. For a particular class of linear systems with unbounded admissible input operators, explicit constructions of noncoercive Lyapunov functions are provided. The theory is applied to a heat equation with Dirichlet boundary conditions.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018, IEEE. 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. |
Keywords: | Lyapunov methods, Control systems, Aerospace electronics, Linear systems, Stability analysis, Asymptotic stability |
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: | 09 Aug 2019 13:35 |
Last Modified: | 13 Aug 2019 16:26 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers |
Identification Number: | 10.1109/CDC.2018.8618712 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:149485 |