Valmorbida, G. orcid.org/0000-0002-1710-8590, Drummond, R. orcid.org/0000-0002-2586-1718 and Duncan, S.R. orcid.org/0000-0002-9525-7305 (2019) Regional analysis of slope-restricted Lurie systems. IEEE Transactions on Automatic Control, 64 (3). pp. 1201-1208. ISSN 0018-9286
Abstract
This paper considers the stability analysis of nonlinear Lurie type systems where the nonlinearity is both (locally) sector and slope restricted. Convex conditions for verifying stability, computing outer estimates of reachable sets, and upper bounds on the induced L 2 gain in a local or global domain are proposed. The conditions use a Lyapunov function that is quadratic on both the states and the nonlinearity and has an integral term on the nonlinearity. Numerical examples outline the benefits of the proposed approach.
Metadata
Item Type: | Article |
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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 users, 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 components of this work in other works. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Nonlinear control systems; absolute stability; region of attraction |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 14 Feb 2024 10:45 |
Last Modified: | 14 Feb 2024 10:45 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
Refereed: | Yes |
Identification Number: | 10.1109/tac.2018.2849618 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:209075 |