Journal article
Regional analysis of slope restricted Lur'e systems
- Abstract:
- This paper considers the stability analysis of nonlinear Lur'e 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 L2 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Accepted manuscript, pdf, 214.5KB, Terms of use)
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- Publisher copy:
- 10.1109/TAC.2018.2849618
Authors
Funding
Bibliographic Details
- Publisher:
- IEEE
- Journal:
- IEEE Transactions on Automatic Control More from this journal
- Volume:
- 64
- Issue:
- 3
- Pages:
- 1201-1208
- Publication date:
- 2018-06-21
- Acceptance date:
- 2018-05-31
- DOI:
- EISSN:
-
1558-2523
- ISSN:
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0018-9286
Item Description
- Pubs id:
-
pubs:938723
- UUID:
-
uuid:9b745eb2-0b83-4c84-9f2f-8108c0bec9e9
- Local pid:
-
pubs:938723
- Source identifiers:
-
938723
- Deposit date:
-
2018-11-07
Terms of use
- Copyright holder:
- IEEE
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 IEEE. This is the accepted manuscript version of the article. The final version is available online from IEEE at: https://doi.org/10.1109/TAC.2018.2849618
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