Journal article
The Aizerman and Kalman conjectures using symmetry
- Abstract:
- Using a decomposition of a Lurie system in terms of symmetric and skew-symmetric matrices, this paper presents reformulations of the classical conjectures of Aizerman and Kalman which give valid conditions for absolute stability. Under this decomposition, it is shown that a restatement of the Aizerman conjecture implies stability while the re-stated Kalman conjecture implies contraction.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 271.3KB)
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- Publisher copy:
- 10.1016/j.automatica.2018.02.002
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Authors
Funding
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Automatica Journal website
- Volume:
- 92
- Pages:
- 240-243
- Publication date:
- 2018-03-22
- Acceptance date:
- 2018-01-16
- DOI:
- EISSN:
-
1873-2836
- ISSN:
-
0005-1098
- Source identifiers:
-
834196
Item Description
- Keywords:
- Pubs id:
-
pubs:834196
- UUID:
-
uuid:b6c10a36-c231-45f7-b6db-a2ab63c2f2a9
- Local pid:
- pubs:834196
- Deposit date:
- 2018-06-20
Terms of use
- Copyright holder:
- Elsevier Ltd
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 Elsevier Ltd. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.automatica.2018.02.002
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