The Aizerman and Kalman conjectures using symmetry
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 Aizerm...
| Main Authors: | , |
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| Format: | Journal article |
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Elsevier
2018
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| _version_ | 1797090458636124160 |
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| author | Drummond, R Duncan, S |
| author_facet | Drummond, R Duncan, S |
| author_sort | Drummond, R |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T03:18:54Z |
| format | Journal article |
| id | oxford-uuid:b6c10a36-c231-45f7-b6db-a2ab63c2f2a9 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:18:54Z |
| publishDate | 2018 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:b6c10a36-c231-45f7-b6db-a2ab63c2f2a92022-03-27T04:43:18ZThe Aizerman and Kalman conjectures using symmetryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b6c10a36-c231-45f7-b6db-a2ab63c2f2a9Symplectic Elements at OxfordElsevier2018Drummond, RDuncan, SUsing 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. |
| spellingShingle | Drummond, R Duncan, S The Aizerman and Kalman conjectures using symmetry |
| title | The Aizerman and Kalman conjectures using symmetry |
| title_full | The Aizerman and Kalman conjectures using symmetry |
| title_fullStr | The Aizerman and Kalman conjectures using symmetry |
| title_full_unstemmed | The Aizerman and Kalman conjectures using symmetry |
| title_short | The Aizerman and Kalman conjectures using symmetry |
| title_sort | aizerman and kalman conjectures using symmetry |
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