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...
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| Formáid: | Journal article |
| Foilsithe / Cruthaithe: |
Elsevier
2018
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| Achoimre: | 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. |
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