Aizerman conjectures for a class of multivariate positive systems
Aizerman conjectures for a class of multivariate positive systems
The Aizerman conjecture predicts stability for a class of nonlinear control systems on the basis of linear system stability analysis. The conjecture is known to be false in general. Here, a number of Aizerman conjectures are shown to be true for a class of internally positive multivariate systems, under a natural generalization of the classical sector condition and, moreover, guarantee positivity in closed loop. These results are stronger and/or more general than existing results. This article relates the obtained results to other, diverse, results in the literature.
5073-5080
Drummond, Ross
45b997fe-e5e3-4d81-95ce-401f98d5dd8b
Turner, Matthew
6befa01e-0045-4806-9c91-a107c53acba0
Guiver, Chris
53ff25f4-6df8-49ab-a923-6f8484b03eef
Turner, Matthew C.
fdb5ea0d-7ced-48f7-90a4-28e92d5fa3ff
27 October 2022
Drummond, Ross
45b997fe-e5e3-4d81-95ce-401f98d5dd8b
Turner, Matthew
6befa01e-0045-4806-9c91-a107c53acba0
Guiver, Chris
53ff25f4-6df8-49ab-a923-6f8484b03eef
Turner, Matthew C.
fdb5ea0d-7ced-48f7-90a4-28e92d5fa3ff
Drummond, Ross, Turner, Matthew, Guiver, Chris and Turner, Matthew C.
(2022)
Aizerman conjectures for a class of multivariate positive systems.
IEEE Transactions on Automatic Control, 68 (8), .
(doi:10.1109/TAC.2022.3217740).
Abstract
The Aizerman conjecture predicts stability for a class of nonlinear control systems on the basis of linear system stability analysis. The conjecture is known to be false in general. Here, a number of Aizerman conjectures are shown to be true for a class of internally positive multivariate systems, under a natural generalization of the classical sector condition and, moreover, guarantee positivity in closed loop. These results are stronger and/or more general than existing results. This article relates the obtained results to other, diverse, results in the literature.
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Aizerman_Conjecture
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Published date: 27 October 2022
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Local EPrints ID: 491761
URI: http://eprints.soton.ac.uk/id/eprint/491761
ISSN: 0018-9286
PURE UUID: 61864d16-1740-4006-a673-60c04918f07e
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Date deposited: 03 Jul 2024 17:14
Last modified: 11 Jul 2024 04:11
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Author:
Ross Drummond
Author:
Matthew Turner
Author:
Chris Guiver
Author:
Matthew C. Turner
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