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Zames-Falb multipliers for absolute stability: From O'Shea's contribution to convex searches

Zames-Falb multipliers for absolute stability: From O'Shea's contribution to convex searches
Zames-Falb multipliers for absolute stability: From O'Shea's contribution to convex searches

Absolute stability attracted much attention in the sixties. Several stability conditions for loops with slope-restricted nonlinearities were developed. Results such as the Circle Criterion and the Popov Criterion form part of the core curriculum for students of control. Moreover, the equivalence of results obtained by different techniques, specifically Lyapunov and Popov's stability theories, led to one of the most important results in control engineering: the KYP Lemma.

1267-1284
Institute of Electrical and Electronics Engineers Inc.
Carrasco, J.
6dba8ca2-fead-4bc2-9773-abf29637f8f5
Turner, M. C.
6befa01e-0045-4806-9c91-a107c53acba0
Heath, W. P.
ede50e6f-18c2-45dd-a5dc-b8d541943242
Carrasco, J.
6dba8ca2-fead-4bc2-9773-abf29637f8f5
Turner, M. C.
6befa01e-0045-4806-9c91-a107c53acba0
Heath, W. P.
ede50e6f-18c2-45dd-a5dc-b8d541943242

Carrasco, J., Turner, M. C. and Heath, W. P. (2015) Zames-Falb multipliers for absolute stability: From O'Shea's contribution to convex searches. In 2015 European Control Conference, ECC 2015. Institute of Electrical and Electronics Engineers Inc. pp. 1267-1284 . (doi:10.1109/ECC.2015.7330714).

Record type: Conference or Workshop Item (Paper)

Abstract

Absolute stability attracted much attention in the sixties. Several stability conditions for loops with slope-restricted nonlinearities were developed. Results such as the Circle Criterion and the Popov Criterion form part of the core curriculum for students of control. Moreover, the equivalence of results obtained by different techniques, specifically Lyapunov and Popov's stability theories, led to one of the most important results in control engineering: the KYP Lemma.

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More information

Published date: 16 November 2015
Venue - Dates: European Control Conference, ECC 2015, Austria, 2015-07-14 - 2015-07-16

Identifiers

Local EPrints ID: 439219
URI: http://eprints.soton.ac.uk/id/eprint/439219
PURE UUID: aabb369c-31b9-440f-bbef-f3663fc532d4

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Date deposited: 07 Apr 2020 16:30
Last modified: 07 Apr 2020 16:30

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Contributors

Author: J. Carrasco
Author: M. C. Turner
Author: W. P. Heath

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