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Title: Lyapunov functions and L-2 gain bounds for systems with slope restricted nonlinearities
Authors: Turner, Matthew C.
Kerr, M.
First Published: 4-May-2014
Publisher: Elsevier
Citation: Systems & Control Letters, 2014, 69, pp. 1-6 (6)
Abstract: The stability and L2L2 performance analysis of systems consisting of an interconnection of a linear-time-invariant (LTI) system and a static nonlinear element which is Lipschitz, slope restricted and sector bounded is revisited. The main thrust of the paper is to improve and extend an existing result in the literature to enable (i) concise and correct conditions for asymptotic stability of the interconnection and (ii) reasonably tight bounds on the L2L2 gain between an exogenous input and a given output to be obtained. Numerical examples indicate that the proposed algorithm performs well compared to competing results in the literature.
DOI Link: 10.1016/j.sysconle.2014.04.002
ISSN: 0167-6911
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2014 Elsevier B.V. All rights reserved. This manuscript version is made available after the end of the embargo period under the CC-BY-NC-ND 4.0 license 
Description: The file associated with this record is under a 24-month embargo from publication in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, Dept. of Engineering

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