Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities

The problem of absolute stability of Lur'e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some exis...

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Detalles Bibliográficos
Autores principales: Liu, Xian, Du, Jiajia, Gao, Qing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3926255/
https://www.ncbi.nlm.nih.gov/pubmed/24592160
http://dx.doi.org/10.1155/2014/278305
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author Liu, Xian
Du, Jiajia
Gao, Qing
author_facet Liu, Xian
Du, Jiajia
Gao, Qing
author_sort Liu, Xian
collection PubMed
description The problem of absolute stability of Lur'e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results.
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spelling pubmed-39262552014-03-03 Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities Liu, Xian Du, Jiajia Gao, Qing ScientificWorldJournal Research Article The problem of absolute stability of Lur'e systems with sector and slope restricted nonlinearities is revisited. Novel time-domain and frequency-domain criteria are established by using the Lyapunov method and the well-known Kalman-Yakubovich-Popov (KYP) lemma. The criteria strengthen some existing results. Simulations are given to illustrate the efficiency of the results. Hindawi Publishing Corporation 2014-01-28 /pmc/articles/PMC3926255/ /pubmed/24592160 http://dx.doi.org/10.1155/2014/278305 Text en Copyright © 2014 Xian Liu et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Liu, Xian
Du, Jiajia
Gao, Qing
Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
title Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
title_full Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
title_fullStr Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
title_full_unstemmed Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
title_short Stability Analysis of Nonlinear Systems with Slope Restricted Nonlinearities
title_sort stability analysis of nonlinear systems with slope restricted nonlinearities
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3926255/
https://www.ncbi.nlm.nih.gov/pubmed/24592160
http://dx.doi.org/10.1155/2014/278305
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