DC Field | Value | Language |
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dc.contributor.author | Lee, Jun Hui | - |
dc.contributor.author | Na, Hyeon-Woo | - |
dc.contributor.author | Park, PooGyeon | - |
dc.date.accessioned | 2023-06-02T00:20:28Z | - |
dc.date.available | 2023-06-02T00:20:28Z | - |
dc.date.created | 2023-02-02 | - |
dc.date.issued | 2023-02 | - |
dc.identifier.issn | 0016-0032 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/117749 | - |
dc.description.abstract | © 2022 The Franklin InstituteThis paper proposes an extended generalized integral inequality based on free matrices (EGIIFM) and applies it to the stability analysis of neural networks with time-varying delays. The EGIIFM estimates an upper bound for a quadratic form of a positive definite matrix with an augmented vector staked not only with the state and its derivative but also with the nonlinear activation function. By reflecting the correlated cross-information among the terms in the augmented vector as free matrices, the EGIIFM provides a tighter upper bound and encompasses various existing single integral inequalities as special cases. In addition, by establishing a new double integral Lyapunov–Krasovskii functional including the correlated cross-information, a less conservative stability criterion is obtained. Through three well-known numerical examples, the effectiveness of the EGIIFM is evaluated. | - |
dc.language | English | - |
dc.publisher | Pergamon Press Ltd. | - |
dc.relation.isPartOf | Journal of the Franklin Institute | - |
dc.title | An extended generalized integral inequality based on free matrices and its application to stability analysis of neural networks with time-varying delays | - |
dc.type | Article | - |
dc.identifier.doi | 10.1016/j.jfranklin.2022.12.042 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Journal of the Franklin Institute, v.360, no.3, pp.1690 - 1705 | - |
dc.citation.endPage | 1705 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1690 | - |
dc.citation.title | Journal of the Franklin Institute | - |
dc.citation.volume | 360 | - |
dc.contributor.affiliatedAuthor | Lee, Jun Hui | - |
dc.contributor.affiliatedAuthor | Na, Hyeon-Woo | - |
dc.contributor.affiliatedAuthor | Park, PooGyeon | - |
dc.identifier.scopusid | 2-s2.0-85145972852 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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