A note on converse Lyapunov-Krasovskii theorems for nonlinear neutral systems in Sobolev spaces

Denis Efimov, Emilia Fridman

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations

Abstract

The problem of existence of a Lyapunov-Krasovskii functional (LKF) for nonlinear neutral type time-delay systems is revisited considering the uniform stability analysis and the LKF in a Sobolev space of absolutely continuous functions with bounded derivatives.

Original languageEnglish
Pages (from-to)13-18
Number of pages6
JournalIFAC-PapersOnLine
Volume52
Issue number16
DOIs
StatePublished - Sep 2019
Event11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 - Vienna, Austria
Duration: 4 Sep 20196 Sep 2019

Funding

FundersFunder number
Ministry of Education and Science of the Russian Federation
Israel Science Foundation1128/14
Government Council on Grants, Russian Federation08-08

    Keywords

    • Lyapunov-Krasovskii functional
    • Neutral time-delay systems
    • Stabilty

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