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

Denis Efimov; Emilia Fridman

doi:10.1016/j.ifacol.2019.11.748

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

Denis Efimov, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Conference article › peer-review

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 language	English
Pages (from-to)	13-18
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	52
Issue number	16
DOIs	https://doi.org/10.1016/j.ifacol.2019.11.748
State	Published - Sep 2019
Event	11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 - Vienna, Austria Duration: 4 Sep 2019 → 6 Sep 2019

Keywords

Lyapunov-Krasovskii functional
Neutral time-delay systems
Stabilty

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

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10.1016/j.ifacol.2019.11.748

Cite this

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title = "A note on converse Lyapunov-Krasovskii theorems for nonlinear neutral systems in Sobolev spaces",

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.",

keywords = "Lyapunov-Krasovskii functional, Neutral time-delay systems, Stabilty",

author = "Denis Efimov and Emilia Fridman",

note = "Publisher Copyright: {\textcopyright} 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.; 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 ; Conference date: 04-09-2019 Through 06-09-2019",

year = "2019",

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T1 - A note on converse Lyapunov-Krasovskii theorems for nonlinear neutral systems in Sobolev spaces

AU - Efimov, Denis

AU - Fridman, Emilia

PY - 2019/9

Y1 - 2019/9

N2 - 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.

AB - 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.

KW - Lyapunov-Krasovskii functional

KW - Neutral time-delay systems

KW - Stabilty

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U2 - 10.1016/j.ifacol.2019.11.748

DO - 10.1016/j.ifacol.2019.11.748

M3 - مقالة من مؤنمر

SN - 2405-8963

VL - 52

SP - 13

EP - 18

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 16

T2 - 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019

Y2 - 4 September 2019 through 6 September 2019

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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