Lyapunov–Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form

Pierdomenico Pepe; I. Karafyllis; Z. P. Jiang

doi:10.1016/j.sysconle.2017.01.008

Lyapunov–Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form

Pierdomenico Pepe, I. Karafyllis, Z. P. Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The primary contribution of the paper is to show that the Lyapunov–Krasovskii conditions available in the literature, for checking the input-to-state stability property of systems described by neutral functional differential equations in Hale's form, are also necessary. It is shown that the Lyapunov–Krasovskii conditions available in the literature are equivalent to the input-to-state stability property, for an enlarged class of neutral systems. Finally, a novel necessary and sufficient condition for the input-to-state stability property is provided.

Original language	English (US)
Pages (from-to)	48-56
Number of pages	9
Journal	Systems and Control Letters
Volume	102
DOIs	https://doi.org/10.1016/j.sysconle.2017.01.008
State	Published - Apr 1 2017

Keywords

Converse Lyapunov–Krasovskii theorems
Input-to-state stability
Neutral functional differential equations
Time delays

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science(all)
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2017.01.008

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title = "Lyapunov–Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form",

abstract = "The primary contribution of the paper is to show that the Lyapunov–Krasovskii conditions available in the literature, for checking the input-to-state stability property of systems described by neutral functional differential equations in Hale's form, are also necessary. It is shown that the Lyapunov–Krasovskii conditions available in the literature are equivalent to the input-to-state stability property, for an enlarged class of neutral systems. Finally, a novel necessary and sufficient condition for the input-to-state stability property is provided.",

keywords = "Converse Lyapunov–Krasovskii theorems, Input-to-state stability, Neutral functional differential equations, Time delays",

author = "Pierdomenico Pepe and I. Karafyllis and Jiang, {Z. P.}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

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doi = "10.1016/j.sysconle.2017.01.008",

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T1 - Lyapunov–Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form

AU - Pepe, Pierdomenico

AU - Karafyllis, I.

AU - Jiang, Z. P.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - The primary contribution of the paper is to show that the Lyapunov–Krasovskii conditions available in the literature, for checking the input-to-state stability property of systems described by neutral functional differential equations in Hale's form, are also necessary. It is shown that the Lyapunov–Krasovskii conditions available in the literature are equivalent to the input-to-state stability property, for an enlarged class of neutral systems. Finally, a novel necessary and sufficient condition for the input-to-state stability property is provided.

AB - The primary contribution of the paper is to show that the Lyapunov–Krasovskii conditions available in the literature, for checking the input-to-state stability property of systems described by neutral functional differential equations in Hale's form, are also necessary. It is shown that the Lyapunov–Krasovskii conditions available in the literature are equivalent to the input-to-state stability property, for an enlarged class of neutral systems. Finally, a novel necessary and sufficient condition for the input-to-state stability property is provided.

KW - Converse Lyapunov–Krasovskii theorems

KW - Input-to-state stability

KW - Neutral functional differential equations

KW - Time delays

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DO - 10.1016/j.sysconle.2017.01.008

M3 - Article

AN - SCOPUS:85012908094

SN - 0167-6911

VL - 102

SP - 48

EP - 56

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

Lyapunov–Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form

Abstract

Keywords

ASJC Scopus subject areas

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