A positivity-based approach to delay-dependent stability of systems with large time-varying delays

Alexander Domoshnitsky; Emilia Fridman

doi:10.1016/j.sysconle.2016.09.011

A positivity-based approach to delay-dependent stability of systems with large time-varying delays

Alexander Domoshnitsky, Emilia Fridman

Ariel University, Tel Aviv University

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

Abstract

In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.

Original language	English
Pages (from-to)	139-148
Number of pages	10
Journal	Systems and Control Letters
Volume	97
DOIs	https://doi.org/10.1016/j.sysconle.2016.09.011
State	Published - 1 Nov 2016

Keywords

Exponential stability
Positive systems
Time-delay systems

All Science Journal Classification (ASJC) codes

Mechanical Engineering
General Computer Science
Electrical and Electronic Engineering
Control and Systems Engineering

Access to Document

10.1016/j.sysconle.2016.09.011

Cite this

@article{5e386ac3212c48c4855a7abe5ec5ee5f,

title = "A positivity-based approach to delay-dependent stability of systems with large time-varying delays",

abstract = "In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.",

keywords = "Exponential stability, Positive systems, Time-delay systems",

author = "Alexander Domoshnitsky and Emilia Fridman",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

month = nov,

day = "1",

doi = "10.1016/j.sysconle.2016.09.011",

language = "الإنجليزيّة",

volume = "97",

pages = "139--148",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - A positivity-based approach to delay-dependent stability of systems with large time-varying delays

AU - Domoshnitsky, Alexander

AU - Fridman, Emilia

PY - 2016/11/1

Y1 - 2016/11/1

N2 - In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.

AB - In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.

KW - Exponential stability

KW - Positive systems

KW - Time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=84990996998&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2016.09.011

DO - 10.1016/j.sysconle.2016.09.011

M3 - مقالة

SN - 0167-6911

VL - 97

SP - 139

EP - 148

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

A positivity-based approach to delay-dependent stability of systems with large time-varying delays

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this