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

Department of Mathematics

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

35 Scopus citations

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

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10.1016/j.sysconle.2016.09.011

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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",

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AU - Domoshnitsky, Alexander

AU - Fridman, Emilia

PY - 2016/11/1

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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

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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

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Keywords

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