On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

Wenjie Mei; Denis Efimov; Rosane Ushirobira; Emilia Fridman

doi:https://doi.org/10.1109/TAC.2022.3200972

On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

Wenjie Mei, Denis Efimov, Rosane Ushirobira, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

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

Abstract

In this article, input-To-state stability and stabilization conditions in time-delay generalized Persidskii systems are studied. These conditions are formulated in terms of linear matrix inequalities, which may depend on delay values, and be local or global in state-space. Numerical examples of opinion dynamics and the Lotka-Volterra model illustrate the efficiency of the proposed results.

Original language	English
Pages (from-to)	4225-4232
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	68
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2022.3200972
State	Published - 1 Jul 2023

Keywords

Biological systems
delay systems
delay-dependent
feedback
generalized Persidskii systems
nonlinear systems
stability analysis

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Control and Systems Engineering
Computer Science Applications

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https://doi.org/10.1109/TAC.2022.3200972

Cite this

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title = "On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems",

abstract = "In this article, input-To-state stability and stabilization conditions in time-delay generalized Persidskii systems are studied. These conditions are formulated in terms of linear matrix inequalities, which may depend on delay values, and be local or global in state-space. Numerical examples of opinion dynamics and the Lotka-Volterra model illustrate the efficiency of the proposed results.",

keywords = "Biological systems, delay systems, delay-dependent, feedback, generalized Persidskii systems, nonlinear systems, stability analysis",

author = "Wenjie Mei and Denis Efimov and Rosane Ushirobira and Emilia Fridman",

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AU - Efimov, Denis

AU - Ushirobira, Rosane

AU - Fridman, Emilia

PY - 2023/7/1

Y1 - 2023/7/1

N2 - In this article, input-To-state stability and stabilization conditions in time-delay generalized Persidskii systems are studied. These conditions are formulated in terms of linear matrix inequalities, which may depend on delay values, and be local or global in state-space. Numerical examples of opinion dynamics and the Lotka-Volterra model illustrate the efficiency of the proposed results.

AB - In this article, input-To-state stability and stabilization conditions in time-delay generalized Persidskii systems are studied. These conditions are formulated in terms of linear matrix inequalities, which may depend on delay values, and be local or global in state-space. Numerical examples of opinion dynamics and the Lotka-Volterra model illustrate the efficiency of the proposed results.

KW - Biological systems

KW - delay systems

KW - delay-dependent

KW - feedback

KW - generalized Persidskii systems

KW - nonlinear systems

KW - stability analysis

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M3 - مقالة

SN - 0018-9286

VL - 68

SP - 4225

EP - 4232

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 7

ER -

On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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