A UNIFIED APPROACH TO EXPONENTIAL STABILITY ANALYSIS FOR A GENERAL CLASS OF SWITCHED TIME-DELAY LINEAR  SYSTEMS

Nguyen Khoa Son; Ngoc Van Le

doi:10.15625/1813-9663/37/3/16063

A UNIFIED APPROACH TO EXPONENTIAL STABILITY ANALYSIS FOR A GENERAL CLASS OF SWITCHED TIME-DELAY LINEAR SYSTEMS

Nguyen Khoa Son

, Ngoc Van Le

Author affiliations

Authors

Nguyen Khoa Son Institute of Mathematics, VAST http://orcid.org/0000-0002-9685-796X
Ngoc Van Le Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology

DOI:

https://doi.org/10.15625/1813-9663/37/3/16063

Keywords:

exponential stability, switched systems, functional differential equations, positive systems, average dwell time

Abstract

This paper proposes a unified approach to study global exponential stability for a class of switched time-delay linear systems described by general linear functional differential equations. Several new delay-dependent criteria of exponential stability are established for this class of systems, under arbitrary switching which satisfies some assumptions on the minimum dwell time or the average dwell time. As particular cases, the obtained results are shown to include and improve many previously known results. An example is given to illustrate the proposed method.

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Published

28-09-2021

How to Cite

[1]

N. Khoa Son and N. V. Le, “A UNIFIED APPROACH TO EXPONENTIAL STABILITY ANALYSIS FOR A GENERAL CLASS OF SWITCHED TIME-DELAY LINEAR SYSTEMS”, JCC, vol. 37, no. 3, pp. 339–350, Sep. 2021.

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Issue

Vol. 37 No. 3 (2021)

Section

SPECIAL ISSUE DEDICATED TO THE MEMORY OF PROFESSOR PHAN DINH DIEU - PART A

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