Open AccessA UNIFIED APPROACH TO EXPONENTIAL STABILITY ANALYSIS FOR A GENERAL CLASS OF SWITCHED TIME-DELAY LINEAR SYSTEMS
Author(s) -
Nguyen Khoa Son,
Ngoc Tuan Le
Publication year - 2021
Publication title -
journal of computer science and cybernetics (vietnam academy of science and technology)/journal of computer science and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2815-5939
pISSN - 1813-9663
DOI - 10.15625/1813-9663/37/3/16063
Subject(s) - dwell time , exponential stability , class (philosophy) , stability (learning theory) , control theory (sociology) , mathematics , exponential function , linear system , exponential growth , computer science , mathematical optimization , nonlinear system , mathematical analysis , medicine , clinical psychology , physics , control (management) , quantum mechanics , artificial intelligence , machine learning
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.