Delay-Independent Stability Criteria for Single and Composite Linear Systems with Multiple Time-Varying Delays
Xu Bugong
Abstract：This paper presents the sufficient stability criteria for single and composite linear systems with multiple time-varying delays respectively. The results are derived by using Razumikhin-type theorem together with an algebraic inequality technique. It also provides some approaches for determining the free parameter matrices and scalars in the established criteria. The obtained criteria do not depend on the quantity or derivative of delays. Therefore,they are suitable for systems either with time-varying delays or with constant delays or without delay. Finally,some examples and remarks are given to illustrate the applications of the proposed methods and to compare the obtained results with the existing ones in the literature.
Keywords：single and composite systemsmultiple time-varying delaysstability criteria optimization
Publication Date：1999-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 373-379 )