Interval Exponential Stability/Stabilization for Linear Time-Varying Delay Switched Systems
DAI Yuzhen
ZHANG Huasheng
Abstract：The problem of the interval exponential stability and stabilization for linear switched time-var-ying delay systems is examined,which is focus on the reflection and adjustment of convergence rates.Firstly,based on the relationship between system matrices and linear time-varying delay switched systems stability,the definition of interval exponential stability is proposed.A new criterion for the stability of the interval exponential based on the average dwell time method is provided.Then,by the new controller de-sign method,the controller can not only ensure exponential stabilization but also constrain the convergence rate of the system.Finally,the validation of the mentioned method is checked by two examples.
Keywords：convergent speed constraintsinterval exponential stabilitylinear time-varying delay switched systemsarbitrary switching signalinterval exponential stabilization
Publication Date：2024-10-28
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：11( 18-28 )