Discussion on: 'Practical Stability of Time-Delay Systems:LMI's Approach'

摘要

The paper by R. Villafuerte, S. Mondie and A. Poznyak [14] point out the problem of achieving practical stability of time-delay systems by reducing both the stability and stabilization problems to LMI optimization. The paper is a continuation of the research in two conference papers by the same authors [15], [16]. The authors first review a specific concept of practical stability, then using Lyapunov-Krasovskii functionals, they are able to provide sufficient conditions for the practical stability and stabilization of time-delay systems using LMIs. The approach also allows them to obtain bounds on the practical stability region. The paper focuses on Linear systems even though stability concepts and tests are introduced for nonlinear systems.