Open AccessStability of Non-Neutral and Neutral Dynamic Switched Systems Subject to Internal Delays
Author(s) -
M. De La Sen,
J. L. Malaina,
Antonio J. Gallego,
Juan Carlos Soto
Publication year - 2005
Publication title -
american journal of applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1554-3641
pISSN - 1546-9239
DOI - 10.3844/ajassp.2005.1481.1490
Subject(s) - subject (documents) , control theory (sociology) , stability (learning theory) , computer science , mathematics , artificial intelligence , control (management) , machine learning , library science
This study deals with the quadratic stability and linear state-feedback and output-feedback stabilization of switched delayed linear dynamic systems with, in general, a finite number of non commensurate constant internal point delays. The results are obtained based on Lyapunov’s stability analysis via appropriate Krasovsky-Lyapunov’s functionals and the related stability study is performed to obtain both delay independent and delay dependent results. It is proved that the stabilizing switching rule is arbitrary if all the switched subsystems are quadratically stable and that it exists a (in general, non-unique) stabilizing switching law when the system is polytopic, stable at some interior point of the polytope but with non-necessarily stable parameterizations at the vertices defining the subsystems