Stability and assignment of spectrum in systems with discrete time lags

Es reproducción del documento publicado en http://dx.doi.org/10.1155/DDNS/2006/76361The asymptotic stability with a prescribed degree of time delayed systems subject to multiple bounded discrete delays has received important attention in the last years. It is basically proved that the alpha-stability locally in the delays (i.e., all the eigenvalues have prefixed strictly negative real parts located in Res 0(-). The above referred number of stable matrices to be tested is 2(r) for a set of distinct r point delays and includes all possible cases of alternate signs for summations for all the matrices of delayed dynamics. The manuscript is completed with a study for prescribed closed-loop spectrum assignment ( or "pole placement") under output feedback