Title :
General Transformation for Block Diagonalization of Multitime-Scale Singularly Perturbed Linear Systems
Author :
Prljaca, Naser ; Gajic, Zoran
Author_Institution :
Fac. of Electr. Eng., Tuzla Univ., Tuzla
fDate :
6/1/2008 12:00:00 AM
Abstract :
In this technical note, a general transformation for block-diagonalization (decoupling) of multitime-scale singularly perturbed linear systems composed of N subsystems is presented. The resulting decoupling corresponds to subsystem time-scales and produces N completely independent subsystems operating in different time scales.
Keywords :
linear systems; singularly perturbed systems; block diagonalization; decoupling; general transformation; multitime scale singularly perturbed linear system; time scales; Couplings; Linear systems; Newton method; Nonlinear equations; Vectors; Block diagonalization; Chang transformation; decoupling; multitime-scale systems; singular perturbations;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.921029