TY - JOUR
T1 - Preservation of properties in discrete-time systems under substitutions
AU - Fernández-Anaya, Guillermo
AU - Flores-Godoy, Jose Job
AU - Álvarez-Rami, J. Jose
PY - 2009/7
Y1 - 2009/7
N2 - For discrete-time systems, using substitutions of the variable z by M1 functions, we give results on preservation of stability, stabilization, positive real (PR), strictly positive real (SPR), bounded real (BR), and strictly bounded real (SBR) functions, along with the ℋ∞-norm. These results can be interpreted in the sense of robust control or uniform systems. Based on these properties, we present results about preservation of the SPR Lemma and absolute stability for discrete-time descriptor systems using linear matrix inequalities (LMIs) and substitutions.
AB - For discrete-time systems, using substitutions of the variable z by M1 functions, we give results on preservation of stability, stabilization, positive real (PR), strictly positive real (SPR), bounded real (BR), and strictly bounded real (SBR) functions, along with the ℋ∞-norm. These results can be interpreted in the sense of robust control or uniform systems. Based on these properties, we present results about preservation of the SPR Lemma and absolute stability for discrete-time descriptor systems using linear matrix inequalities (LMIs) and substitutions.
KW - Discrete-time systems
KW - M functions
KW - Preservation of properties.
KW - SPR and PR functions
KW - Substitutions
UR - http://www.scopus.com/inward/record.url?scp=72749100207&partnerID=8YFLogxK
U2 - 10.1002/asjc.114
DO - 10.1002/asjc.114
M3 - Artículo
AN - SCOPUS:72749100207
SN - 1561-8625
VL - 11
SP - 367
EP - 375
JO - Asian Journal of Control
JF - Asian Journal of Control
IS - 4
ER -