TY - JOUR
T1 - Properties of strictly positive real functions
T2 - Products and compositions
AU - Fernández-Anaya, G.
AU - Flores-Godoy, J. J.
AU - Rodriguez-Palacios, A.
PY - 2010/4
Y1 - 2010/4
N2 - In this work necessary conditions on one side are sufficient conditions on another side given such that the product of strictly positive real (SPR) functions to be an SPR0 function. Also, sufficient conditions are given for the composition of SPR functions to be an SPR function. As a consequence, a result on robust SPR transfer functions, under non-linearly correlated perturbations in the coefficients, induced by the composition and product with SPR functions is presented. Based on these facts, we give an application on preservation of robust and simultaneous stabilisation of single-input single-output (SISO), linear time-invariant (LTI) systems. The applicability of the results is shown through two examples.
AB - In this work necessary conditions on one side are sufficient conditions on another side given such that the product of strictly positive real (SPR) functions to be an SPR0 function. Also, sufficient conditions are given for the composition of SPR functions to be an SPR function. As a consequence, a result on robust SPR transfer functions, under non-linearly correlated perturbations in the coefficients, induced by the composition and product with SPR functions is presented. Based on these facts, we give an application on preservation of robust and simultaneous stabilisation of single-input single-output (SISO), linear time-invariant (LTI) systems. The applicability of the results is shown through two examples.
KW - Composition of functions
KW - Passivity
KW - Substitutions
UR - http://www.scopus.com/inward/record.url?scp=77951101381&partnerID=8YFLogxK
U2 - 10.1080/00207720903072290
DO - 10.1080/00207720903072290
M3 - Artículo
AN - SCOPUS:77951101381
SN - 0020-7721
VL - 41
SP - 457
EP - 466
JO - International Journal of Systems Science
JF - International Journal of Systems Science
IS - 4
ER -