TY - JOUR
T1 - Quasipolynomials and the structure at infinity of linear systems with delay
AU - Figueroa, Maricela
AU - De Jesús Rubio, José
AU - Leyva, Ytzeen
PY - 2011/9
Y1 - 2011/9
N2 - In this paper is studied the structure at infinity of linear systems with delays and the transfer function is expressed as a quotient of quasipolynomials. To know the behaviour at infinity of the transfer function is studied the location of the roots of quasipolynomials in the extended complex plane. It also explores the concept of zero at infinity of a rational function, since the structure at infinity is related to the zeros at infinity of the transfer function. Subsequently, there is an application to the problem of disturbance rejection.
AB - In this paper is studied the structure at infinity of linear systems with delays and the transfer function is expressed as a quotient of quasipolynomials. To know the behaviour at infinity of the transfer function is studied the location of the roots of quasipolynomials in the extended complex plane. It also explores the concept of zero at infinity of a rational function, since the structure at infinity is related to the zeros at infinity of the transfer function. Subsequently, there is an application to the problem of disturbance rejection.
KW - Linear systems with delay
KW - Quasipolynomials
KW - Transfer function
KW - Zero at infinity
UR - http://www.scopus.com/inward/record.url?scp=84861416705&partnerID=8YFLogxK
U2 - 10.1504/IJSCC.2011.042436
DO - 10.1504/IJSCC.2011.042436
M3 - Artículo
SN - 1755-9340
VL - 3
SP - 302
EP - 321
JO - International Journal of Systems, Control and Communications
JF - International Journal of Systems, Control and Communications
IS - 3
ER -