TY - JOUR
T1 - Stabilization and passification of distributed-order fractional linear systems using methods of preservation
AU - Fernández-Anaya, Guillermo
AU - Flores-Godoy, José Job
AU - Lugo-Peñaloza, Armando Fabian
AU - Muñoz-Vega, Rodrígo
PY - 2013/12
Y1 - 2013/12
N2 - This paper studies the stabilization and passification of a class of distributed-order linear time-invariant systems, by using methods of preservation in the frequency domain. Results about preservation of stability and passivity of classical linear time-invariant systems are extended to one more general family of matrix functions. Based on these results, a new approach to the problems of stabilization and passification of distributed-order linear time-invariant systems is presented. Also a result that extends the known techniques for pole placement of classical linear time-invariant systems to the new class of distributed-order linear time-invariant systems is given. Examples are given to show the validity of theoretical results.
AB - This paper studies the stabilization and passification of a class of distributed-order linear time-invariant systems, by using methods of preservation in the frequency domain. Results about preservation of stability and passivity of classical linear time-invariant systems are extended to one more general family of matrix functions. Based on these results, a new approach to the problems of stabilization and passification of distributed-order linear time-invariant systems is presented. Also a result that extends the known techniques for pole placement of classical linear time-invariant systems to the new class of distributed-order linear time-invariant systems is given. Examples are given to show the validity of theoretical results.
UR - http://www.scopus.com/inward/record.url?scp=84887319434&partnerID=8YFLogxK
U2 - 10.1016/j.jfranklin.2013.03.005
DO - 10.1016/j.jfranklin.2013.03.005
M3 - Artículo
AN - SCOPUS:84887319434
SN - 0016-0032
VL - 350
SP - 2881
EP - 2900
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 10
ER -