Stabilization and passification of distributed-order fractional linear systems using methods of preservation

Guillermo Fernández-Anaya; José Job Flores-Godoy; Armando Fabian Lugo-Peñaloza; Rodrígo Muñoz-Vega

doi:10.1016/j.jfranklin.2013.03.005

Stabilization and passification of distributed-order fractional linear systems using methods of preservation

Guillermo Fernández-Anaya, José Job Flores-Godoy, Armando Fabian Lugo-Peñaloza, Rodrígo Muñoz-Vega

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2881-2900
Number of pages	20
Journal	Journal of the Franklin Institute
Volume	350
Issue number	10
DOIs	https://doi.org/10.1016/j.jfranklin.2013.03.005
State	Published - Dec 2013
Externally published	Yes

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10.1016/j.jfranklin.2013.03.005

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title = "Stabilization and passification of distributed-order fractional linear systems using methods of preservation",

abstract = "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.",

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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.

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JF - Journal of the Franklin Institute

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ER -

Stabilization and passification of distributed-order fractional linear systems using methods of preservation

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