A dissipative approach to the stability of multi-order fractional systems
Admission date
dc.date.accessioned
2020-06-22T22:52:37Z
Available date
dc.date.available
2020-06-22T22:52:37Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
IMA Journal of Mathematical Control and Information (2020) 37, 143–158
es_ES
Identifier
dc.identifier.other
10.1093/imamci/dny043
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/175631
Abstract
dc.description.abstract
Real-order generalization of dissipativeness and passivity concepts are presented in this paper. They are characterized as properties of a system; that is, they are independent of the system's internal representation and independent of the type of fractional derivative defining that representation. With the aid of these extended concepts, the stability analysis of linearly interconnected multi-order (mixed-order or multivariable) linear or nonlinear systems consisting of integer and fractional order subsystems becomes a well-defined problem and it is reduced to verify algebraic inequalities and/or the dissipativenes of each subsystem. In particular, small gain and passivity theorems for multi-order systems are obtained. Examples show the benefits in simplicity obtained with this approach when analysing the stability of large-scale multi-order nonlinear systems.
es_ES
Patrocinador
dc.description.sponsorship
Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)
FB0809
Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)
CONICYT FONDECYT
1150488