Title :
Remarks on the feedback interconnection of positive linear systems
Author :
Najson, Federico
Author_Institution :
Inst. de Ing. Electr., Univ. de la Republica, Montevideo, Uruguay
Abstract :
Necessary and sufficient conditions for the well-posedness and stability of a particular class of closed-loop system composed by two monotone linear systems are presented and proved in this communication. The results are here reported and proved in discrete-time as well as in continuous-time. A discussion on the relations of the aforementioned conditions with other existing stability conditions, and in particular an useful interpretation (and also alternative proofs) of these reported conditions in terms of the Nyquist Stability Theorem, is included in the paper.
Keywords :
closed loop systems; continuous time systems; discrete time systems; feedback; linear systems; stability; Nyquist stability theorem; closed-loop system; continuous-time; discrete-time; feedback interconnection; monotone linear systems; positive linear systems; stability; well-posedness; Closed loop systems; Eigenvalues and eigenfunctions; Equations; Linear systems; Stability criteria; Transfer functions;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580105