Given a reachable discrete-time linear system (A, b), the reachable set is a cone when a positive constraint is imposed on the input. The problem to be studied is the geometrical structure of the reachable set R = cone(b, Ab, A(2)b,...) in terms of the spectrum of A. Zn particular, conditions which ensure R, or its closure (R) over bar, is a polyhedral proper cone are derived. The impact of the given results on finite-time reachability and positive realizability is also discussed.

Polyhedral reachable set with positive controls / Farina, Lorenzo; Benvenuti, Luca. - In: MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. - ISSN 0932-4194. - 10:4(1997), pp. 364-380. [10.1007/bf01211552]

Polyhedral reachable set with positive controls

FARINA, Lorenzo;BENVENUTI, Luca
1997

Abstract

Given a reachable discrete-time linear system (A, b), the reachable set is a cone when a positive constraint is imposed on the input. The problem to be studied is the geometrical structure of the reachable set R = cone(b, Ab, A(2)b,...) in terms of the spectrum of A. Zn particular, conditions which ensure R, or its closure (R) over bar, is a polyhedral proper cone are derived. The impact of the given results on finite-time reachability and positive realizability is also discussed.
1997
constrained linear systems; discrete-time linear systems; polyhedral cones; positive control; positive systems; reachability set; unilateral constraint
01 Pubblicazione su rivista::01a Articolo in rivista
Polyhedral reachable set with positive controls / Farina, Lorenzo; Benvenuti, Luca. - In: MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. - ISSN 0932-4194. - 10:4(1997), pp. 364-380. [10.1007/bf01211552]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/47076
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 13
social impact