POLYHEDRAL REACHABLE SET WITH POSITIVE CONTROLS

Authors
FARINA L BENVENUTI L
Citation
L. Farina et L. Benvenuti, POLYHEDRAL REACHABLE SET WITH POSITIVE CONTROLS, MCSS. Mathematics of control, signals and systems, 10(4), 1997, pp. 364-380
Citations number
24
Journal title
MCSS. Mathematics of control, signals and systems → ACNP
ISSN journal
09324194
Volume
10
Issue
4
Year of publication
1997
Pages
364 - 380
Database
ISI
SICI code
0932-4194(1997)10:4<364:PRSWPC>2.0.ZU;2-B
Abstract
Given a reachable discrete-time linear system (A, b), the reachable se t is a cone when a positive constraint is imposed on the input. The pr oblem 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 particula r, conditions which ensure R, or its closure (R) over bar, is a polyhe dral proper cone are derived. The impact of the given results on finit e-time reachability and positive realizability is also discussed.