A discrete-time positive linear system has the property that any nonnegative initial state and any nonnegative input produces a nonnegative trajectory in the state space and output for all time. Such systems are Rn+-reachable if every state of the nonnegative orthant Rn+ is reachable from origin with a nonnegative input function, in a finite-time interval. A simple necessary and sufficient condition for Rn+-realizability, i.e. for the existence of a nonnegative realization that is also Rn+-reachable, is stated. The realization procedure is straightforward.
A note on discrete-time positive realizations / Farina, Lorenzo. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 22:(1994), pp. 467-469.
A note on discrete-time positive realizations
FARINA, Lorenzo
1994
Abstract
A discrete-time positive linear system has the property that any nonnegative initial state and any nonnegative input produces a nonnegative trajectory in the state space and output for all time. Such systems are Rn+-reachable if every state of the nonnegative orthant Rn+ is reachable from origin with a nonnegative input function, in a finite-time interval. A simple necessary and sufficient condition for Rn+-realizability, i.e. for the existence of a nonnegative realization that is also Rn+-reachable, is stated. The realization procedure is straightforward.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
