The positive realization problem for linear systems is to find, for a given transfer function, all possible realizations with a state space of minimal dimension such that the resulting system is a positive system. In this paper, discrete-time positive linear systems having the nonnegative orthant reachable from the origin in a finite time interval with nonnegative inputs, are considered and the solution of the positive realization problem for this class of systems is given. Copyright (C) 1996 Published by Elsevier Science Ltd
Minimal order realizations for a class of positive linear systems / Farina, Lorenzo. - In: JOURNAL OF THE FRANKLIN INSTITUTE. - ISSN 0016-0032. - 333B:6(1996), pp. 893-900. [10.1016/0016-0032(96)00051-8]
Minimal order realizations for a class of positive linear systems
FARINA, Lorenzo
1996
Abstract
The positive realization problem for linear systems is to find, for a given transfer function, all possible realizations with a state space of minimal dimension such that the resulting system is a positive system. In this paper, discrete-time positive linear systems having the nonnegative orthant reachable from the origin in a finite time interval with nonnegative inputs, are considered and the solution of the positive realization problem for this class of systems is given. Copyright (C) 1996 Published by Elsevier Science LtdI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
