Nagy, Béla and Matolcsi, Máté (2003) A lowerbound on the dimension of positive realizations. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I  FUNDAMENTAL THEORY AND APPLICATIONS, 50 (6). pp. 782784. ISSN 10577122

Text
lowerbound.pdf Download (128kB)  Preview 
Abstract
A basic phenomenon in positive system theory is that the dimension N of an arbitrary positive realization of a given transfer function H(z) may be strictly larger than the dimension n of its minimal realizations. The aim of this brief is to provide a nontrivial lower bound on the value of N under the assumption that there exists a time instant k0 at which the (always nonnegative) impulse response of H(z) is 0 but the impulse response becomes strictly positive for all k > k0. Transfer functions with this property may be regarded as extremal cases in positive system theory.
Item Type:  Article 

Uncontrolled Keywords:  System theory; VECTORS; Transfer functions; Matrix algebra; Linear systems; estimation; Positive realization; Positive linear systems; Dimension estimates; Reachability; SYSTEMS 
Subjects:  Q Science / természettudomány > QA Mathematics / matematika 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  10 Dec 2013 14:34 
Last Modified:  10 Dec 2013 14:49 
URI:  http://real.mtak.hu/id/eprint/7969 
Actions (login required)
Edit Item 