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. 782-784. ISSN 1057-7122
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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 non-trivial 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 |
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| 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 |
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