Positive state-space models describe large classes of processes in econometry, epidemiology, biology, ecology, chemistry, hydraulics and logistics. These models satisfy strict algebraic conditions that can be directly fulfilled when the models are obtained by means of traditional modeling techniques by selecting the state variables in a “natural” way i.e. by associating a well-defined physical meaning to every variable. The situation is more critical when positive state-space models must be obtained by means of realization techniques from transfer functions since, in this case, the fulfillment of positivity conditions could call for the introduction of spurious dynamics and non minimal parameterizations. A possible alternative consists in using quasi-positive models; this paper discusses the pros and cons of these solutions.

Guidorzi, R., Marro, G., Diversi, R., Soverini, U. (2014). On the use of quasi-positive versus positive state-space models of externally positive discrete-time systems.

On the use of quasi-positive versus positive state-space models of externally positive discrete-time systems

GUIDORZI, ROBERTO;MARRO, GIOVANNI;DIVERSI, ROBERTO;SOVERINI, UMBERTO
2014

Abstract

Positive state-space models describe large classes of processes in econometry, epidemiology, biology, ecology, chemistry, hydraulics and logistics. These models satisfy strict algebraic conditions that can be directly fulfilled when the models are obtained by means of traditional modeling techniques by selecting the state variables in a “natural” way i.e. by associating a well-defined physical meaning to every variable. The situation is more critical when positive state-space models must be obtained by means of realization techniques from transfer functions since, in this case, the fulfillment of positivity conditions could call for the introduction of spurious dynamics and non minimal parameterizations. A possible alternative consists in using quasi-positive models; this paper discusses the pros and cons of these solutions.
2014
Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems
1511
1516
Guidorzi, R., Marro, G., Diversi, R., Soverini, U. (2014). On the use of quasi-positive versus positive state-space models of externally positive discrete-time systems.
Guidorzi, Roberto; Marro, Giovanni; Diversi, Roberto; Soverini, Umberto
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/415791
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact