Title
On approximate stochastic realization
Abstract
The problem considered here is to represent a stationary stochastic processy with a low-dimensional stochastic model. This problem occurs when the state space of an exact realization ofy has a very large dimension. The reduction is obtained in this large state space, exploiting its markovian structure to characterize all markovian subspaces, among which a reducedk-dimensional model is sought. The concept of markovian basis is introduced, and its equivalence with the Malmquist basis in the spectral domain is shown. An algorithm with polynomial complexity to compute an approximate model is given.
Year
DOI
Venue
1991
10.1007/BF02551265
MCSS
Keywords
Field
DocType
Model reduction, Stochastic realization, L2-approximation, Restricted shift
Mathematical optimization,Markov process,Linear subspace,Equivalence (measure theory),Stochastic modelling,Polynomial complexity,Realization (systems),State space,Mathematics
Journal
Volume
Issue
ISSN
4
2
1435-568X
Citations 
PageRank 
References 
0
0.34
1
Authors
1
Name
Order
Citations
PageRank
Andrea Gombani188.11