We consider the problem of giving an approximate Markovian representation for multivariate Gaussian processes. The result is a generalization of the Lindquist-Picci algorithm to derive a minimal stochastic realization from a nonminimal one. The properties of the invariant subspaces of a state space are exploited to produce an approximate model

On the multivariable approximate stochastic realization problem

A Gombani
1991

Abstract

We consider the problem of giving an approximate Markovian representation for multivariate Gaussian processes. The result is a generalization of the Lindquist-Picci algorithm to derive a minimal stochastic realization from a nonminimal one. The properties of the invariant subspaces of a state space are exploited to produce an approximate model
1991
Model reduction
stochastic realization
L2-approximation
restricted shift
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/202091
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