We present a theory of stochastic modeling for stationary discrete-time processes in terms of general acausal realizations which involve a possibly unstable A matrix. This leads to a unified derivation of many known results on spectral factorization, Linear Matrix Inequalities and the Riccati inequality/equation in a coherent framework.

A Complete LMI/Riccati Theory from Stochastic Modeling

FERRANTE, AUGUSTO;PICCI, GIORGIO
2014

Abstract

We present a theory of stochastic modeling for stationary discrete-time processes in terms of general acausal realizations which involve a possibly unstable A matrix. This leads to a unified derivation of many known results on spectral factorization, Linear Matrix Inequalities and the Riccati inequality/equation in a coherent framework.
2014
Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS)
9789036763219
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2927099
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