Summary
Based on the theory of Gauss Markov representation established by Faurre [4], and on a new theorem about the inverse of the spectrum of the signal process, a new algorithm is proposed, using frequency methods, but which does not appeal to classical spectral factorization, nor to any algebraic Riccati equation.
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Bibliography
P. Bernhard et G. Cohen: “Etude d’une fonction frequentielle Intervenant en commande optimale avec une application à la réduction de la taille de ce problème”. R.A.I.R.O, yellow series, J-2., 1973.
P. Bernhard et al. “Same title as this paper”. Internal report A/54 of Centre d’Automatique de l’ENSMP, Fontainebleau, France 1974.
P. Faurre et Chataigner: “Identification en temps réel et en temps différé par factorisation de matrices de Hankel” proceeding, French-Swedish symposium on process control, IRIA, 1971.
P. Faurre: “Representation markovienne de processus aléatoires”. IRIA report n° 13, IRIA, France, 1973.
B. L. Ho, R E. Kaiman: “Effective construction of linear state variable models from input/output functions”. Proc. 3rd Allerton Conference, PP 449–459, 1965.
R.E. Kaiman. “Modern theory of realization” in Kaiman, FALB and ARBIB : Topics in Mathematical System Theory (Chapt 10). McGraw Hill, 1969.
Mehra: “On the Identification of variances and adaptive Kaiman filtering”. IEEE transactions on A.C., AC-15, n° 2, pp 175–184, 1970.
J.C. Willems: “Least squares stationary optimal control and the algebraic Riccati equation”, IEEE transactions on A.C., AC-16, pp 621–634, 1971.
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© 1975 Springer-Verlag Berlin Heidelberg
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Bernhard, P., Benveniste, A., Cohen, G., Chatelon, J. (1975). A New Algorithm for Gauss Markov Identification. In: Marchuk, G.I. (eds) Optimization Techniques IFIP Technical Conference. Lecture Notes in Computer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-38527-2_4
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DOI: https://doi.org/10.1007/978-3-662-38527-2_4
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