Abstract
In this paper for the continuous-time system the least squares identification is defined and its consistency is proved. Its discrete-time analog is also demonstrated and our result is compared with the well-known ones. It is also shown that the discrete least squares estimate based on the sampled data of the continuous-time system here considered is in general not consistent.
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Anderson, T.W. and J.B. Taylor, Ann. Statistics, 4, 1976, 788.
Chen Xi-Ru, Scientia Sinica, Special Issue (II) on Mathematics, 1979, 162–176.
Lai T.L., H. Robbins and C.Z. Wei, Proc.Natl.Acad.Sci.USA Vol.75, No.7,1978,3034–3036.
Box,G.F. and G.M. Jenkins, Time series Analysis, Forecasting and Control, 1970, San Francisco, Holden Day.
Graupe, D and E. Fogel, Int. J. of Systems Science, Vol.9,No.5, 563–567.
Ljung, L. IEEE Trans. AC-21, No.5,1976,779–781.
Moore, J.B. Automatica, Vol.14,No.5,1978,505–509.
Balakrishnan, A.V. Stochastic Differential Systems, Lecture Notes in Economics and Mathematical Systems, Berlin, Springer-Verlag,1973.
Днпцер, Р.Щ.н А.Н.Щнряев, Статистика случайных процессов,Наука,1974.
Le Breton,A.Trans.of the seventh Prague Conference and of the 1974 European Meeting of Statisticians, Vol.A. Academia Publ. House of the Czechoslovak Acad.Sc.,1977,353–366.
Chen Han-Fu, Automatica, Vol.16,No.2,1980,179–190.
Chen Han-Fu, Scientia Sinica, Vol.22,No.6,1979,615–627.
Chen Han-Fu, Scientia Sinica, Special Issue (II) on Mathematics, 1979,281–293.
Стратанович, Р.Л. Условные ыарковские процессы и их приыенение к теории оцтиыалього управлеыния, 1966, Изд.Московского университета.
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Chen, H.F. (1980). Least squares identification for continuous-time systems. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004047
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DOI: https://doi.org/10.1007/BFb0004047
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