Some problems of system identification
Jaromír Štěpán (1971)
Kybernetika
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Jaromír Štěpán (1971)
Kybernetika
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G. Salut, J. Aguilar-Martín, S. Lefevre (1979)
Stochastica
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In this paper a complete presentation is given of a new canonical representation of multi-input, multi-output linear stochastic systems. Its equivalence with operator form directly linked with ARMA processes as well as with classical state space representation is given, and a transfer matrix interpretation is developed in an example. The importance of the new representation is mainly in the fact that in the joint state and parameters estimation problem, all unknown parameters appear...
Abutaleb, Ahmed S., Waheed, M.El-Sayed, Elhamy, Nermeen M. (2010)
Mathematical Problems in Engineering
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Jiří Krýže, A. Krýžová, Roman Mikoláš, M. Salaba (1966)
Kybernetika
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Salim Ibrir, Sette Diop (2004)
International Journal of Applied Mathematics and Computer Science
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In this paper, we propose a numerical algorithm for filtering and robust signal differentiation. The numerical procedure is based on the solution of a simplified linear optimization problem. A compromise between smoothing and fidelity with respect to the measurable data is achieved by the computation of an optimal regularization parameter that minimizes the Generalized Cross Validation criterion (GCV). Simulation results are given to highlight the effectiveness of the proposed procedure. ...
Cari, Elmer P.T., Theodoro, Edson A.R., Mijolaro, Ana P., Bretas, Newton G., Alberto, Luis F.C. (2009)
Mathematical Problems in Engineering
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Andreas Rauh, Saif S. Butt, Harald Aschemann (2013)
International Journal of Applied Mathematics and Computer Science
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The focus of this paper is to develop reliable observer and filtering techniques for finite-dimensional battery models that adequately describe the charging and discharging behaviors. For this purpose, an experimentally validated battery model taken from the literature is extended by a mathematical description that represents parameter variations caused by aging. The corresponding disturbance models account for the fact that neither the state of charge, nor the above-mentioned parameter...