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Download e-book for iPad: Advances in Nuclear Science and Technology, Volume 23 by Jeffery Lewins, Martin Becker

By Jeffery Lewins, Martin Becker

ISBN-10: 0306451840

ISBN-13: 9780306451843

ISBN-10: 0306478102

ISBN-13: 9780306478109

Quantity 23 specializes in perturbation Monte Carlo, non-linear kinetics, and the move of radioactive fluids in rocks.

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Extra resources for Advances in Nuclear Science and Technology, Volume 23

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24) , we have and then an ARMA model via Eq. (23) is the same as Eq. (21). The details have been reported in papers [34,39]. Hence, the formalism developed in Section II can be applied to the analysis of power reactors with complicated reactions from the viewpoint of contraction of information. IV. APPLICATION TO AR MODEL ANALYSIS When a system is characterized by an AR (autoregressive) process, the method of AR model analysis is a powerful tool, since there are useful recursion algorithms for efficient computations [40,41] and popular information criterions such as FPE, AIC, and MDL [42-44].

From Eq. (11) and the above relations (19) and (20), we easily have Inversely, we can have the relations (19) and (20) from Eq. (21). As mentioned above, whether transformation formula (10) and (11) can be used or not is important for identifiability of both open loop transfer function matrices and Such a condition is satisfied in the case where P is a block diagonal matrix. We will examine such conditions. 2 Minimum Phase Feedback Systems Substituting a matrix into the algebraic Riccati equation (13), we can easily understand that is a particular solution, since HG is nonsingular.

Under the condition, we can obtain the original open loop transfer function matrices from of a numerical innovation model by using the transformation formula (10): After matrix calculations of closed loop transfer function matrix and from according to 44 Eq. K. KISHIDA (10), we have where and are suitable matrices. This means that and are not determined from a numerical innovation model in principle. We should pay attention to these ambiguities in the system identification of open loop transfer functions.

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Advances in Nuclear Science and Technology, Volume 23 by Jeffery Lewins, Martin Becker

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