By Lewins J. D. (Ed.), Becker M.
The insurance during this sequence levels from the experimental to the theoretical, supplying whatever for all readers devoted to the secure and necessary improvement of nuclear strength and its linked applied sciences.
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KISHIDA vation is used for the equivalent representation of noise forces in the Gaussian process: Hence, the derivation from Eq. (14) to an ARMA model can be expressed by the projection of variables to past observable time series data, Y(n-1): Taking the conditional average of Eq. 2). The third term, is also expressed equivalently by the innovation The detailed derivation is reported by Kishida and Sasakawa . Squaring and taking the ensemble average after equating both right hand sides of Eqs.
2 Nonminimum Phase Systems Suppose that one zero, is inside the unit circle then stable eigenvalues of Eq. 3. Solving the symplectic form, we have a set of 4 eigenvectors: where CONTRACTION OF INFORMATION AND ITS INVERSE PROBLEM 49 Here the first column of Eq. (32) is different from that of Eq. (31), because is not a stable eigenvalue. In this case, we have a particular solution, That is, where Since we have we can calculate K: where From the closed loop transfer function matrix of the numerical innovation model, we have an equivalent 5-block feedback system described by where Using transformation formula (10), we can have the feedback loop transfer function, but we cannot identify the zero-power transfer function, due to the appearance of an additional loop 50 K.
3) in Appendix C are 0, 0, and By using stable eigenvalues, a corresponding innovation model can be determined from a particular solution of the symplectic form of the Riccati equation in Appendix C as in the two following cases. 1 Minimum Phase Systems Since the reactor is a minimum phase system, then stable eigenvalues of Eq. 3) in the example are inverse numbers of system zeros, 0, 0, and since system zeros and are outside the unit circle. It should be noted that the zero-power transfer function is subcritical under the condition, since Solving the 48 K.