| Rafaj/lowicz E. Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4(4):349--361, 1978. |
....number of papers but goals of identification or estimation were different. In particular, the reader may wish to This research was supported by Council for Scientific Research compare sensors allocations considered here and those obtained for DPS 1. eigenvalues and or parameter identification [9], 10] 16] 20] 18] 19] 2. state estimation [11] 5] 1] The main difference between this paper and the earlier approaches is in the goal of sensors allocation, which in turn, influences their optimal positions. We remark that also choice of moving sensors trajectories have been ....
Rafaj/lowicz E. Design of experiments for eigenvalue identification in distributedparameter systems. Int. J. Control, 34:1079-- 1094, 1981.
....eigenvalues (natural frequencies) When eigenvalues are identified then LSM is applied again for estimating parameters, which usually have the interpretation of material constants. It should be noticed that the approach to DPS identification based on eigenvalues estimation has been considered in [12], 1] from an experiment design point of view and in [8] 9] where identifiability problem are discussed. It seems that the problem of input signal design is of particular importance in a framework of the identification method proposed in this paper. In particular, it is not clear, which ....
....then v k (x) k = 1; 2; do not depend on a 2 R r . Furthermore, in this case we have k (a) ff T k Delta a ff vk ; k = 1; 2; 16) as it can be seen from (11) 14) 15) where ff k = ff 1k ; ff 2k ; ff rk ] T , k = 1; 2; A converse statement also holds [12] but it will not be needed here. The above (16) facts are assumed to hold in the rest of this paper. Together with (10) 13) they imply that the solution of (10) denoted as w(x; a) x 2 Omega to stress the dependence on a, is given by w(x; a) 1 X k=1 1 k (a) Delta hu; v k i Delta v ....
Rafaj/lowicz E. Design of experiments for eigenvalue identification in the static distributed systems. Systems Science, 4(4):349--361, 1978.
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