By A. V. Balakrishnan (auth.), Prof. Dr. G. I. Marchuk (eds.)
Read Online or Download Optimization Techniques IFIP Technical Conference: Novosibirsk, July 1–7, 1974 PDF
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Additional info for Optimization Techniques IFIP Technical Conference: Novosibirsk, July 1–7, 1974
Sample text
L, ••• ,150, ) =50, N:3. Ba&ed on these observations tne plant operator was estimated in accordance with the formula (8). I - curve 1) and the plant response was calculated in accordance with the ordinary differential equations theory (curve-2) as well as with the non-parametric estimate of the system response (curve-3). -0,05 s a b . -0,05 Fig. l correspond to the plant simulators of 1, 2 and 3rd order, S is discre~~ time. hOWS the changes of quadratic mean error (],. r (q(ti)-q~(tiJ,l, )II )11 -50 depending on At.
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A triple (H, F, G) satisfying (13) is called an additive of r. It is said minimal if the 'dimension of F is minimal among all such realizations. F being, by hypothesis, asymptotically stable, the additive decomposition of r is unique, with the first term constant, the second realizable and the third antirealizable. Then, it follows from classical realization theory [ 6 J that all minimal realizations are identical up to a change of basis in the state space. The result on which the new algorithm is based is the following re~lizatton THEOREM.