Four methods are proposed for estimating the dominant time constant and dead time of a given process from a knowledge of its moments, s-plane, frequency or transient response data. The methods are faster and simpler and, in terms of accuracy and reliabiltiy, are comparable to the time domain least squares procedure for parameter estimation. Applications of the methods are illustrated with the aid of a dispersion model. A comparison is also made with other known techaiques to demonstTate the superiority of the suggested methods.n recent years a number of parameter estimation
If B is a real Banach space and x, ye B, then x is said to be orthogonal to y (x ± y) if ||x+Ay||_||x|| for all real numbers A. A function F: B-*E, where £ is a topological vector space, is said to be additive if it is continuous and F(x+y) = F(x)+F(y) whenever x J_ y. The purpose of the present paper is to characterize additive functions.
This paper contains a complete solution to the problem of the higher order differentiability of the norm function in the Lebesgue-Bochner function spaces L (E,y>) , 1 <1 p <. oo , where E is a real Banach and p-is an extended real-valued measure defined on the measurable space (T,£).
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