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Practical realizations in process modeling: Part II. The approximation problem
Author(s) -
Jayaraman Krishnamurthy,
Lapidus Leon
Publication year - 1976
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690220213
Subject(s) - impulse response , salient , impulse (physics) , moment (physics) , mathematics , algorithm , pulse (music) , transient (computer programming) , transient response , process (computing) , zeroth law of thermodynamics , construct (python library) , mathematical optimization , computer science , mathematical analysis , physics , engineering , telecommunications , classical mechanics , quantum mechanics , artificial intelligence , detector , electrical engineering , programming language , operating system
The composite algorithm derived in Part I is used to construct models from pulse responses of lumped and distributed systems, as well as an empirically measured residence time density. Along the way, salient points in the numerical implementation of the algorithm are indicated. In the present recursive procedure, the initial transient is predicted accurately by lower‐order partial realizations; successive partial realizations involve progressively longer tails of the pulse response. The zeroth moment of the impulse response is used to advantage when realizations with no zeros are appropriate.