The author continues an investigation (begun in Proceedings of 25th conf. on decision and control, IEEE, New York, p.1643-5, 1986) into the connection between identification (inverse) problems and dynamical systems. Cost and energy functions related to coefficient identification algorithms are considered. Two types of energy functions are considered: equation error and output error. They are studied in connection with the discretizing of some first-order linear hyperbolic equations. Some properties of the identification algorithms which minimize the considered functions are also presented.
Crosta, G. (1987). The energy functions of coefficient identification problems. In W.S. Levine, J. Bailleuil, P. Bernhard, R.B. [...] Washburn, W.S. Wong (a cura di), Proceedings of the 26th IEEE Conference on Decision and Control (pp. 1916-1920). Piscataway, NJ : IEEE [10.1109/CDC.1987.272848].
The energy functions of coefficient identification problems
CROSTA, GIOVANNI FRANCO FILIPPOPrimo
1987
Abstract
The author continues an investigation (begun in Proceedings of 25th conf. on decision and control, IEEE, New York, p.1643-5, 1986) into the connection between identification (inverse) problems and dynamical systems. Cost and energy functions related to coefficient identification algorithms are considered. Two types of energy functions are considered: equation error and output error. They are studied in connection with the discretizing of some first-order linear hyperbolic equations. Some properties of the identification algorithms which minimize the considered functions are also presented.
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