Abstract

Approximate system inverses are constructed in terms of truncated Laguerre series for lumped and distributed parameter systems. Two examples are presented: in the first, the approximate inverse of a scalar lumped system is compared to an approximate inverse obtained from the classical von Neumann series for the inverse; in the second, a system with a delay is inverted and compared to the von Neumann inverse. In both cases, the Laguerre approximate inverse was far superior.

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