Cover: Identification of linear systems via numerical inversion of Laplace transforms

Identification of linear systems via numerical inversion of Laplace transforms

Published 1964

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba

Purchase Print Copy

 Format Price
Add to Cart Paperback12 pages $20.00

A discussion of a fundamental problem in adaptive control; namely, that of identifying the parameters of a system on the basis of observations of a process which the system undergoes. The quasilinearization technique provides a general method for identifying linear systems based on the ability to invert Laplace transforms numerically. The method uses irregularly spaced observations and is extremely fast. Results of a test calculation for a second-order linear system are given.

This report is part of the RAND research memorandum series. The Research Memorandum was a product of RAND from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.