Applications of Volterra-System Analysis

Edward Bedrosian, Susan Rice

Expert InsightsPublished 1972

There are many nonlinear systems of interest that have outputs that depend on the past of the input rather than on its current value, and when they can be represented by Volterra series, such systems are known as Volterra systems. It is assumed here that the system equations can be written, and methods, with examples, are presented to show how the Volterra series, representative of the system, can be obtained. Results indicate how the analytical problem can be simplified, to some extent, by separating the representation and computation problems. The former, without reference to specific inputs, is concerned solely with finding the Volterra-series representation suitable to a particular problem. The latter, without reference to particular systems, is concerned solely with determining the properties of the output for specific inputs.

Document Details

Citation

Chicago Manual of Style

Bedrosian, Edward and Susan Rice, Applications of Volterra-System Analysis. Santa Monica, CA: RAND Corporation, 1972. https://www.rand.org/pubs/papers/P4800.html.
BibTeX RIS

This publication is part of the RAND paper series. The paper series was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

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 www.rand.org/pubs/permissions.

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.