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.
Bedrosian, Edward and Susan Rice, Applications of Volterra-System Analysis. Santa Monica, CA: RAND Corporation, 1972. https://www.rand.org/pubs/papers/P4800.html. Also available in print form.
Bedrosian, Edward and Susan Rice, Applications of Volterra-System Analysis, Santa Monica, Calif.: RAND Corporation, P-4800, 1972. As of October 06, 2021: https://www.rand.org/pubs/papers/P4800.html