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Volterra-Wiener functionals for the analysis of nonlinear systems

✍ Scribed by Y.H. Ku; Alfred A. Wolf

Publisher: Elsevier Science
Year: 1966
Tongue: English
Weight: 945 KB
Volume: 281
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(66)90064-0

No coin nor oath required. For personal study only.

✦ Synopsis

This paper gives new results on the application of Volterra-Wienm functionals to the

analysis of nonlinear systems. Part I deals with the convergence properties of the Volterra-Wiener functional series both in the deterministic case and the stochastic case. Several theorem8 are presented with proofs. Part II deals with the determination of the kernels to satisfy the solution OT response of the given system described by an ordinary nonlinear diferential equation. Recurrence Telations for the Volterra kernel8 are developed. Part III gives the cascade theorem8 with proofs which agree with the result8 of George and Van Trees. A Table of Associated Transforms and the derivation of two particular pairs are appended.

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