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On the evaluation of the response of nonlinear systems by functional series expansion of forced and free responses

โœ Scribed by G. Marchesini; G. Picci

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
777 KB
Volume
288
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

Two basic series expansions are considered which provide the forced response (zero initial conditions) and the free response (zero input) of nonlinear analytic systems. The whole response is expressed aa the cum of a "jree respome" and of a term which my be computed directly from a "forced response". Furthermore, it is show-n that both the kernels appearing in the series expansion of this term and the kernels characterizing the free response are directly related to the kernels of the forced response starting from zero initial conditions.

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โœ Ralph Iwens ๐Ÿ“‚ Article ๐Ÿ“… 1968 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 646 KB

It is shown how a frequency domain criterion can be used to obtain meaningful bounds on the responses of nonlinearfeedbac7~ systems. If the system is rlisturbed by a known input or ?zonsm~ initial condition from its state of equilibrium, bounds are obtained on ouer shoot and settling time as the sys