Transfer functions for nonlinear systems via Fourier-Borel transforms

Author

Can, Siimer ; Ünal, Aynur

Author_Institution

Dept. of Mech. Eng., Santa Clara Univ., CA, USA

fYear

1988

fDate

7-9 June 1988

Firstpage

2445

Abstract

It is demonstrated that the general response of nonlinear dynamical systems can be expressed in terms of their transfer functions in an analogous way to the linear systems. The transfer functions are defined as the generalized series for the response of the nonlinear dynamical system which is initially at rest and which is loaded by a unit step function. These transfer functions are obtainable through symbolic computer algebra.<>

Keywords

Fourier transforms; control system analysis; control system synthesis; nonlinear control systems; nonlinear network analysis; nonlinear network synthesis; transfer functions; Fourier-Borel transforms; generalized series; nonlinear systems; symbolic computer algebra; transfer functions; unit step function; Aerodynamics; Algebra; Computer languages; Fourier series; Fourier transforms; Frequency response; Laplace equations; Mechanical engineering; Nonlinear systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1988., IEEE International Symposium on

Conference_Location

Espoo, Finland

Type

conf

DOI

10.1109/ISCAS.1988.15437

Filename

15437

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2569823