A Method for the Determination of a Differential Equation Model for Simple Nonlinear Systems
- 1 August 1963
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Electronic Computers
- Vol. EC-12 (4), 394-400
- https://doi.org/10.1109/PGEC.1963.263471
Abstract
A method is described for the establishment of a nonlinear differential equation which acts as a model for an actual physical system. It is assumed initially that the actual system contains only a single nonlinear element and that this element may be represented in the differential equation model by a single-valued nonlinear function of a single variable. The method is then extended to systems which contain several nonlinear elements. It is assumed that the system may be excited by a specified periodic input and that neither the input nor the output of the system is significantly corrupted by noise. An experimental criterion is given for the range of periodic inputs which permit satisfactory determination of the differential equation model.Keywords
This publication has 2 references indexed in Scilit:
- Transfer-function synthesis with computer amplifiers and passive networksPublished by Association for Computing Machinery (ACM) ,1955
- The synthesis of "optimum" transient response: Criteria and standard formsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1953