Title :
Systems with generalised Riccati-Bernoulli nonlinearities
Author_Institution :
Computer Sciences Corporation, Huntsville, USA
Abstract :
1st-order nonlinear systems described by a generalised form of Riccati-Bernoulli ordinary differential equations are shown to be reducible to equivalent linear systems of higher order through a nonlinear differential transformation. The method is generalised further to cover systems governed by partial differential equations with Riccati-Bernoulli-type nonlinearities.
Keywords :
differential equations; linearisation techniques; nonlinear systems; system theory;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19690508