Title :
An algorithm for decomposing a two-dimensional nonlinear vector field
Author :
Leigh, J.R. ; Ng, M.H.
Author_Institution :
Polytechnic of Central London, London, England
fDate :
2/1/1980 12:00:00 AM
Abstract :
This paper describes an algorithm for the decomposition of a second-order nonlinear differential equation into a gradient system and a conservative system. The method is restricted to polynomial-type nonlinearities. The paper broadens the class of systems that can be analyzed by the decomposition method of Evans to which references are given.
Keywords :
Nonlinear systems, continuous-time; Differential equations; Hydrogen; Matrix decomposition; Nonlinear equations; Nonlinear systems; Packaging; Polynomials; Stability; Symmetric matrices;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1980.1102251
