Title :
New scheme for symbolic computation of Monodromy matrix
Author :
Moreno, Luis ; Collado, Joaquin
Author_Institution :
CINVESTAV-DCA, Mexico City, Mexico
Abstract :
A new scheme based on the Taylor´s method for ODEs is used to compute the symbolic monodromy matrix of linear periodic systems in function of their parameters. Using the symbolic Monodromy matrix in terms of the parameters we are able to find the stability chart of parametric excited systems which gives the boundaries between stable and unstable regions.
Keywords :
linear systems; matrix algebra; stability; ODE; linear periodic systems; parametric excited systems; stability chart; symbolic computation; symbolic monodromy matrix; unstable regions; Approximation algorithms; Approximation methods; Eigenvalues and eigenfunctions; Mathematical model; Polynomials; Stability analysis; Arnold´s Tongues; monodromy matrix; parametric resonance;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
