DocumentCode
695986
Title
New scheme for symbolic computation of Monodromy matrix
Author
Moreno, Luis ; Collado, Joaquin
Author_Institution
CINVESTAV-DCA, Mexico City, Mexico
fYear
2009
fDate
23-26 Aug. 2009
Firstpage
1389
Lastpage
1394
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2009 European
Conference_Location
Budapest
Print_ISBN
978-3-9524173-9-3
Type
conf
Filename
7074600
Link To Document