Comparison of zeroth- and first-order semi-discretizations for the delayed Mathieu equation

Author

Insperger, Tamas ; Stepan, Gabor ; Turi, Janos

Author_Institution

Dept. of Appl. Mech., Budapest Univ. of Technol. & Econ., Hungary

Volume

3

fYear

2004

fDate

14-17 Dec. 2004

Firstpage

2625

Abstract

Semi-discretization method is applied to construct stability charts for periodic delay-differential equations. Zeroth-, improved zeroth- and first-order methods are used to construct approximate finite dimensional Floquet transition matrices for the delayed Mathieu equation and stability charts are determined. Since the stability boundaries of the delayed Mathieu equation are known in closed form, the convergence of different order approximations can be studied by computer simulations. Stability boundaries and computation times obtained by different time steps and different orders are compared.

Keywords

delay-differential systems; linear systems; matrix algebra; periodic control; stability; approximate finite dimensional Floquet transition matrices; delayed Mathieu equation; first-order semi-discretizations; periodic delay-differential equations; stability boundaries; stability charts; Computational modeling; Computer simulation; Control design; Control systems; Convergence; Delay effects; Delay systems; Differential equations; Stability; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428855

Filename

1428855