TY - GEN
T1 - The Magnus expansion for periodic delay differential equations
AU - Takács, Árpád
AU - Butcher, Eric A.
AU - Insperger, Tamás
PY - 2013
Y1 - 2013
N2 - In this paper, the application of the Magnus expansion on periodic time-delayed differential equations is proposed, where an approximation technique of Chebyshev Spectral Continuous Time Approximation (CSCTA) is first used to convert a system of delayed differential equations (DDEs) into a system of ordinary differential equations (ODEs), whose solution are then obtained via the Magnus expansion. The stability and time response of this approach are investigated on two examples and compared with known results in the literature.
AB - In this paper, the application of the Magnus expansion on periodic time-delayed differential equations is proposed, where an approximation technique of Chebyshev Spectral Continuous Time Approximation (CSCTA) is first used to convert a system of delayed differential equations (DDEs) into a system of ordinary differential equations (ODEs), whose solution are then obtained via the Magnus expansion. The stability and time response of this approach are investigated on two examples and compared with known results in the literature.
UR - http://www.scopus.com/inward/record.url?scp=84896982728&partnerID=8YFLogxK
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U2 - 10.1115/DETC2013-12304
DO - 10.1115/DETC2013-12304
M3 - Conference contribution
AN - SCOPUS:84896982728
SN - 9780791855973
T3 - Proceedings of the ASME Design Engineering Technical Conference
BT - 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
PB - American Society of Mechanical Engineers
T2 - ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2013
Y2 - 4 August 2013 through 7 August 2013
ER -