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SVOBODA, Z. DIBLÍK, J.
Original Title
Asymptotic Behavior of the Delayed Matrix Exponential Function
Type
conference paper
Language
English
Original Abstract
The paper discusses asymptotic behaviors of the delayed matrix exponential, delayed matrix sine and delayed matrix cosine. Such functions were defined in connection with a formalization of the step method for linear systems of differential equations with a constant delay r. The above matrix functions are defined by matrix polynomials on every interval [(k − 1)τ, kτ), where k = 0, 1, . . . and τ > 0. To investigate the asymptotic behavior of the delayed matrix functions, the main branch of the Lambert function is used.
Keywords
asymptotic behavior; delayed matrix exponential; delayed matrix sine; delayed matrix cosine; Lambert function
Authors
SVOBODA, Z.; DIBLÍK, J.
Released
21. 7. 2018
Publisher
American Institute of Physics
Location
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
ISBN
978-0-7354-1690-1
Book
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)
0094-243X
Periodical
AIP conference proceedings
State
United States of America
Pages from
430006-1
Pages to
430006-4
Pages count
4
URL
https://doi.org/10.1063/1.5044021