Delay-dependent stability conditions for fundamental characteristic functions
Archivum Mathematicum (2023)
- Issue: 1, page 77-84
- ISSN: 0044-8753
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topMatsunaga, Hideaki. "Delay-dependent stability conditions for fundamental characteristic functions." Archivum Mathematicum (2023): 77-84. <http://eudml.org/doc/298980>.
@article{Matsunaga2023,
abstract = {This paper is devoted to the investigation on the stability for two characteristic functions $f_1(z) = z^2+pe^\{-z\tau \}+q$ and $f_2(z) = z^2+pz e^\{-z\tau \}+q$, where $p$ and $q$ are real numbers and $\tau >0$. The obtained theorems describe the explicit stability dependence on the changing delay $\tau $. Our results are applied to some special cases of a linear differential system with delay in the diagonal terms and delay-dependent stability conditions are obtained.},
author = {Matsunaga, Hideaki},
journal = {Archivum Mathematicum},
keywords = {characteristic equation; delay; stability switch},
language = {eng},
number = {1},
pages = {77-84},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Delay-dependent stability conditions for fundamental characteristic functions},
url = {http://eudml.org/doc/298980},
year = {2023},
}
TY - JOUR
AU - Matsunaga, Hideaki
TI - Delay-dependent stability conditions for fundamental characteristic functions
JO - Archivum Mathematicum
PY - 2023
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
IS - 1
SP - 77
EP - 84
AB - This paper is devoted to the investigation on the stability for two characteristic functions $f_1(z) = z^2+pe^{-z\tau }+q$ and $f_2(z) = z^2+pz e^{-z\tau }+q$, where $p$ and $q$ are real numbers and $\tau >0$. The obtained theorems describe the explicit stability dependence on the changing delay $\tau $. Our results are applied to some special cases of a linear differential system with delay in the diagonal terms and delay-dependent stability conditions are obtained.
LA - eng
KW - characteristic equation; delay; stability switch
UR - http://eudml.org/doc/298980
ER -
References
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- Matsunaga, H., 10.1016/j.amc.2009.02.010, Appl. Math. Comput. 212 (2009), 145–152. (2009) MR2519266DOI10.1016/j.amc.2009.02.010
- Stépán, G., Retarded Dynamical Systems: Stability and Characteristic Functions, Longman Scientific & Technical, New York, 1989. (1989)
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