MR3221840
Jan ČERMÁK and Petr TOMÁŠEK
Jan ČERMÁK and Petr TOMÁŠEK
On Delay-Dependent Stability Conditions for a Three-Term Linear Difference Equation
Funkcialaj Ekvacioj. Serio Internacia
57
2014
91--106
http://fe.math.kobe-u.ac.jp/FE/FullPapers/57-1/57_91.pdf
http://www.ams.org/mathscinet-getitem?mr=MR3221840
We present a new type of necessary and sufficient conditions for asymptotic stability of a three-term linear delay difference equation. The derived conditions are quite explicit and involve, among others, a~critical value of the delay, when the studied equation loses its asymptotic stability property.
Higher order linear difference equation, Asymptotic stability, Stability switch.
39A30, 39A06.
57-91
2014
On Delay-Dependent Stability Conditions for a Three-Term Linear Difference Equation
Jan ČERMÁK and Petr TOMÁŠEK
Jan ČERMÁK and Petr TOMÁŠEK
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