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BAŠTINEC, J. MENCÁKOVÁ, K.
Originální název
Stability of linear discrete systems with constant coefficients and single delay
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay x {k+1}=Ax( k)+Bx {k-m}, k=0,1, ..., where A, B are square constant matrices and m is natural. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.
Klíčová slova
Stability; Lyapunov function; delay; discrete system; matrix equation.
Autoři
BAŠTINEC, J.; MENCÁKOVÁ, K.
Vydáno
8. 6. 2016
Nakladatel
University of Bialystok, Poland
Místo
Bialystok, Poland
ISBN
978-83-7431-478-7
Kniha
7th Podlasie Conference on Mathematics
Strany od
25
Strany do
26
Strany počet
2
BibTex
@inproceedings{BUT125920, author="Jaromír {Baštinec} and Kristýna {Mencáková}", title="Stability of linear discrete systems with constant coefficients and single delay", booktitle="7th Podlasie Conference on Mathematics", year="2016", pages="25--26", publisher="University of Bialystok, Poland", address="Bialystok, Poland", isbn="978-83-7431-478-7" }