Detail publikace

STABILITY AND EXPONENTIAL STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY

Originální název

STABILITY AND EXPONENTIAL STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY

Anglický název

STABILITY AND EXPONENTIAL STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY

Jazyk

en

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 \begin{equation*} x\left( {k+1} \right)=Ax\left( k \right)+Bx\left( {k-m} \right), \quad k=0,1,\dots \end{equation*} where $A$, $B$ are square constant matrices and $m\in\mathbb{N}$. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.

Anglický 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 \begin{equation*} x\left( {k+1} \right)=Ax\left( k \right)+Bx\left( {k-m} \right), \quad k=0,1,\dots \end{equation*} where $A$, $B$ are square constant matrices and $m\in\mathbb{N}$. Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.

BibTex


@article{BUT116952,
  author="Josef {Diblík} and Denys {Khusainov} and Jaromír {Baštinec} and Andrii {Sirenko}",
  title="STABILITY AND EXPONENTIAL  STABILITY OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND SINGLE DELAY",
  annote="The  paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay
\begin{equation*}
x\left( {k+1} \right)=Ax\left( k \right)+Bx\left( {k-m} \right),
\quad k=0,1,\dots
\end{equation*}
where $A$, $B$ are square constant matrices and $m\in\mathbb{N}$. Sufficient conditions for exponential stability
are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples.",
  address="Elsevier",
  chapter="116952",
  doi="10.1016/j.amc.2015.07.037",
  howpublished="print",
  institution="Elsevier",
  number="1",
  volume="269",
  year="2015",
  month="august",
  pages="9--16",
  publisher="Elsevier",
  type="journal article in Web of Science"
}