Detail publikace

Exponential Stability of Linear Discrete Systems with Multiple Delays

DIBLÍK, J. DEMCHENKO, H. BAŠTINEC, J. KHUSAINOV, D.

Originální název

Exponential Stability of Linear Discrete Systems with Multiple Delays

Typ

článek v časopise ve Web of Science, Jimp

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 $x\left( {k+1} \right)=Ax\left( k \right)+\sum_{i=1}^sB_ix\left( {k-m_i} \right)$, $k=0,1,\dots$ where $s\in \mathbb{N}$, $A$ and $B_i$ are square matrices and $m_i\in\mathbb{N}$. New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.

Klíčová slova

exponential stability; exponential estimate; discrete system; Lyapunov method

Autoři

DIBLÍK, J.; DEMCHENKO, H.; BAŠTINEC, J.; KHUSAINOV, D.

Vydáno

1. 8. 2018

Nakladatel

Hindawi

Místo

Spojené Státy Americké

ISSN

1607-887X

Periodikum

Discrete Dynamics in Nature and Society

Ročník

2018

Číslo

2018

Stát

Spojené státy americké

Strany od

1

Strany do

7

Strany počet

7

URL

http://dx.doi.org/10.1155/2018/9703919

Plný text v Digitální knihovně

http://hdl.handle.net/11012/193263

BibTex

@article{BUT149025,
  author="Jaromír {Baštinec} and Hanna {Demchenko} and Josef {Diblík} and Denys {Khusainov}",
  title="Exponential Stability of Linear Discrete Systems with Multiple Delays",
  journal="Discrete Dynamics in Nature and Society",
  year="2018",
  volume="2018",
  number="2018",
  pages="1--7",
  doi="10.1155/2018/9703919",
  issn="1607-887X",
  url="http://dx.doi.org/10.1155/2018/9703919"
}