Detail publikace

Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay

Originální název

Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay

Anglický název

Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay

Jazyk

en

Originální abstrakt

The paper is concerned with linear systems 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 ∈ N. Exponential-type estimates for solutions are derived by the method of Lyapunov functions. Results are illustrated by examples.

Anglický abstrakt

The paper is concerned with linear systems 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 ∈ N. Exponential-type estimates for solutions are derived by the method of Lyapunov functions. Results are illustrated by examples.

BibTex


@inproceedings{BUT158624,
  author="Josef {Diblík} and Miroslava {Růžičková} and Gabriela {Vážanová}",
  title="Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay",
  annote="The paper is concerned with linear systems 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 ∈ N.  Exponential-type estimates for solutions are derived by the method of Lyapunov functions. Results are illustrated by examples.",
  address="AIP",
  booktitle="AIP Conference Proceedings 2116",
  chapter="158624",
  doi="10.1063/1.5114309",
  howpublished="electronic, physical medium",
  institution="AIP",
  number="1",
  year="2019",
  month="july",
  pages="310002-1--310002-4",
  publisher="AIP",
  type="conference paper"
}