Detail publikace

Conditional Stability of Weakly Delayed Planar Linear Discrete Systems

Originální název

Conditional Stability of Weakly Delayed Planar Linear Discrete Systems

Anglický název

Conditional Stability of Weakly Delayed Planar Linear Discrete Systems

Jazyk

en

Originální abstrakt

The paper deals with discrete planar systems x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0 where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.

Anglický abstrakt

The paper deals with discrete planar systems x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0 where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.

BibTex


@inproceedings{BUT123370,
  author="Josef {Diblík} and Hana {Halfarová} and Jan {Šafařík}",
  title="Conditional Stability of Weakly Delayed Planar Linear Discrete Systems",
  annote="The paper deals with discrete planar systems
x(k + 1) = Ax(k) + \sum_{l=1}^{n}B^{l}x(k − m_{l}), k \geq 0
where m_{1}, m_{2}, . . . ,m_{n} are constant integer delays, 0 < m_{1} < m_{2} <...< m_{n}, A,B_{1}, ...,B_{n} are constant 2 × 2 matrices, A = (a_{ij}), B_{l} = (b_{ij}^{l}), i, j = 1, 2, l = 1, 2, . . . , n and x: {−m_{n},−m_{n} + 1, . . . } \rightarrow R^{2}. New results related with what is called conditional stability and asymptotic conditional stability are derived.",
  address="WSEAS Press",
  booktitle="Recent Advances in Mathematical and Computational Methods",
  chapter="123370",
  edition="Mathematics and Computers in Science in Science and Engineering Series | 44",
  howpublished="print",
  institution="WSEAS Press",
  year="2015",
  month="april",
  pages="111--117",
  publisher="WSEAS Press",
  type="conference paper"
}