<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.</p></abstract>

It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.

Independence of Asymptotic Stability of Positive 2D Linear Systems with Delays of Their Delays

Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok

International Journal of Applied Mathematics and Computer Science

It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only...

Independence of Asymptotic Stability of Positive 2D Linear Systems with Delays of Their Delays

Published Online: Jul 08, 2009

Page range: 255 - 261

DOI: https://doi.org/10.2478/v10006-009-0021-7

Keywords
2D systems, systems with delays, asymptotic stability, positive systems

This content is open access.

Independence of Asymptotic Stability of Positive 2D Linear Systems with Delays of Their Delays

Published Online: Jul 08, 2009

Page range: 255 - 261

DOI: https://doi.org/10.2478/v10006-009-0021-7

Keywords2D systems, systems with delays, asymptotic stability, positive systems

This content is open access.

Keywords
2D systems, systems with delays, asymptotic stability, positive systems