<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix <italic>P</italic> such that the matrix <italic>A<sup>T</sup> PA - P</italic> is negative definite. The theoretical deliberations will be illustrated by numerical examples.</p></abstract>

The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix P such that the matrix AT PA - P is negative definite. The theoretical deliberations will be illustrated by numerical examples.

The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model

Institute of Control and Industrial Electronics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model"}

The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i)...

The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model

Published Online: Jan 07, 2008

Page range: 471 - 475

DOI: https://doi.org/10.2478/v10006-007-0039-7

Keywords
Lyapunov function, positive 2D Roesser model, asymptotic stability

This content is open access.

The Choice of the Forms of Lyapunov Functions for a Positive 2D Roesser Model

Published Online: Jan 07, 2008

Page range: 471 - 475

DOI: https://doi.org/10.2478/v10006-007-0039-7

KeywordsLyapunov function, positive 2D Roesser model, asymptotic stability

This content is open access.

Keywords
Lyapunov function, positive 2D Roesser model, asymptotic stability