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

International Journal of Applied Mathematics and Computer Science

Volume 17 (2007): Issue 4 (December 2007)

By: Tadeusz Kaczorek

Open Access

|Jan 2008

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 A^T PA - P is negative definite. The theoretical deliberations will be illustrated by numerical examples.

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Articles in this issue

DOI: https://doi.org/10.2478/v10006-007-0039-7 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 471 - 475

Published on: Jan 7, 2008

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Lyapunov function,

positive 2D Roesser model,

asymptotic stability

Related subjects:

Applied mathematics

© 2008 Tadeusz Kaczorek, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 17 (2007): Issue 4 (December 2007)