International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2007
Volume 17 - 2007

The choice of the forms of Lyapunov functions for a positive 2D Roesser model

Tadeusz Kaczorek

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 P A − P is negative definite. The theoretical deliberations will be illustrated by numerical examples.

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

DOI
10.2478/v10006-007-0039-7