On exponential stability of a class of descriptor continuous linear 2D Roesser models

Abstract

This article is dedicated to the exponential stability of a class of descriptor continuous Roesser 2D linear models. One of the two dimensions is privileged so that the exponential stability must be mainly understood as the vanishing propagation of the state vector along that dimension. This stability is analysed through a tractable test based upon Linear Matrix Inequalities (LMI).

Keywords:

• Exponential stability
• 2D continuous Roesser models
• LMI

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the MIRES federation (fédération MIRES – Mathématiques & leurs Interactions, Images & information numérique, Réseaux et Sécurité).