Stabilisation of discrete 2D time switching systems by state feedback control

Abstract

This article deals with sufficient conditions of asymptotic stability for discrete two-dimensional (2D) time switching systems represented by a model of Roesser type with state feedback control. This class of systems can correspond to 2D state space or 2D time space switching systems. This work is based on common and multiple Lyapunov functions. The results are presented in LMI form. Two examples are given to illustrate the results.

Keywords:

• switching systems
• 2D time systems
• Roesser model
• stabilisability
• multiple Lyapunov functions
• LMIs

Acknowledgment

This work was funded by the ‘Convocatoria de Ayudas para la estancia de investigadores, resulto con 7-05-2008’ of Spain, AECI project A/7882/07 and CICYT project DPI2007-66718-C04-02.