STABILITY AND STABILIZATION OF CONTINUOUS DESCRIPTOR SYSTEMS: AN LMI APPROACH

This paper deals with the problems of robust stability and stabilization for uncertain con-tinuous descriptor systems.We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular, and impulse-free). Based on this, the state-feedback admis-sibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results. Copyright © 2006 M. Chaabane et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1