Stability robustness analysis of uncertain descriptor systems - an LMI approach

Using the technique of linear matrix inequalities (LMIs) and a parameter-dependent matrix, new sufficient conditions for stability robustness of uncertain descriptor systems axe provided. The considered systems are very general, in which uncertainties appear in both the state matrix and the derivative state matrix (or the advanced state matrix). Since the conditions axe expressed in terms of LMIs involving only the vertices of polytope domain, it is computationally simple to determine the robust stability of uncertain descriptor systems.