Less conservative D-stability test for polytopic systems using linearly parameter-dependent Lyapunov functions

Abstract

The robust D-stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result. © © The Institution of Engineering and Technology 2006.