Stability analysis for uncertain linear systems

In this paper, we deal with the problem of robust stability analysis of linear systems with real parametric uncertainty. The new conditions for the robust stability are given in terms of linear matrix inequalities (LMIs) based on parameter-dependent Lyapunov function approach. Firstly, we describe the model of the uncertain linear system and the relative robust stability problem. Then, using two lemmata we prove the new sufficient criteria for the robust stability based on LMIs. And the resulting stability criterion is less conservative than before.