An LMI approach to compute robust stability domains for uncertain linear systems

A simple and constructive way to establish maximum robust stability domains for continuous-time uncertain linear systems with convex bounded uncertainties is proposed in,this paper. The results are based on sufficient conditions formulated in terms of linear matrix inequalities, which provide a parameter dependent Lyapunov function that assures the stability of any matrix inside the uncertainty domain. The numerical procedures are entirely based on unidimensional search and linear matrix inequalities feasibility tests