An LMI condition for the robust stability of uncertain continuous-time linear systems

  title={An LMI condition for the robust stability of uncertain continuous-time linear systems},
  author={Domingos C. W. Ramos and Pedro Luis Dias Peres},
  journal={IEEE Trans. Automat. Contr.},
A new sufficient condition for the robust stability of continuous-time uncertain linear systems with convex bounded uncertainties is proposed in this note. The results are based on linear matrix inequalities (LMIs) formulated at the vertices of the uncertainty polytope, which provide a parameter dependent Lyapunov function that assures the stability of any matrix inside the uncertainty domain. With the aid of numerical procedures based on unidimensional search and the LMIs feasibility tests, a… CONTINUE READING
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