We have developed a two-dimensional (2-D) face test to determine the stability of a nominally stable linear state-space model being subjected to real structured perturbations. The system matrices are assumed to depend linearly on set of interval parameters. Since the system matrix family of the uncertain systems belongs to a kind of polytopes of matrices, we can apply a 2-D face test, which is necessary and sufficient condition for the robust Hurwitz or Schur stability for the uncertain matrices. Examples are given to verify the 2-D robust stability test to be correct.
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