Robust Schur Stable Control Systems

In this paper Schur stability of discrete time uncertain control systems is investigated. It is shown that Schur stability of the control system is determined mainly by the stability of the exposed edges in the value set. A collinearity condition is derived which allows the determination of the changes in the exposed edges. Especially plants with symmetric/antisymmetric parametrization are considered. For a simplification of the stability test's of edges the vertex property for three controller structures is investigated