Abstract
The controllability and the observability of linear uncertain systems are investigated here. The systems under consideration contain time-invariant uncertain parameters, which may take arbitrarily large values. In this case, the locations of uncertain elements in the system matrices play an important role. It is shown that a linear uncertain system is controllability and observability invariant if and only if the system has a particular geometric configuration called a complete generalized antisymmetric stepwise configuration (CGASC), which includes GASC defined by Wei1.