Abstract
In this paper, structured systems described by state space models are considered. For these systems, the entries of the state space model matrices are supposed to be either fixed zeros or free independent parameters. For such systems, one can study structural properties i.e. properties which are valid for almost all values of the parameters. In this paper, we revisit the classical geometric theory in the context of structured systems. In particular, the well-known notion of (A, B)-invariant subspace is redefined and analysed in this context. As an application of this geometric approach for structured systems, we propose a new solution to the disturbance decoupling problem by state feedback.
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