Abstract
The concepts of {A,E,R(B)} and restricted {E,A,R(B)} invariance are introduced. The reachable subspace of a descriptor system is shown to be the supremal {A,E,R(B)}invariant subspace contained in the least restricted {E,A,R(B)} subspace of Rn. Algorithms to compute the reachable subspace of a descriptor system\(E\dot x = Ax + Bu\) in terms ofE,A andB are given. A new proof of the feedback invariance of the reachable subspace is presented.
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özcaldiran, K. A geometric characterization of the reachable and the controllable subspaces of descriptor systems. Circuits Systems and Signal Process 5, 37–48 (1986). https://doi.org/10.1007/BF01600185
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DOI: https://doi.org/10.1007/BF01600185