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Controllability of time-invariant singular linear systems

M. Isabel Garcia-Planas
We consider triples of matrices $(E, A,B)$, representing singular linear time invariant
systems in the form $E\dot x(t) = Ax(t)+Bu(t)$, with $E,A\in M_{n}(C)$ and $B\in M_{n\times m}(C)$, under
proportional and derivative feedback.

Structural invariants under equivalence relation characterizing singular linear systems are
used to obtain conditions for
controllability of the systems.
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