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The disturbance decoupling problem for implicit linear discrete-time systems. (English) Zbl 0726.93050
The implicit linear discrete-time system considered is $$Ex_{k+1}=Fx_ k+Gu_ k+Dz_ k$$, $$y_ k=Hx_ k$$ where E is generally an noninvertible matrix. The state feedback K makes the system disturbance decoupled if $$y_ k=0$$ for any $$z_ k$$ and F modified to $$F+GK$$. The technique used for solution is some generalization of invariant subspaces. No work of Marro and his Italian school of geometric control based on invariant subspaces is mentioned.

##### MSC:
 93C55 Discrete-time control/observation systems 93B27 Geometric methods 93C05 Linear systems in control theory 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
time-invariant
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