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IMA Journal of Mathematical Control and Information 1994 11(2):111-131; doi:10.1093/imamci/11.2.111
© 1994 by Institute of Mathematics and its Applications
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On the solvability of Morgan's problem (II): pole assignment while decoupling by state feedback and a constant singular input transformation

TRIFON G. KOUSSIOURIS and BASILE TYRLIS

Department of Electrical Engineering, National Technical University of Athens 42 Patission Street, Athens 106 82, Greece

Necessary and sufficient conditions are determined for the stabilization of an l-input m-output time-invariant linear controllable system while decoupling it by state feed-backo and a constant singular input transformation. The fixed poles of the decoupled system are related to the interconnection-invariant zeros of the uncompensated system that have complexity greater than l—m. Furthermore, methods are presented for assigning arbitrarily all the non-fixed poles of the decoupled system.


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