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Eigenstructure assignment in linear descriptor systems

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2 Author(s)
Zagalak, Petr ; Inst. of Inf. Theory & Autom., Czechoslovak Acad. of Sci., Prague, Czech Republic ; Kucera, V.

Given a linear controllable system Ex˙=Fx+Gu, we study the limits of linear proportional feedback u=Kx+υ in assigning a desired finite and infinite eigenstructure of the closed-loop system Ex˙=(F+GK)x+Gυ. The closed-loop system is not restricted to be regular; its rank makes part of the specifications. Necessary and sufficient conditions are established for the existence of a feedback gain K which assigns the desired eigenstructure, and a procedure is outlined to calculate one such gain

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Automatic Control, IEEE Transactions on  (Volume:40 ,  Issue: 1 )