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The general problem of pole assignment: A polynomial equation approach

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2 Author(s)
Zagalak, P. ; Czechoslovak Academy of Sciences, Prague, Czechoslovakia ; Kucera, V.

The problem of modifying the invariant polynomials of a linear system by dynamical output feedback is considered. A new necessary condition which the invariant polynomials must satisfy is derived. The sufficiency condition of Rosenbrock and Hayton is proved in an alternative way. The proof is based on polynomial matrix equations and provides a simple construction of the feedback which affects the desirable change.

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Automatic Control, IEEE Transactions on  (Volume:30 ,  Issue: 3 )