On the effect of friend feedbacks
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Given S an (A,B)-invariant subspace, we prove that the set of friend feedbacks is a linear variety, which can be considered as the direct sum of the feedbacks of the restriction to S and the co-restriction to S ⊥. In particular, when the natural controllability hypothesis hold, both pole assignments are simultaneously possible bymeans of a convenient friend feedback. Copyright
CitationCompta, A.; Ferrer, J.; Peña, M. On the effect of friend feedbacks. "Mathematical methods in the applied sciences", 2011, vol. 34, núm. 3, p. 309-314.