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- W2100392308 abstract "In this paper, we consider the following linear system of single input on a separable Hilbert space H: /spl phi//spl dot/(t)=A/spl phi/(t)+bu(t), where the operator A is the generator of a C/sub 0/-semigroup on R and the vector b is not necessarily in H (for the case of boundary controls). We assume that the operator A has compact resolvents, the spectrum of A is discrete and simple and the eigenvectors of A form a Riesz basis in H. We study the spectrum assignability of the system by bounded linear feedbacks of the form: u(t)= /sub H/ for h/spl isin/H. Under some conditions on the distribution of the spectrum of A and the relative largeness of b we prove the necessary and sufficient condition of Sun (1981) for a given set of points to be assigned to the system by a bounded linear feedback. Given an assignable spectrum set we present explicitly the linear feedback law which realizes it and prove that the eigenvectors of the resulted feedback system form also a Riesz basis in H." @default.
- W2100392308 created "2016-06-24" @default.
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- W2100392308 date "2002-11-19" @default.
- W2100392308 modified "2023-09-22" @default.
- W2100392308 title "On spectrum and Riesz basis assignment of infinite dimensional linear systems by bounded linear feedbacks" @default.
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- W2100392308 doi "https://doi.org/10.1109/cdc.1995.480622" @default.
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