On the Carleson measure criterion in linear systems theory
نویسندگان
چکیده
In Ho and Russell (SIAM J Control Optim 21(4):614–640, 1983), and Weiss (Syst Control Lett 10(1): 79–82, 1988), a Carleson measure criterion for admissibility of one-dimensional input elements with respect to diagonal semigroups is given.We extend their results from the Hilbert space situation (L2-admissibility on the state space 2) to the more general situation of L p-admissibility on the state space q . For analytic diagonal semigroups we present a new result that does not rely on Laplace transformmethods. A comparison of both criteria leads to a result on L p-admissibility for reciprocal systems in the sense of Curtain (Syst Control Lett 49(2):81–89, 2003).
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