Exact Observability of Diagonal Systems with a One-dimensional Output Operator

Abstract

for all z0 ∈ D(A). Here T (t) is the C0-semigroup generated by A. A system (1) that satisfies the above conditions will be denoted by Σ(A,C). The admissibility of C, eqn. (2), implies that we can extend the mapping z0 → CT (·)z0 to a bounded linear mapping from Z to L2(0,∞). We denote this mapping by C. Thus we have that for any initial condition z0 the… (More)

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Cite this paper

@inproceedings{Jacob2002ExactOO, title={Exact Observability of Diagonal Systems with a One-dimensional Output Operator}, author={Birgit Jacob and Hans Zwart}, year={2002} }