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)

Exact controllability of C0-groups with one-dimensional input operators, In: Advances in Mathematical Systems Theory. A volume in Honor of Diederich Hinrichsen (F

B. Jacob, H. Zwart

2000

2 Excerpts

Necessary conditions for exact controllability with a finite-dimensional input space

R. Rebarber, G. Weiss

Syst. Contr. Lett., Vol.40,

2000

2 Excerpts

Equivalent conditions for stabilizability of infinitedimensional systems with admissible control operators

B. Jacob, H. Zwart

SIAM J. Contr. Optim.,

1999

2 Excerpts

A note on applications of interpolations theory to control problems of infinite-dimensional systems

H. Zwart

Appl. Math. Comp. Sci.,

1996

2 Excerpts

Admissible observation operators, semigroup criteria of admissibility

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