# $p$-Admissible control elements for diagonal semigroups on $l^r$-spaces

M. Unteregge

5 Citations (Scopus)

## Abstract

For linear systems described by $\dot{x}(t)=A x(t) + bu(t)$, where $A$ is a diagonal operator on the state space $l^r$ for some $1 \leq r < \infty$, we develop necessary and sufficient conditions for $b$ to be $p$-admissible. This extends results by Ho, Russell and Weiss to the case $r\neq 2$.
Original language Undefined 10.1016/j.sysconle.2006.12.001 447-451 5 Systems and control letters 56 663109/6 https://doi.org/10.1016/j.sysconle.2006.12.001 Published - Feb 2007

## Keywords

• EWI-11977
• IR-62185
• METIS-247059
• MSC-93C25