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

M. Unteregge

doi:10.1016/j.sysconle.2006.12.001

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

M. Unteregge

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

11 Downloads (Pure)

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
Article number	10.1016/j.sysconle.2006.12.001
Pages (from-to)	447-451
Number of pages	5
Journal	Systems and control letters
Volume	56
Issue number	663109/6
DOIs	https://doi.org/10.1016/j.sysconle.2006.12.001
Publication status	Published - Feb 2007

Keywords

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

Access to Document

10.1016/j.sysconle.2006.12.001

http://eprints.eemcs.utwente.nl/secure2/11977/02/sdarticle.pdf

Cite this

@article{690a734d2aeb4498b23cef68b39f801c,

title = "\$p\$-Admissible control elements for diagonal semigroups on \$l\textasciicircum{}r\$-spaces",

abstract = "For linear systems described by \$\textbackslash{}dot\{x\}(t)=A x(t) + bu(t)\$, where \$A\$ is a diagonal operator on the state space \$l\textasciicircum{}r\$ for some \$1 \textbackslash{}leq r < \textbackslash{}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\textbackslash{}neq 2\$.",

keywords = "EWI-11977, IR-62185, METIS-247059, MSC-93C25",

author = "M. Unteregge",

note = "10.1016/j.sysconle.2006.12.001 ",

year = "2007",

month = feb,

doi = "10.1016/j.sysconle.2006.12.001",

language = "Undefined",

volume = "56",

pages = "447--451",

journal = "Systems and control letters",

issn = "0167-6911",

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TY - JOUR

T1 - $p$-Admissible control elements for diagonal semigroups on $l^r$-spaces

AU - Unteregge, M.

N1 - 10.1016/j.sysconle.2006.12.001

PY - 2007/2

Y1 - 2007/2

N2 - 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 $r\neq 2$.

AB - 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 $r\neq 2$.

KW - EWI-11977

KW - IR-62185

KW - METIS-247059

KW - MSC-93C25

U2 - 10.1016/j.sysconle.2006.12.001

DO - 10.1016/j.sysconle.2006.12.001

M3 - Article

SN - 0167-6911

VL - 56

SP - 447

EP - 451

JO - Systems and control letters

JF - Systems and control letters

IS - 663109/6

M1 - 10.1016/j.sysconle.2006.12.001

ER -