Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
ON RICCATI EQUATIONS IN BANACH ALGEBRAS
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2011 (English)In: SIAM Journal of Control and Optimization, ISSN 0363-0129, E-ISSN 1095-7138, Vol. 49, no 2, 464-475 p.Article in journal (Refereed) Published
Abstract [en]

Let R be a commutative complex Banach algebra with the involution .* and suppose that A is an element of R-nxn, B is an element of R-nxm, C is an element of R-pxn. The question of when the Riccati equation PBB*P - PA - A*P - C*C = 0 has a solution P is an element of R-nxn is investigated. A counterexample to a previous result in the literature on this subject is given, followed by sufficient conditions on the data guaranteeing the existence of such a P. Finally, applications to spatially distributed systems are discussed.

Place, publisher, year, edition, pages
2011. Vol. 49, no 2, 464-475 p.
Keyword [en]
Riccati equations, Banach algebras, systems over rings, optimal control, spatially distributed dynamical systems
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-33690DOI: 10.1137/100806011ISI: 000289972200007Scopus ID: 2-s2.0-79955668896OAI: oai:DiVA.org:kth-33690DiVA: diva2:418738
Note
QC 20110524Available from: 2011-05-24 Created: 2011-05-16 Last updated: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Sasane, Amol
By organisation
Optimization and Systems Theory
In the same journal
SIAM Journal of Control and Optimization
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 35 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf