Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Some new results on algebraic Riccati equations arising in linear quadratic differential games and the stabilization of uncertain linear systems

Simple item page
dc.contributor.authorPetersen, Ian R.en
dc.date.accessioned2026-07-02T08:42:15Z
dc.date.available2026-07-02T08:42:15Z
dc.date.issued1988en
dc.description.abstractThis paper presents some new results on algebraic Riccati equations arising in linear quadratic differential games. The first result is a uniqueness result for solutions of the Riccati equations under consideration. The second result is concerned with Riccati equations which arise in differential games in which the weighting on the minimizing control is allowed to approach zero. It is shown that if a certain minimum phase condition is satisfied then the corresponding solution to the Riccati equation will also approach zero.en
dc.description.sponsorship* This work was supported by the Australian Research Grants Scheme.en
dc.description.statusPeer-revieweden
dc.format.extent8en
dc.identifier.issn0167-6911en
dc.identifier.otherORCID:/0000-0003-4856-9450/work/219057251en
dc.identifier.scopus0024015141en
dc.identifier.urihttps://hdl.handle.net/1885/733812250
dc.language.isoenen
dc.sourceSystems and Control Lettersen
dc.subjectCheap controlen
dc.subjectDifferential gamesen
dc.subjectRiccati equationsen
dc.subjectUniqueness resultsen
dc.titleSome new results on algebraic Riccati equations arising in linear quadratic differential games and the stabilization of uncertain linear systemsen
dc.typeJournal articleen
dspace.entity.typePublicationen
local.bibliographicCitation.lastpage348en
local.bibliographicCitation.startpage341en
local.contributor.affiliationPetersen, Ian R.; UNSW Canberra at ADFAen
local.identifier.citationvolume10en
local.identifier.doi10.1016/0167-6911(88)90024-2en
local.identifier.purefc437f6f-4935-469e-a09a-c1610541b982en
local.identifier.urlhttps://www.scopus.com/pages/publications/0024015141en
local.type.statusPublisheden

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
Some_new_results_on_algebraic_Riccati_equations_in_linear_quadratic_differential_games.pdf
Size:
769.33 KB
Format:
Adobe Portable Document Format
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS