Question: What organization controlled Hilmar Björnsson and the Iceland national football team?

Context articles: Ásgeir Elíasson
Ásbjörn Björnsson
List of Iceland international footballers
Ásthildur Helgadóttir
Iceland national under-19 football team
Iceland national football team
Hilmar Björnsson
Football Association of Iceland
Haraldur Björnsson
Iceland national under-17 football team

Ásgeir Elíasson (22 November 1949 – 9 September 2007) was a football manager and coach of the Iceland national football team between 1991 and 1995.
 He was manager of Fram Reykjavik for twelve years.
 Ásgeir played games for the Iceland national football team in three sports: football, handball and volleyball, before starting as professional manager.
Ásbjörn Björnsson (born 20 October 1962) is an Icelandic former footballer who played as a midfielder.
 He won one cap for the Iceland national football team, coming on as a substitute for Sigurjón Kristjánsson in the 4–0 win over the Faroe Islands on 2 August 1982.
The Iceland national football team is the representative association football team of Iceland and is affiliated to both FIFA and UEFA.
 The team played its first match on 17 July 1946 against Denmark and played only friendly matches for the first eleven years of its existence before participating in the qualification campaign for the 1958 FIFA World Cup.
 Iceland have played a total of 402 international fixtures as of 16 October 2012.
 More than 400 players have represented Iceland in international football; of these, Rúnar Kristinsson has won the most caps with a total of 104 between 1987 and 2004, making him the only Icelander to make more than 100 appearances for the country.
 Conversely, the Iceland careers of 78 of those players consisted of a single international cap.
Ásthildur Helgadóttir (born 9 May 1976) is an Icelandic former footballer who played club football in America and Sweden, as well as her native Iceland.
 From 1993 until her retirement in 2007 she represented the senior Iceland women's national football team, winning 69 caps and scoring 23 goals.
 She is the elder sister of Iceland national team goalkeeper Þóra Björg Helgadóttir.
The Iceland national under-19 football team, controlled by the Football Association of Iceland, represents Iceland at the European Under-19 Football Championship and international friendly match fixtures at the under-19 age level.
The Iceland men's national football team (Icelandic: "Íslenska karlalandsliðið í knattspyrnu" ) is the national men's football team of Iceland and is controlled by the Football Association of Iceland.
Hilmar Björnsson (born 13 May 1969) is an Icelandic former football player who made three appearances for the Iceland national football team.
 He now works as a television producer in Iceland and owns the only Golf television station in Iceland.
The Football Association of Iceland (Icelandic: "Knattspyrnusamband Íslands" , KSÍ) is the governing body of football in Iceland.
 It was founded on 26 March 1947, joined FIFA the same year, and UEFA in 1954.
 It organises the football league, Úrvalsdeild, and the Iceland national football team and Iceland women's national football team.
 It is based in Reykjavík.
Haraldur Björnsson (born 11 January 1989) is a Icelandic footballer who plays for Stjarnan and the Iceland national football team as a goalkeeper.
The Iceland national under-17 football team represents Iceland in international football at this age level and is controlled by Knattspyrnusamband Íslands (KSÍ), the governing body for football in Iceland.