bound up, involved, wrapped up
Webster's Dictionary (GCIDE)
committed \committed\ adj.
1.Bound or obligated, as under a pledge to a particular cause, action, or attitude. Opposite of uncommitted.
Note: [Narrower terms: bound up, involved, wrapped up; dedicated, devoted; pledged, sworn] [WordNet 1.5]
2.Associated in an exclusive sexual relationship; also called attached. Opposite of unattached.
Note: [Narrower terms: affianced, bespoken, betrothed, engaged, pledged, promised(predicate); married] [Also See: loving.]
Syn: attached. [WordNet 1.5]
3.Consigned involuntarily to custody, as in a prison or mental institution. [WordNet 1.5]