CONJUNCTIVE ADJUNCTS are those which relate the clause to the preceding text. (They are alternatively known as ʻdiscourse Adjunctsʼ).
- Halliday (1985), a pag.49

Conjunctive Adjunct tend to occur at points in the clause which are significant for textual organization, which means at some boundary or other: (i) clause initial, as (part of) the textual theme; (ii) clause final, as afterthought; (iii) between Theme and Rheme; (iv) between Mood and Residue. Examples: (i) However, such men don’t make good husbands. (ii) Such men don’t make good husbands, however. (iii) Such men, however, don’t make good husbands. (iv) Such men don’t, however, make good husbands. […] Conjunctive Adjuncts are outside the Mood – Residue organization; they have no function in the clause as exchange.
- Halliday (1985), a pag.81-82