All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
In a conditional divorce, what matters is your intention. You said that you intended that she returns home to live with you. Since she did not do so, the divorce was effective. For more benefit, please refer to Fatwa 83152.
There is one exception for this: If your wife is someone who is concerned about your oaths – that is, she dislikes breaking your oaths – and so she did what she did - that is, she came to your house for ten minutes – with the interpretation that by doing so your oath is not broken, then the oath is not broken. Shaykh Al-Islam Ibn Taymiyyah said: “Someone who falls under someone else's oath may do that thing (about which the oath was taken) out of forgetfulness or misinterpretation, or that the oath was taken for some reason and that reason no longer exists; or someone may make an oath according to a certain belief and then it turns out to be untrue - all these types do not result in divorce according to the strongest opinion.” [End of quote]
Under the assumption that your oath was broken and the divorce was effective, then if this is not the third divorce and you wish to take your wife back (during her waiting period), then you may take her back without a new contract. It is appropriate in this case that righteous people from your family and hers sit together to reconcile between you both, and some resolutions (or conditions) should be laid out so that she will not do that again. For more benefit, please refer to Fatwa 82541 about the types of divorce.
Finally, if a wife ceases to be obedient to her husband, then she is Naashiz (recalcitrant) and this frees her husband from the obligation of financial support until she is obedient to him again. By her being Naashiz, the husband also has the right to discipline her according to Sharee'ah (Islamic Law). In this regard, please refer to Fatwa 85402.
Allaah Knows best.