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Was this some type of divorce settlement agreement that they entered into?
Was this agreement filed in the divorce case as part of the record and approved by the judge?
Ok, then since this agreement was presumably intended as spousal support for the ex, then he could breach it and then force her to try and file suit against him for breach of contract. In response, he could file a motion to reopen any divorce case and ask the judge to enter an order stating that he doesn't have to pay any more spousal support to her or at the very least enter an order awarding her some reduced amount for a set period.
Ok, if she waived spousal support, then I am not sure why your husband voluntarily agreed to enter into a contract agreeing to pay her the agreed on amount per month indefinitely... But if this agreement was entered into after the divorce was finalized, she could try to enforce it, but he could defend by showing that there was no "consideration" given to him (i.e. he received nothing in return for his promise to pay her) and therefore this is a gift each month that he is free to discontinue at any time.