This blog post (and blog in general) has some detailed descriptions of different control laws, how they are activated, and how they contributed to the conditions of this particular crash: https://admiralcloudberg.medium.com/trial-by-fire-the-crash-...

The above post is focused on a Sukhoi jet, with some comparison to Airbus' design, but they also cover Airbus in another post: https://admiralcloudberg.medium.com/the-long-way-down-the-cr...