Language: The Control of Perception by Joel B. Judd presents a theory for the brain-language connection using Powers Hierarchical Perceptual Control Theory (HPCT). https://livingcontrolsystems.com/festschrift/judd.html

There are a few people who are writing, or have written some very related and interesting papers or books. Look for anything written by: William Powers, Gary Cziko, and Stephen Krashen, as well as the following books and papers.