Is "stabilize into" a valid collocation? [closed]

Yes, it's a valid collocation, though "stabilize to/into" shows up in Ngram only fairly recently, from around 1920-1940. Here are some examples it turns up:

• If a specific, fixed bank angle is selected, then the airspeed is allowed to stabilize to the constant value corresponding to this constant bank angle. - Stephen Corda, Introduction to Aerospace Engineering with a Flight Test Perspective
• When meaning and action around an object stabilize into routine, especially when these arrangements are institutionally supported, objects can powerfully shape action. - Terence E. McDonnell, Best Laid Plans
• They are all ongoing processes affected by many things that stabilize into particular patterns. - Peter Coleman, The Five Percent