I can't find the plane/article but I remember reading about a military jet that is practically always in an unstable flight pattern and computers constantly adjust it to make it so the pilots can fly it normally.
I recall the main computer of the F-22 core dumping when it crossed the international dateline. And an earlier version of the F-16 flight control computer flipping the plane upside down when it crossed the equator in a simulation...
I'm pretty sure almost all fighter jets are like that - the more unstable it is the more responsive it is when turning, since responsiveness and stability are kind of opposites when it comes to aerodynamics.
Being inherently unstable allows it to be more maneuverable.
I recall reading that about the F-117, many years ago. Can't remember the source, either, and I've no idea if it's accurate.
I think that description fits anything from the B2 bomber or newer made by the US. Stealth implies on some heavy trade-offs.