alt Hacker NewsEven hypersonic weapons with precision terminal guidance use truly ancient CPUs. Physics limits of molecular materials places a very low upper bound on the amount of compute required.
The rate at which an object in the physical world can alter its trajectory is ultimately limited by the strength of molecular bonds in the material it is made from. Exceed that limit and the object will disintegrate. This upper bound is extremely slow from the perspective of a CPU, making it computationally trivial. A computer can react orders of magnitude faster than the quickest physical objects.
I imagine you're correct about course correction speed, although I'd also expect that the materials and their properties are quite classified at present.
I would also imagine that there could be processing necessary that is mostly unrelated to manoeuvering speed (inlet/control surface management, etc). Perhaps some hypersonic experts could weigh in and let us know :)