It's the pre-C99 version of a flexible array member, offered by GCC as an extension.
The C99 way is to define the flexible array member with empty brackets,
__u8  supervisor_stack[];
It's used to store data whose amount is not constant contiguous to the struct. Memory is allocated in the form
struct foo *ptr = malloc(sizeof *ptr + whatever_is_needed);
In paragraph 18 of 6.7.2.1, the standard (draft N1570) describes them:
As a special case, the last element of a structure with more than one named member may
  have an incomplete array type; this is called a flexible array member. In most situations,
  the flexible array member is ignored. In particular, the size of the structure is as if the
  flexible array member were omitted except that it may have more trailing padding than
  the omission would imply. However, when a . (or ->) operator has a left operand that is
  (a pointer to) a structure with a flexible array member and the right operand names that
  member, it behaves as if that member were replaced with the longest array (with the same
  element type) that would not make the structure larger than the object being accessed; the
  offset of the array shall remain that of the flexible array member, even if this would differ
  from that of the replacement array. If this array would have no elements, it behaves as if
  it had one element but the behavior is undefined if any attempt is made to access that
  element or to generate a pointer one past it.