[From Rick Marken (960113.1300)]
Me:
The gain, g, you are talking about is not _loop_ gain; it
is the linear operator in an open loop sequential process:X(n) < g*X(n-1)
Bruce Abbott (960113.1450) --
How can a sequential process in which X ----> X be open loop?
Because X(n-1) is not having an effect on X(n) _while_ X(n)
is having an effect on X(n-1). Your equation describes a
system with one direction of causality -- from X(n-1) to X(n);
that's _open loop_; there is no causal loop.
Here is the diagram:
X -------[f(X)]
^ |
> >
+-----------+
This is a delay loop; not a closed causal loop. Nice try, but
no cigar.
Your sarcasm is neither deserved nor does it belong on CSGNET.
Obviously, I disagree.
Best
Rick