Feedback Nerual Network(五）：Design CHNN

 

 

Difference between CHNN & DHNN:
First-order differential equation corresponds to first-order inertial link惯性环节. For DHNN, this formula is yi=si.
Usually it is not Binary Function any more here, but use  S-type Function or Hyperbolic Function.

 

CHNN structure:

Network Structure & Work Mode

Given an initial state xi(0) (i=1,2,. . .,n), through solvin this group of non-linear differential equations, one can
obtain the moving-trace of the network status.

If the system is stable, then eventually it will convergto a Stable State through:

Asynchronous Work Mode

Synchronous Work Mode

If implement this function by using previous H/W circuit, then the solving process is very fast and the output of this circuit is the result of equations

 

 

Stability

Define the Energy Function, which is same as in DHNN,
only third item is 0 in DHNN, because dη η η η= 0 for binary function f( . )