The design problem of generalized brain-state-in-a-box (GBSB) type ass
ociative memories is formulated as a constrained optimization program,
and ''designer'' neural net works for solving the program in real tim
e are proposed, The stability of the designer networks is analyzed usi
ng Barbalat's lemma, The analyzed and synthesized neural associative m
emories do not require symmetric weight matrices, Two types of the GBS
B-based associative memories are analyzed, one when the network trajec
tories are constrained to reside in the hypercube [-1,1](n) and the ot
her type when the network trajectories are confined to stay in the hyp
ercube [0,1](n). Numerical examples and simulations are presented to i
llustrate the results obtained.