Abstract:
The main result in this paper is that for a neural circuit of the Hopfield type with a symmetric connection matrix T, the negative semidefiniteness of T is a necessary an...Show MoreMetadata
Abstract:
The main result in this paper is that for a neural circuit of the Hopfield type with a symmetric connection matrix T, the negative semidefiniteness of T is a necessary and sufficient condition for Absolute Stability. The most significant theoretical implication is that the class of neural circuits with a negative semidefinite T is the largest class of circuits that can be employed for embedding and solving optimization problems without the risk of spurious responses.<>
Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications ( Volume: 41, Issue: 7, July 1994)
DOI: 10.1109/81.298364