Title
A proof of kaszkurewicz and bhaya’s conjecture on absolute stability of neural networks in two-neuron case
Document Type
Article
Publication Date
1-1-2000
Abstract
This letter presents a proof of Kaszkurewicz and Bhaya's conjecture 1 on the absolute stability of neural networks in the two-neuron case. The conjecture states that the necessary and sufficient condition for absolute stability of neural networks with an n X n interconnection matrix T is T £I0, where I0 denotes the class of matrices T such that matrix (T -£?1)£?2 has all eigenvalues with negative real parts for arbitrary positive diagonal matrices D, and D2- A characterization condition for the I0 class of matrices in the two-dimensional (2-D) case n = 2 is also obtained. © 2000 IEEE.
Publication Source (Journal or Book title)
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
First Page
609
Last Page
611
Recommended Citation
Liang, X., & Wang, J. (2000). A proof of kaszkurewicz and bhaya’s conjecture on absolute stability of neural networks in two-neuron case. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47 (4), 609-611. https://doi.org/10.1109/81.841868