Preprint of the project: miscellaneous activities
02/08 Anke Meyer-Bäse, Rodney G. Roberts, Vera Thümmler.
Local Uniform Stability of Competitive Neural Networks with
Different Time-Scales under Vanishing Perturbations
We prove local uniform stability for a
class of parametric uncertain competitive multi-time scale neural
networks and determine the conditions under which stability holds as
simple relationships between the neural parameters. It is assumed that
the resulting parametric perturbations are only limited by their
bounds. The stability conditions are established based on Gershgorin's
Theorem and at the same time a more realistic upper bound is obtained
than with the conservative method for the fast time scale associated
with the neural activity state.
