Complete stability in multistable delayed neural networks
CY Cheng, CW Shih - Neural Computation, 2009 - ieeexplore.ieee.org
CY Cheng, CW Shih
Neural Computation, 2009•ieeexplore.ieee.orgWe investigate the complete stability for multistable delayed neural networks. A new
formulation modified from the previous studies on multistable networks is developed to
derive componentwise dynamical property. An iteration argument is then constructed to
conclude that every solution of the network converges to a single equilibrium as time tends
to infinity. The existence of 3 n equilibria and 2 n positively invariant sets for the n-neuron
system remains valid under the new formulation. The theory is demonstrated by a numerical …
formulation modified from the previous studies on multistable networks is developed to
derive componentwise dynamical property. An iteration argument is then constructed to
conclude that every solution of the network converges to a single equilibrium as time tends
to infinity. The existence of 3 n equilibria and 2 n positively invariant sets for the n-neuron
system remains valid under the new formulation. The theory is demonstrated by a numerical …
We investigate the complete stability for multistable delayed neural networks. A new formulation modified from the previous studies on multistable networks is developed to derive componentwise dynamical property. An iteration argument is then constructed to conclude that every solution of the network converges to a single equilibrium as time tends to infinity. The existence of 3 n equilibria and 2 n positively invariant sets for the n -neuron system remains valid under the new formulation. The theory is demonstrated by a numerical illustration.
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