Abstract
In this paper, we propose some new conditions on ℒ 2 - ℒ ∞ stability of multilayer Hopfield neural networks. These sufficient conditions are represented based on matrix norm and linear matrix inequality (LMI). Under these conditions, multilayer Hopfield neural networks reduce the effect of external input on the state vector to a predefined level. Moreover, the proposed conditions ensure asymptotic stability for multilayer Hopfield neural networks without external input. Dynamic Publishers, Inc.
Original language | English |
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Pages (from-to) | 111-118 |
Number of pages | 8 |
Journal | Neural, Parallel and Scientific Computations |
Volume | 20 |
Issue number | 1 |
Publication status | Published - 2012 Mar |
Externally published | Yes |
ASJC Scopus subject areas
- Software
- Theoretical Computer Science
- Computer Networks and Communications
- Artificial Intelligence
- Applied Mathematics