Multistability Analysis of Quaternion-Valued Neural Networks With Time Delays.
basic_science · Level V
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- Record sourced from PubMed, PMID 29994739.
- Also identified by DOI 10.1109/TNNLS.2018.2801297.
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Abstract
This paper addresses the multistability issue for quaternion-valued neural networks (QVNNs) with time delays. By using the inequality technique, sufficient conditions are proposed for the boundedness and the global attractivity of delayed QVNNs. Based on the geometrical properties of the activation functions, several criteria are obtained to ensure the existence of equilibrium points, of which are locally stable. Two numerical examples are provided to illustrate the effectiveness of the obtained results.