Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 29, Issue 11, Pages 5430-5440Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2018.2801297
Keywords
Associative memory; delay; multistability; quaternion-valued neural networks (QVNNs); state-space decomposition
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Funding
- National Natural Science Foundation of China [61773004]
- Program of Chongqing Innovation Team Project in University [CXTDX201601022]
- Natural Science Foundation of Chongqing Municipal Education Commission [KJ1705138]
- Natural Science Foundation of Chongqing [cstc2017jcyjAX0082]
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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 81(n) equilibrium points, 16(n) of which are locally stable. Two numerical examples are provided to illustrate the effectiveness of the obtained results.
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