Journal
NEURAL NETWORKS
Volume 91, Issue -, Pages 55-65Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2017.04.006
Keywords
Quaternion-valued neural networks; Leakage delay; Discrete delay; Global robust stability; Linear matrix inequality; Modulus inequality technique
Funding
- National Natural Science Foundation of China [61403051]
- Program of Chongqing Innovation Team Project in University [CXTDX20160102]
- Natural Science Foundation of Chongqing Municipal Education Commission [KJ1705138, KJ1705118]
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This paper addresses the problem of robust stability for quaternion-valued neural networks (QVNNs) with leakage delay, discrete delay and parameter uncertainties. Based on Homeomorphic mapping theorem and Lyapunov theorem, via modulus inequality technique of quaternions, some sufficient conditions on the existence, uniqueness, and global robust stability of the equilibrium point are derived for the delayed QVNNs with parameter uncertainties. Furthermore, as direct applications of these results, several sufficient conditions are obtained for checking the global robust stability of QVNNs without leakage delay as well as complex-valued neural networks (CVNNs) with both leakage and discrete delays. Finally, two numerical examples are provided to substantiate the effectiveness of the proposed results. Published by Elsevier Ltd.
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