Journal
NEUROCOMPUTING
Volume 284, Issue -, Pages 63-69Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2018.01.018
Keywords
Stability; Difference systems; Quaternion-valued; Impulse; Neural networks
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Funding
- National Natural Science Foundation of China [61673296]
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In this paper, we make first attempt to investigate exponential stability for quaternion-valued impulsive delay difference systems. By employing Lyapunov methods and quaternion-modulus inequality technique, sufficient conditions for the exponential stability are presented. In addition, as a subsequent result, the obtained theory is successfully applied to study a class of discrete-time quaternion-valued impulsive neural networks with delay. Finally, a numerical example is given to illustrate the effectiveness of theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
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