Abstract
This paper studies the drive-response synchronization for quaternion-valued shunting inhibitory cellular neural networks (QVSICNNs) with mixed delays. First, QVSICNN is decomposed into an equivalent real-valued system in order to avoid the non-commutativity of the multiplicity. Then, the existence of almost periodic solutions is obtained based on the Banach fixed point theorem. An novel state-feedback controller is designed to ensure the global exponential almost periodic synchronization. At the end of the paper, an example is given to illustrate the effectiveness of the obtained results.
Highlights
Quaternion was first proposed by Hamilton [1] in 1853
With the development of modern science, the quaternion has been widely used in attitude control, quantum mechanics, computer graphics and so on, see [2,3,4,5] and references therein
quaternion-valued neural networks (QVNNs) can be applied to engineering and science
Summary
Quaternion was first proposed by Hamilton [1] in 1853. because of the non-commutativity of quaternion multiplicity, the development on quaternion was quite slow. We establish the sufficient conditions for the existence of almost periodic solutions of system (1), and the sufficient conditions for the global exponential synchronization of the drive system (1) and the response system (9).
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