Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays

Yongkun Li and Jianglian Xiang

Complexity, 2019, vol. 2019, 1-13

Abstract:

In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays. Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity of the multiplication of Clifford numbers, we first decompose the considered Clifford-valued neural network into real-valued systems. Second, based on the Banach fixed point theorem, we establish the existence and uniqueness of almost periodic solutions of the considered neural networks. Then, by designing a novel state-feedback controller and constructing a proper Lyapunov function, we study the global asymptotic synchronization of the considered neural networks. Finally, a numerical example is presented to show the effectiveness and feasibility of our results.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:6982109

DOI: 10.1155/2019/6982109

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