Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays. (12th May 2019)

• Record Type: Journal Article
• Authors: Li, Yongkun; Xiang, Jianglian
• Other Names: Liu Xinzhi Academic Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-05-12
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/6982109
• Languages: English
• ISSNs: 1076-2787

Abstract

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 into2 m 2 n 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.