Global Asymptotic Almost Periodic Synchronization of Clifford‐Valued CNNs with Discrete Delays
Yongkun Li, Jianglian Xiang · Complexity · 2019
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.