Abstract
In this paper, we are concerned with a class of Clifford-valued neutral high-order Hopfield neural networks with leakage delays. Although the multiplication of Clifford numbers does not satisfy the commutativity, which brings great difficulties to the study of Clifford-valued systems, we have found a method that does not decompose Clifford-valued systems into real-valued systems to study the existence and global exponential stability of pseudo-almost periodic solutions of this class of neural networks. Our results are completely new. Finally, two examples are given to illustrate the effectiveness and feasibility of our main results.
Highlights
It is well known that time delays always exist in real systems
In the past decades, neural networks with various types of time delays and their dynamic characteristics have been extensively studied, and many excellent results related to the subject have been obtained
As we all know, both the leakage delays and neutral type terms in a system may change the dynamic characteristics of the system [7], [12], [25], [32]–[36], so the main purpose of this paper is to study the existence and global exponential stability of almost periodic solutions for a class of Clifford-valued neutral high-order Hopfield neural networks with leakage delays by direct method
Summary
It is well known that time delays always exist in real systems. in the past decades, neural networks with various types of time delays and their dynamic characteristics have been extensively studied, and many excellent results related to the subject have been obtained. Li: Existence and Global Exponential Stability of Pseudo Almost Periodic Solution important dynamics. There is no direct method to study the almost periodicity of Clifford-valued neutral high-order Hopfield neural networks. As we all know, both the leakage delays and neutral type terms in a system may change the dynamic characteristics of the system [7], [12], [25], [32]–[36], so the main purpose of this paper is to study the existence and global exponential stability of almost periodic solutions for a class of Clifford-valued neutral high-order Hopfield neural networks with leakage delays by direct method.
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