论文标题
泄漏延迟和添加时变延迟的四元成率神经网络的稳定性分析
Stability Analysis of Quaternion-valued Neural Networks with Leakage Delay and Additive Time-varying Delays
论文作者
论文摘要
在本文中，提出了泄漏延迟和添加时间变化的延迟的四元基率神经网络（QVNN）的稳定性分析。通过采用Lyapunov-Krasovskii功能方法，并充分考虑了随时间变化的延迟与延迟的上限之间的关系，基于相互凸的方法和几种不平等技术得出了一些足够的标准。稳定性标准以两种形式建立：季相值线性矩阵不等式（QVLMIS）和复杂值的线性矩阵不等式（CVLMIS），其中CVLMI可以通过Matlab中的Yalmip工具箱直接解决。最后，提出了一个说明性示例，以证明理论结果的有效性。
In this paper, the stability analysis of quaternion-valued neural networks (QVNNs) with both leakage delay and additive time-varying delays is proposed. By employing the Lyapunov-Krasovskii functional method and fully considering the relationship between time-varying delays and upper bounds of delays, some sufficient criteria are derived based on reciprocally convex method and several inequality techniques. The stability criteria are established in two forms: quaternion-valued linear matrix inequalities (QVLMIs) and complex-valued linear matrix inequalities (CVLMIs), in which CVLMIs can be directly resolved by the Yalmip toolbox in MATLAB. Finally, an illustrative example is presented to demonstrate the validity of the theoretical results.
