1. 一类区间时滞忆阻神经网络的稳定性控制.
- Author
-
赵一飞, 曹梦亭, 褚佳奕, 崔铠亭, and 章联生
- Abstract
This paper is concerned with the stability problem for a kind of memristive neural network (MNN) with interval time-varying delays. Since the model of the MNN is a differential equation with a discontinuous function on right hand side, the classical theory of differential equations is beyond appliance. By means of the theory of differential inclusion and the framework of Filippov solution, the delayed MNN can be transformed into some common delayed neural network and a novel Lyapunov-Krasovskii functional (LKF) is constructed with a first-order function regarding time delay. Utilizing some integral inequalities and the reciprocally convex combination inequality to assess its time derivative, we obtain a sufficient condition guaranteeing the asymptotic stability of the delayed MNN in the form of linear matrix inequalities (LMIs), which can be checked easily by MATLAB. Ultimately, it is shown through numerical example that the proposed method is valid and realizable. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF