Tradeoff Analysis Between Control Time and Energy Consumption for Delayed Neural Networks With Discontinuous Activation Functions.

Chen, Chongyang; Zhu, Song; Zeng, Zhigang · IEEE Trans Neural Netw Learn Syst · 2023

basic_science · Level V

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Abstract

This article studies finite-time stabilization of delayed neural networks (DNNs) whose activation functions are discontinuous. Several sufficient conditions for guaranteeing finite-time stabilization of considered DNNs are obtained by constructing appropriate controllers with giving upper bounds of control time. Subsequently, based on the existing definition of energy consumption, the required energy to achieve stabilization is estimated. To quantify the cost of control, an evaluation index function is constructed to analyze the tradeoff between control time and consumed energy. Ultimately, acquired results are verified by simulating two numerical examples.