Stochastic stabilization of hybrid neural networks by periodically intermittent control based on discrete-time state observations

Mao, Wei and You, Surong and Jiang, Yanan and Mao, Xuerong (2023) Stochastic stabilization of hybrid neural networks by periodically intermittent control based on discrete-time state observations. Nonlinear Analysis: Hybrid Systems, 48. 101331. ISSN 1751-570X (https://doi.org/10.1016/j.nahs.2023.101331)

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Abstract

This paper is concerned with stabilization of hybrid neural networks by intermittent control based on continuous or discrete-time state observations. By means of exponential martingale inequality and the ergodic property of the Markov chain, we establish a sufficient stability criterion on hybrid neural networks by intermittent control based on continuous-time state observations. Meantime, by M-matrix theory and comparison method, we show that hybrid neural networks can be stabilized by intermittent control based on discrete-time state observations. Finally, two examples are presented to illustrate our theory.

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