Stochastic stabilization of hybrid neural networks by periodically intermittent control based on discrete-time state observations. (May 2023)

• Record Type: Journal Article
• Authors: Mao, Wei; You, Surong; Jiang, Yanan; Mao, Xuerong
• Is Part Of: Nonlinear analysis. Volume 48(2023)
• Publication Date: 2023-05
• Subjects: Stochastic stabilization -- Hybrid stochastic neural networks -- Periodically intermittent control -- Discrete-time state observation; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2023.101331
• Languages: English
• ISSNs: 1751-570X

Abstract

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.