Fixed-Time Stability of Nonlinear Impulsive Systems and its Application to Inertial Neural Networks

This article is concerned with the fixed-time stability (FTS) problem of nonlinear impulsive systems (NISs). By means of the impulsive control mechanism and Lyapunov functions theory, several sufficient conditions are established to ensure the FTS of general NISs. Meanwhile, some novel impulse-depen...

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Veröffentlicht in:	IEEE transaction on neural networks and learning systems 2024-02, Vol.35 (2), p.1872-1883
Hauptverfasser:	Hua, Lanfeng, Zhu, Hong, Zhong, Shouming, Zhang, Yuping, Shi, Kaibo, Kwon, Oh-Min
Format:	Artikel
Sprache:	eng
Schlagworte:	Artificial neural networks Asymptotic stability Convergence Delayed inertial neural networks (DINNs) Delays fixed-time stability (FTS) Impulses impulsive control mechanism Liapunov functions Lyapunov theorems Neural networks nonlinear impulsive systems (NISs) Nonlinear systems Settling Stability Stability criteria Synchronization Time dependence Time synchronization Upper bound Upper bounds
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