A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks

DOI10.1016/j.neunet.2019.12.028zbMath1443.93128OpenAlexW3000689905WikidataQ92692133 ScholiaQ92692133MaRDI QIDQ2185702

Hui Zhao, Chuan Chen, Haipeng Peng, Lixiang Li, Ling Mi, Yi-Xian Yang

Publication date: 5 June 2020

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2019.12.028

zbMATH Keywords

neural networksfixed-time stabilityfixed-time synchronization

Mathematics Subject Classification ID

Feedback control (93B52) Stability of control systems (93D99) Networked control (93B70)

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Cites Work

• Unnamed Item
• Nonlinear fixed-time control protocol for uniform allocation of agents on a segment
• Stability in linear delay equations
• Exponential stability of stochastic delay interval systems
• Robust fixed-time synchronization of delayed Cohen-Grossberg neural networks
• Separation results for the stabilization of nonlinear systems using different high-gain observer designs
• Fixed-time synchronization of memristor-based BAM neural networks with time-varying discrete delay
• Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks
• Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions
• Fixed-time synchronization of inertial memristor-based neural networks with discrete delay
• Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication
• On Finite-Time Stability of Cyclic Switched Nonlinear Systems
• Stability and stabilization of Boolean networks
• Stability analysis of nonlinear multiparameter singularly perturbed systems
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
• Fixed-Time Synchronization of Complex Networks With Impulsive Effects via Nonchattering Control
• Stability and control of feedback systems with time delays
• Robust Stabilization of Non-Minimum Phase Nonlinear Systems Using Extended High-Gain Observers
• Neural networks and physical systems with emergent collective computational abilities.
• Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
• Neurons with graded response have collective computational properties like those of two-state neurons.

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