Impulsive disturbance on stability analysis of delayed quaternion-valued neural networks

DOI10.1016/j.amc.2020.125680OpenAlexW3089799272MaRDI QIDQ2660846

Tingwen Huang, Shiping Wen, Huamin Wang, Guoliang Wei

Publication date: 31 March 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125680

zbMATH Keywords

exponential stabilityimpulsive disturbancegeneralized normquaternion-valued neural networks

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Global stability of solutions to ordinary differential equations (34D23) Networked control (93B70)

Related Items (17)

Globally \(\beta\)-Mittag-Leffler stability and \(\beta\)-Mittag-Leffler convergence in Lagrange sense for impulsive fractional-order complex-valued neural networks ⋮ Global exponential stability of Clifford-valued neural networks with time-varying delays and impulsive effects ⋮ Global Mittag-Leffler stability for fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses ⋮ Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales ⋮ New criteria of finite time synchronization of fractional-order quaternion-valued neural networks with time delay ⋮ Noise-to-state stability of random impulsive delay systems with multiple random impulses ⋮ Fixed/preassigned-time synchronization of quaternion-valued neural networks via pure power-law control ⋮ Novel methods to global Mittag-Leffler stability of delayed fractional-order quaternion-valued neural networks ⋮ Information space of multi-sensor networks ⋮ Almost periodic oscillation of octonion-valued neural networks with delays on time scales ⋮ Besicovitch almost periodic solutions for fractional‐order quaternion‐valued neural networks with discrete and distributed delays ⋮ Almost automorphic solutions in distribution for octonion-valued stochastic recurrent neural networks with time-varying delays ⋮ Global exponential stability for delayed Clifford-valued coupled neural networks with impulsive effects ⋮ Fixed-time synchronization of quaternion-valued neural networks with impulsive effects: a non-decomposition method ⋮ Multistability analysis of quaternion-valued neural networks with cosine activation functions ⋮ New stability criterion for fractional-order quaternion-valued neural networks involving discrete and leakage delays ⋮ Effect of saturation structure on finite-time stabilization of nonlinear systems with impulsive disturbance

Cites Work

• Stability analysis of quaternion-valued neural networks with both discrete and distributed delays
• Stability and stabilization of quaternion-valued neural networks with uncertain time-delayed impulses: direct quaternion method
• Multistability and multiperiodicity in impulsive hybrid quaternion-valued neural networks with mixed delays
• Robust stability analysis of quaternion-valued neural networks with time delays and parameter uncertainties
• Exponential and adaptive synchronization of inertial complex-valued neural networks: a non-reduced order and non-separation approach
• Reachable set estimation of delayed fuzzy inertial neural networks with Markov jumping parameters
• Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition
• Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control
• Synchronization of complex-valued dynamic networks with intermittently adaptive coupling: a direct error method
• Decomposition approach to the stability of recurrent neural networks with asynchronous time delays in quaternion field
• Global exponential stability for quaternion-valued recurrent neural networks with time-varying delays
• The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
• Quaternion-MUSIC for vector-sensor array processing
• Quaternion Collaborative and Sparse Representation With Application to Color Face Recognition

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