A robust fast convergence zeroing neural network and its applications to dynamic Sylvester equation solving and robot trajectory tracking

DOI10.1016/j.jfranklin.2022.02.022zbMath1494.65016OpenAlexW4214708851MaRDI QIDQ2137105

Lixin Qiu, Jie Jin

Publication date: 16 May 2022

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2022.02.022

zbMATH Keywords

neural networkSylvester equationtrajectory tracking problem

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Numerical methods for matrix equations (65F45)

Related Items (4)

A novel finite-time complex-valued zeoring neural network for solving time-varying complex-valued Sylvester equation ⋮ Nonlinear function activated GNN versus ZNN for online solution of general linear matrix equations ⋮ A noise tolerant parameter-variable zeroing neural network and its applications ⋮ A nonlinear zeroing neural network and its applications on time-varying linear matrix equations solving, electronic circuit currents computing and robotic manipulator trajectory tracking

Cites Work

• Nonlinear gradient neural network for solving system of linear equations
• Adaptive coefficient designs for nonlinear activation function and its application to zeroing neural network for solving time-varying Sylvester equation
• A combined power activation function based convergent factor-variable ZNN model for solving dynamic matrix inversion
• Proposing, developing and verification of a novel discrete-time zeroing neural network for solving future augmented Sylvester matrix equation
• Solving time-varying linear inequalities by finite-time convergent zeroing neural networks
• Distributed robust finite-time nonlinear consensus protocols for multi-agent systems
• Noise-Tolerant ZNN Models for Solving Time-Varying Zero-Finding Problems: A Control-Theoretic Approach
• A New Varying-Parameter Convergent-Differential Neural-Network for Solving Time-Varying Convex QP Problem Constrained by Linear-Equality
• Global finite-time stabilisation for a class of nonlinear systems
• Finite-Time Stability of Continuous Autonomous Systems
• Solution to Generalized Sylvester Matrix Equations
• A noise-tolerant fast convergence ZNN for dynamic matrix inversion

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