Improved neural dynamics for online Sylvester equations solving

DOI10.1016/J.IPL.2016.03.004zbMath1356.68267OpenAlexW2295420790MaRDI QIDQ269716

Ke Chen

Publication date: 6 April 2016

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ipl.2016.03.004

zbMATH Keywords

online algorithmsparallel processingglobal exponential convergenceneural dynamicsSylvester equations

Mathematics Subject Classification ID

Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Matrix equations and identities (15A24) Linear ordinary differential equations and systems (34A30) Online algorithms; streaming algorithms (68W27)

Related Items (3)

Tracking control of ship course system using new six-step zead (Zhang et al discretization) formula with high precision ⋮ General recurrent neural network for solving generalized linear matrix equation ⋮ Proposing, developing and verification of a novel discrete-time zeroing neural network for solving future augmented Sylvester matrix equation

Uses Software

• Algorithm 432

Cites Work

• Robustness analysis of a hybrid of recursive neural dynamics for online matrix inversion
• Neural networks for control systems - a survey
• Improved gradient-based neural networks for online solution of Lyapunov matrix equation
• Infinitely many Zhang functions resulting in various ZNN models for time-varying matrix inversion with link to Drazin inverse
• Improved neural solution for the Lyapunov matrix equation based on gradient search
• Recurrent implicit dynamics for online matrix inversion
• Dynamic System Identification Using High-Order Hopfield-Based Neural Network (HOHNN)
• Performance Analysis of Gradient Neural Network Exploited for Online Time-Varying Matrix Inversion
• Gradient based iterative algorithms for solving a class of matrix equations
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Two/Infinity Norm Criteria Resolution of Manipulator Redundancy at Joint‐Acceleration Level Using Primal‐Dual Neural Network
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• Observer-based Adaptive fuzzy control of time-delay uncertain nonlinear systems

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