Computing Lyapunov functions using deep neural networks (Q2043422)

scientific article; zbMATH DE number 7377229

Language	Label	Description	Also known as
English	Computing Lyapunov functions using deep neural networks	scientific article; zbMATH DE number 7377229

Statements

instance of

scholarly article

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title

Computing Lyapunov functions using deep neural networks (English)

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author

Lars Grüne

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published in

Journal of Computational Dynamics

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publication date

2 August 2021

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full work available at URL

https://arxiv.org/abs/2005.08965

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zbMATH Keywords

deep neural network

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Lyapunov function

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stability

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small-gain condition

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curse of dimensionality

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training algorithm

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describes a project that uses

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Optimization Methods for Large-Scale Machine Learning

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A regularization of Zubov’s equation for robust domains of attraction

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Approximation by superpositions of a sigmoidal function

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On a small gain theorem for ISS networks in dissipative Lyapunov form

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Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions

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Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations

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Computation of Lyapunov functions for nonlinear discrete time systems by linear programming

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Review on computational methods for Lyapunov functions

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2043422