State-dependent Riccati equation feedback stabilization for nonlinear PDEs (Q2692793)

scientific article; zbMATH DE number 7667225

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English	State-dependent Riccati equation feedback stabilization for nonlinear PDEs	scientific article; zbMATH DE number 7667225

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instance of

scholarly article

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title

State-dependent Riccati equation feedback stabilization for nonlinear PDEs (English)

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Advances in Computational Mathematics

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publication date

23 March 2023

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full work available at URL

https://arxiv.org/abs/2106.07163

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zbMATH Keywords

stabilization of PDEs

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state-dependent Riccati equations

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algebraic Riccati equations

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Lyapunov equations

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numerical approximation

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describes a project that uses

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An Efficient DP Algorithm on a Tree-Structure for Finite Horizon Optimal Control Problems

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Nonlinear feedback controllers and compensators: a state-dependent Riccati equation approach

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Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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Exponential stability and stabilization of extended linearizations via continuous updates of Riccati‐based feedback

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Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.

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Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey

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Algorithm for overcoming the curse of dimensionality for time-dependent non-convex Hamilton-Jacobi equations arising from optimal control and differential games problems

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Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations

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Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures

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Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations

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A neural network-based policy iteration algorithm with global $H^2$-superlinear convergence for stochastic games on domains

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Robust Feedback Control of Nonlinear PDEs by Numerical Approximation of High-Dimensional Hamilton--Jacobi--Isaacs Equations

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Polynomial Approximation of High-Dimensional Hamilton--Jacobi--Bellman Equations and Applications to Feedback Control of Semilinear Parabolic PDEs

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Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations

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Semiglobal optimal feedback stabilization of autonomous systems via deep neural network approximation

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Adaptive Deep Learning for High-Dimensional Hamilton--Jacobi--Bellman Equations

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On two numerical methods for the solution of large-scale algebraic Riccati equations

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$\mathcal{H}_\infty $ Control of Nonlinear Systems: Differential Games and Viscosity Solutions

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Equivalence between nonlinear ${\mathcal H}_{\infty}$ control problems and existence of viscosity solutions of Hamilton-Jacobi-Isaacs equations

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Suboptimal control for the nonlinear quadratic regulator problem

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10444-022-09998-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2692793