Neural operators for robust output regulation of hyperbolic PDEs

Author:

Xiao Yu,Yuan Yuan,Luo Biao,Xu XiaodongORCID

Funder

National Natural Science Foundation of China

Hunan Provincial Natural Science Foundation

Publisher

Elsevier BV

Reference34 articles.

1. Adaptive control of linear 2×2 hyperbolic systems;Anfinsen;Automatica,2018

2. Neural operators for bypassing gain and control computations in PDE backstepping;Bhan;IEEE Transactions on Automatic Control,2023

3. Backstepping-forwarding control and observation for hyperbolic PDEs with fredholm integrals;Bribiesca-Argomedo;IEEE Transactions on Automatic Control,2015

4. Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems;Chen;IEEE Transactions on Neural Networks,1995

5. Local exponential H2 stabilization of a 2×2 quasilinear hyperbolic system using backstepping;Coron;SIAM Journal on Control and Optimization,2013

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