Feedback linearization is achieved for hyperbolic PDEs with Volterra nonlinearities via a transport-adapted Chen-Fliess series that eliminates kernel PDEs in the controller design.
Boundary control of an unstable heat equation via measurement of domain-averaged temperature.IEEE Transactions on Auto- matic Control, 46(12):2022–2028
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Feedback Linearization of Hyperbolic PDEs with Volterra Nonlinearities
Feedback linearization is achieved for hyperbolic PDEs with Volterra nonlinearities via a transport-adapted Chen-Fliess series that eliminates kernel PDEs in the controller design.