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.
Realization and structure theory of bilinear dynamical systems.SIAM Journal on Control, 12(3):517–535, August 1974
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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.