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Boundary estimation of parameters for linear hyperbolic PDEs

Authors: M. Bin, F. Di Meglio, IEEE Transactions on Automatic Control, Vol. PP, no 99, pp. 1-1, 21 December 2016, DOI 10.1109/TAC.2016.2643442
We propose an adaptive observer scheme to estimate boundary parameters in first-order hyperbolic systems of Partial Differential Equations (PDE). The considered systems feature an arbitrary number of states travelling in one direction and one counter-convecting state. Uncertainties in the boundary reflection coefficients and boundary additive errors are estimated relying on a pre-existing observer design and a novel Lyapunov-based adaptation law.
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author = {F. Di Meglio M. Bin},
title = {Boundary estimation of parameters for linear hyperbolic PDEs},
journal = {IEEE Transactions on Automatic Control},
volume = {PP},
number = {99},
pages = {1-1},
year = {2016},