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Homogeneous Observers for Projected Quadratic Partial Differential Equations
Abstract : The paper proposes a new homogeneous observer for finite-dimensional projections of quadratic homogeneous hyperbolic PDEs with compact state space. The design relies upon new sufficient conditions for fixed-time convergence of observer's gain, described as a solution of a non-linear homogeneous matrix differential equations, towards an ellipsoid in the space of symmetric non-negative matrices. Convergence of the observer is analyzed, and a numerical convergence test is proposed: numerical experiments confirm the test on ODEs obtained by finite-difference discretization of Burgers-Hopf equation.
Cited literature [16 references]
https://hal.inria.fr/hal-02904474
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Wednesday, July 22, 2020 - 11:20:19 AM
Last modification on : Thursday, March 24, 2022 - 3:43:06 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 4:16:09 AM
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Wednesday, July 22, 2020 - 11:20:19 AM
Last modification on : Thursday, March 24, 2022 - 3:43:06 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 4:16:09 AM
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CDC20_1178_MS.pdf
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