Articles with "hyperbolic pdes" as a keyword



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Adaptive Boundary Observer Design for coupled ODEs-Hyperbolic PDEs systems

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Published in 2020 at "IFAC-PapersOnLine"

DOI: 10.1016/j.ifacol.2020.12.1359

Abstract: Abstract We consider the state estimation of ηξ hyperbolic PDEs coupled with ηX ordinary differential equations at the boundary. The hyperbolic system is linear and propagates in the positive x-axis direction. The ODE system is… read more here.

Keywords: adaptive boundary; boundary observer; observer design; hyperbolic pdes ... See more keywords
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Boundary Estimation of Boundary Parameters for Linear Hyperbolic PDEs

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Published in 2017 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2016.2643442

Abstract: 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 traveling in one direction and one counter-convecting… read more here.

Keywords: estimation boundary; boundary estimation; boundary parameters; linear hyperbolic ... See more keywords
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Adaptive Control of Hyperbolic PDEs Coupled With a Disturbed and Highly Uncertain ODE

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Published in 2023 at "IEEE Transactions on Automatic Control"

DOI: 10.1109/tac.2021.3136771

Abstract: In this article, we address adaptive output-feedback boundary control of coupled hyperbolic partial differential equations (PDEs) with spatially varying coefficients and on a time-varying domain, whose uncontrolled boundary is coupled with a disturbed ordinary differential… read more here.

Keywords: coupled disturbed; control; adaptive control; control hyperbolic ... See more keywords