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Neural operators for PDE backstepping control of first-order hyperbolic PIDE with recycle and delay
Systems & control letters (Print), 2023The recently introduced DeepONet operator-learning framework for PDE control is extended from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class that involves delays on both the state and the system output or input.
Jie Qi, Jing Zhang, M. Krstić
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On Second-Order Parabolic and Hyperbolic Perturbations of a First-Order Hyperbolic System
Doklady Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zlotnik, A. A., Chetverushkin, B. N.
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On an optimal control problem involving first order hyperbolic systems with boundary controls
Numerical Functional Analysis and Optimization, 1982Z S Wu
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A backstepping boundary observer for a class of linear first-order hyperbolic systems
European Control Conference, 2013 International audienceWe investigate the boundary observer design prob- lem for a class of linear first-order hyperbolic systems on a finite space domain with spatially varying parameters. The system features one negative transport speed and an arbitrary
F. D. Meglio, M. Krstić, R. Vázquez
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Journal of Computational Physics, 2020
The paper devises high-order energy stable flux reconstruction method towards first-order hyperbolic linear advection-diffusion and nonlinear Navier-Stokes problems (HFR). The underlying idea is to take the advantages of high-order differential framework
Shuai Lou +4 more
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The paper devises high-order energy stable flux reconstruction method towards first-order hyperbolic linear advection-diffusion and nonlinear Navier-Stokes problems (HFR). The underlying idea is to take the advantages of high-order differential framework
Shuai Lou +4 more
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A first-order hyperbolic system approach for dispersion
Journal of Computational Physics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Mazaheri +2 more
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Inverse Problem for a First-Order Hyperbolic System with Memory
Differential Equations, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Durdiev, D. K., Turdiev, Kh. Kh.
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Decay rate of solutions to hyperbolic system of first order
Acta Mathematica Sinica, 1999Summary: In this paper we generalize global Sobolev inequality introduced by Klainerman in studying wave equation to the hyperbolic system case. We obtain several decay estimate of solutions to hyperbolic system of first order by different norms of initial data. Particularly, the result mentioned in Theorem 1.5 offers an optimal decay rate of solutions,
Chen, Shuxing, Zhou, Yi
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Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems
Numerical Algorithms, 2017This paper is devoted to the derivation of a digital quantum algorithm for the Cauchy problem for symmetric first-order linear hyperbolic systems, thanks to the reservoir technique.
F. Fillion-Gourdeau, E. Lorin
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Ukrainian Mathematical Journal, 2013
We examine the robustness of exponential dichotomies of boundary-value problems for general linear first-order one-dimensional hyperbolic systems. It is assumed that the boundary conditions guarantee an increase in the smoothness of solutions in a finite
I. Kmit, I. Kmit, L. Recke, V. Tkachenko
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We examine the robustness of exponential dichotomies of boundary-value problems for general linear first-order one-dimensional hyperbolic systems. It is assumed that the boundary conditions guarantee an increase in the smoothness of solutions in a finite
I. Kmit, I. Kmit, L. Recke, V. Tkachenko
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