Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstepping Approach-Reference-Cited by-同舟云学术

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Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstepping Approach

Published:2021-01 Issue:3 Volume:59 Page:2147-2173
ISSN:0363-0129
Container-title:SIAM Journal on Control and Optimization
language:en
Short-container-title:SIAM J. Control Optim.

Author:

Chowdhury Shirshendu^ORCID,Dutta Rajib,Majumdar Subrata

Funder

Department of Atomic Energy, Government of India

Inspire Foundation

National Board for Higher Mathematics

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Control and Optimization

Link

https://epubs.siam.org/doi/pdf/10.1137/20M1348893

Reference59 articles.

1. Recent results on the controllability of linear coupled parabolic problems: A survey

2. Boundary stabilizability of the linearized viscous Saint-Venant system

3. Infinite Dimensional Backstepping-Style Feedback Transformations for a Heat Equation with an Arbitrary Level of Instability

4. Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model

5. On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems

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1. Local Exponential Stabilization of Rogers–McCulloch and FitzHugh–Nagumo Equations by the Method of Backstepping;ESAIM: Control, Optimisation and Calculus of Variations;2024

2. The strong stabilization of a 1-D conservative wave equation by boundary displacement only;Journal of Process Control;2023-09

3. Asymptotic behavior of the linearized compressible barotropic Navier‐Stokes system with a time varying delay term in the boundary or internal feedback;Mathematical Methods in the Applied Sciences;2023-06-27

4. Output Feedback Stabilization for a 1-D Conservative Wave Equation with General Corrupted Boundary Observation;Engineering;2022

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