Input-to-State Stability of Non-uniform Linear Hyperbolic Systems of Balance Laws via Boundary Feedback Control

Applied Mathematics & Optimization ◽

10.1007/s00245-020-09726-8 ◽

2020 ◽

Author(s):

Gediyon Y. Weldegiyorgis ◽

Mapundi K. Banda

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Balance Laws ◽

Boundary Feedback Control ◽

Boundary Feedback ◽

Systems Of Balance Laws

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Boundary Feedback Control of 2x2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis

IEEE Transactions on Automatic Control ◽

10.1109/tac.2021.3083564 ◽

2021 ◽

pp. 1-1

Author(s):

Timm Strecker ◽

Ole Morten Aamo ◽

Michael Cantoni

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Robustness Analysis ◽

Boundary Feedback Control ◽

Quasilinear Hyperbolic Systems ◽

Boundary Feedback

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Local Exponential Stabilization of Semi-Linear Hyperbolic Systems by Means of a Boundary Feedback Control

IEEE Control Systems Letters ◽

10.1109/lcsys.2017.2724141 ◽

2018 ◽

Vol 2 (1) ◽

pp. 55-60 ◽

Author(s):

Liguo Zhang ◽

Christophe Prieur ◽

Junfei Qiao

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Exponential Stabilization ◽

Boundary Feedback Control ◽

Boundary Feedback

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Numerical boundary feedback stabilisation of non-uniform hyperbolic systems of balance laws

International Journal of Control ◽

10.1080/00207179.2018.1509133 ◽

2018 ◽

Vol 93 (6) ◽

pp. 1428-1441

Author(s):

Mapundi K. Banda ◽

Gediyon Y. Weldegiyorgis

Keyword(s):

Hyperbolic Systems ◽

Balance Laws ◽

Boundary Feedback ◽

Systems Of Balance Laws ◽

Feedback Stabilisation

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Boundary feedback control of linear hyperbolic systems: Application to the Saint-Venant–Exner equations

10.1016/j.automatica.2017.11.028 ◽

2018 ◽

Vol 89 ◽

pp. 44-51 ◽

Author(s):

Christophe Prieur ◽

Joseph J. Winkin

Keyword(s):

Feedback Control ◽

Hyperbolic Systems ◽

Boundary Feedback Control ◽

Boundary Feedback

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Boundary feedback control and Lyapunov stability analysis for physical networks of 2×2 hyperbolic balance laws

2008 47th IEEE Conference on Decision and Control ◽

10.1109/cdc.2008.4738857 ◽

2008 ◽

Author(s):

Georges Bastin ◽

Jean-Michel Coron ◽

Brigitte d'Andrea-Novel

Keyword(s):

Stability Analysis ◽

Feedback Control ◽

Lyapunov Stability ◽

Balance Laws ◽

Boundary Feedback Control ◽

Boundary Feedback ◽

Hyperbolic Balance Laws ◽

Lyapunov Stability Analysis

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Local Proportional-Integral Boundary Feedback Stabilization for Quasilinear Hyperbolic Systems of Balance Laws

SIAM Journal on Control and Optimization ◽

10.1137/18m1214883 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2143-2170

Author(s):

Liguo Zhang ◽

Christophe Prieur ◽

Junfei Qiao

Keyword(s):

Hyperbolic Systems ◽

Feedback Stabilization ◽

Balance Laws ◽

Integral Boundary ◽

Quasilinear Hyperbolic Systems ◽

Proportional Integral ◽

Boundary Feedback ◽

Systems Of Balance Laws

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Stability of Boundary Feedback Control Based on Weighted Lyapunov Function in Networks of Open Channels

ACTA AUTOMATICA SINICA ◽

10.3724/sp.j.1004.2009.00097 ◽

2009 ◽

Vol 35 (1) ◽

pp. 97-102 ◽

Author(s):

Li-Hui CEN ◽

Yu-Geng XI

Keyword(s):

Feedback Control ◽

Lyapunov Function ◽

Open Channels ◽

Boundary Feedback Control ◽

Boundary Feedback

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Stability enhancement of flexible structures by nonlinear boundary-feedback control

Boundary Control and Boundary Variations - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0041908 ◽

2006 ◽

pp. 18-37 ◽

Author(s):

A. V. Balakrishnan

Keyword(s):

Feedback Control ◽

Nonlinear Boundary ◽

Flexible Structures ◽

Boundary Feedback Control ◽

Boundary Feedback ◽

Stability Enhancement ◽

Nonlinear Boundary Feedback

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Exponential stability of a kind of wave equation with boundary feedback control

Journal of Applied Mathematics and Computing ◽

10.1007/bf02832052 ◽

2006 ◽

Vol 22 (3) ◽

pp. 267-276 ◽

Author(s):

Jia Jun-guo ◽

Wang Mian-sen

Keyword(s):

Wave Equation ◽

Feedback Control ◽

Exponential Stability ◽

Boundary Feedback Control ◽

Boundary Feedback

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Convergence of Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_72 ◽

2010 ◽

pp. 675-682 ◽

Author(s):

M. L. Muñoz-Ruiz ◽

C. Parés ◽

M. J. Castro Díaz

Keyword(s):

Hyperbolic Systems ◽

Balance Laws ◽

Numerical Schemes ◽

Systems Of Balance Laws

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