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Exponential stability of networks of density-flow conservation laws under PI boundary control

  • Published:2013 Issue:26 Volume:46 Page:221-226
  • ISSN:1474-6670
  • Container-title:IFAC Proceedings Volumes
  • language:en
  • Short-container-title:IFAC Proceedings Volumes

Author:

Bastin Georges,Coron Jean-Michel

Publisher

Elsevier BV

Subject

General Medicine

Reference13 articles.

1. Spectral theory for nonconservative transmission line networks;Carlson;Networks and Heterogeneous Media,2011

2. Dissipative boundary conditions for one dimensional nonlinear hyperbolic systems;Coron;SIAM Journal of Control and Optimization,2008

3. Lyapunov exponential stability of linear hyperbolic systems of balance laws;Diagne;Automatica,2012

4. A. Drici. Boundary control with integral action for 2×2 hyperbolic systems of conservation laws. Technical report, UPMC, 2011.

5. K-J. Engel, M.K. Fijavz, R. Nagel, and E Sikolya. Vertex control of flows in networks. Networks and Heterogeneous Media, pages 709-722, 2008.

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1. Stabilization of chains of linear parabolic PDE–ODE cascades;Automatica;2023-02

2. A proof of Kirchhoff's first law for hyperbolic conservation laws on networks;Networks and Heterogeneous Media;2023

3. Stabilizing Output-Feedback Control Law for Hyperbolic Systems Using a Fredholm Transformation;IEEE Transactions on Automatic Control;2022-12

4. PI controllers for the general Saint-Venant equations;Journal de l’École polytechnique — Mathématiques;2022-10-05

5. Stabilization of the Linearized Water Tank System;Archive for Rational Mechanics and Analysis;2022-04-21
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