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A quadratic Lyapunov function for hyperbolic density–velocity systems with nonuniform steady states

  • Published:2017-06 Issue: Volume:104 Page:66-71
  • ISSN:0167-6911
  • Container-title:Systems & Control Letters
  • language:en
  • Short-container-title:Systems & Control Letters

Author:

Bastin GeorgesORCID,Coron Jean-Michel

Funder

Agence Nationale de la Recherche (ANR) Projet Blanc Finite4SoS

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Mechanical Engineering,General Computer Science,Control and Systems Engineering

Reference9 articles.

1. A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws;Coron;IEEE Trans. Automat. Control,2007

2. Dissipative boundary conditions for one dimensional nonlinear hyperbolic systems;Coron;SIAM J. Control Optim.,2008

3. Local exponential H2 stabilization of a 2 ×2 quasilinear hyperbolic system using backstepping;Coron;SIAM J. Control Optim.,2013

4. Stability and Boundary Stabilisation of 1-D Hyperbolic Systems;Bastin,2016

5. H2-stabilization of the isothermal Euler equations: a Lyapunov function approach;Gugat;Chinese Ann. Math. Ser. B,2012
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