Citation
Saurabh Amin, Falk Hante, Alexandre Bayen. "On stability of switched linear hyperbolic conservation laws with reflecting boundaries". Magnus Egerstedt and Bud Mishra, (eds.), 602-605, Hybrid Systems: Comp, Springer-Verlag, 2008.

Abstract
We consider stability of an infinite dimensional switching system, posed as a system of linear hyperbolic partial differential equations (PDEs) with reflecting boundaries, where the system parameters and the boundary conditions switch in time. Asymptotic stability of the solution for arbitrary switching is proved under commutativity of the advective velocity matrices and a joint spectral radius condition involving the boundary data.

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  Saurabh Amin, Falk Hante, Alexandre Bayen. <a
  href="http://chess.eecs.berkeley.edu/pubs/453.html"
  ><i>On stability of switched linear hyperbolic
  conservation laws with reflecting
  boundaries</i></a>, Magnus Egerstedt and Bud
  Mishra, (eds.), 602-605, Hybrid Systems: Comp,
  Springer-Verlag, 2008.

• Plain text

  Saurabh Amin, Falk Hante, Alexandre Bayen. "On
  stability of switched linear hyperbolic conservation laws
  with reflecting boundaries". Magnus Egerstedt and Bud
  Mishra, (eds.), 602-605, Hybrid Systems: Comp,
  Springer-Verlag, 2008.

• BibTeX

  @inbook{AminHanteBayen08_OnStabilityOfSwitchedLinearHyperbolicConservationLaws,
      author = {Saurabh Amin and Falk Hante and Alexandre Bayen},
      editor = {Magnus Egerstedt and Bud Mishra,},
      title = {On stability of switched linear hyperbolic
                conservation laws with reflecting boundaries},
      pages = {602-605},
      edition = {Hybrid Systems: Comp},
      publisher = {Springer-Verlag},
      year = {2008},
      abstract = {We consider stability of an infinite dimensional
                switching system, posed as a system of linear
                hyperbolic partial differential equations (PDEs)
                with reflecting boundaries, where the system
                parameters and the boundary conditions switch in
                time. Asymptotic stability of the solution for
                arbitrary switching is proved under commutativity
                of the advective velocity matrices and a joint
                spectral radius condition involving the boundary
                data.},
      URL = {http://chess.eecs.berkeley.edu/pubs/453.html}
  }
  

Posted by Saurabh Amin on 23 Jun 2008.
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