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  4. Stabilization of port-Hamiltonian systems with discontinuous energy densities
 
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2022
Journal Article
Titel

Stabilization of port-Hamiltonian systems with discontinuous energy densities

Abstract
We establish an exponential stabilization result for linear port-Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we have only to require the energy density of the system to be of bounded variation. In particular, and in contrast to the previously known stabilization results, our result applies to vibrating strings or beams with jumps in their mass density and their modulus of elasticity.
Author(s)
Schmid, Jochen
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Zeitschrift
Evolution equations and control theory : EECT
Funder
Deutsche Forschungsgemeinschaft DFG
Thumbnail Image
DOI
10.3934/eect.2021063
Language
English
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Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Tags
  • stabilization of port-Hamiltonian systems

  • exponential stability

  • energy densities of bounded variation

  • static linear boundary control

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