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On Feedback Controls for Dynamic Networks of Strings and Beams and their Numerical Simulation

  • Günter Leugering
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)

Abstract

In these notes we want to present some control strategies for dynamic networks of strings and beams in those situations where the classical concepts of exact or approximate controllability fail. This is, in particular, the case for networks containing circuits. Generically, a residual motion settles in such circuits, even if all nodes are subject to controls. In those situations we resort to controls which direct the flux of energy. Using such controls in a network, we are able to steer the entire energy to preassigned parts of the structure. In practice these parts are more massive and can absorb energy more easily than the fragile elements. We also provide numerical evidence for the control strategies discussed in these notes. The material is related to joint work with J.E. Lagnese and E.G.P.G. Schmidt, and is essentially included [14].

1991 Mathematics Subject Classification

39C20 39B52 65M06 65M60 

Key words and phrases

Absorbing directing and nonlinear controls disappearing solutions numerical simulation 

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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • Günter Leugering
    • 1
  1. 1.Mathematisches InstitutUniversität BayreuthBayreuthGermany

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