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Modeling and Controllability of Interconnected Elastic Membranes

  • J. E. Lagnese
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)

Abstract

A collection of systems of partial differential equations, each of which models the nonlinear deformation of an elastic membrane, is considered. The state variables of the various membranes are required to satisfy certain “geometric” and “dynamic” coupling conditions which arise from continuity and balance law considerations. The resulting coupled systems then describe the nonlinear deformations of a system of interconnected membranes. The question of exact controllability of the linearization of such a network is discussed, where the controls are in the forms of forces applied on the outer edges and in the junction regions (where membranes are connected to one another).

1991 Mathematics Subject Classification

35L20 93B05 93C20 

Key words and phrases

Elastic membranes controllability junction conditions 

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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • J. E. Lagnese
    • 1
  1. 1.Department of MathematicsGeorgetown UnivesityUSA

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