Meccanica

, Volume 39, Issue 6, pp 531–546 | Cite as

Viscoelastic Solids of Exponential Type. I. Minimal Representations and Controllability

  • Mauro Fabrizio
  • Claudio Giorgi
  • Maria Grazia Naso
Article

Abstract

Certain results about state–space representation, minimality and controllability of a linear viscoelastic solid element of exponential type (VSET) are presented. In particular, we prove that VSET can be viewed as materials with finite memory. This is a first part of a plan which will be continued in a next paper, by studying free energies, stability and attractors in viscoelasticity of exponential type.

Keywords

Viscoelasticity  Continuum Mechanics  Controllability 

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Copyright information

© Kluwer Academic Publishers 2005

Authors and Affiliations

  • Mauro Fabrizio
    • 1
  • Claudio Giorgi
    • 2
  • Maria Grazia Naso
    • 2
  1. 1.Dipartimento di Matematica, Facoltà di IngegneriaUniversità di BolognaBolognaItalia
  2. 2.Dipartimento di Matematica, Facoltà di IngegneriaUniversità di BresciaBresciaItalia

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