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Control and Stabilization of Interactive Structures

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Systems and Control in the Twenty-First Century

Part of the book series: Systems & Control: Foundations & Applications ((PSCT,volume 22))

Abstract

Questions related to stabilizability and control of interactive structures, which often arise in the context of the so called “smart materials technology,” have attracted considerable attention in recent years. These models are governed by systems of coupled PDE equations with prescribed transmission conditions. The equations involved are, typically, combinations of parabolic and hyperbolic dynamics with boundary/point controls. Specific examples include: thermoelastic plates reinforced with shape memory fibers, structural acoustic models with piezoceramic actuators, electromagnetic structures with piezoelectric sensors/actuators, etc. In this paper, the emphasis is placed on the mathematical theory which describes-predicts the dynamic response of the structures subject to control actions. The mathematical interest/challenge in studying this kind of model is precisely the effect of coupling, the “mixing” of two different types of dynamics which, in turn, may often produce unexpected effects affecting the entire structure, without being valid for each element separately.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Virginia, 22903, Charlottesville, Virginia, USA

    I. Lasiecka

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  1. I. Lasiecka
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Editor information

Editors and Affiliations

  1. School of Engineering and Applied Science, Washington University, 63130-4899, St. Louis, MO, USA

    Christopher I. Byrnes

  2. Dept. of Mathematical Sciences, Northern Illinois University, 60115, DeKalb, IL, USA

    Biswa N. Datta

  3. Dept. of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA

    Clyde F. Martin  & David S. Gilliam  & 

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© 1997 Springer Science+Business Media New York

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Lasiecka, I. (1997). Control and Stabilization of Interactive Structures. In: Byrnes, C.I., Datta, B.N., Martin, C.F., Gilliam, D.S. (eds) Systems and Control in the Twenty-First Century. Systems & Control: Foundations & Applications, vol 22. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-4120-1_13

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  • DOI: https://doi.org/10.1007/978-1-4612-4120-1_13

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-8662-2

  • Online ISBN: 978-1-4612-4120-1

  • eBook Packages: Springer Book Archive

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