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  3. Exact and Approximate Controllability for Distributed Parameter Systems
  • Cited by 116
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2010
      March 2008
      ISBN:
      9780511721595
      9780521885720
      DOI:
      https://doi.org/10.1017/CBO9780511721595
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.816kg, 470 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Computational Science, Numerical Analysis and Computational Science
      Series:
      Encyclopedia of Mathematics and its Applications (117)
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    Subjects:
    Mathematics (general), Mathematics, Computational Science, Numerical Analysis and Computational Science
    Series:
    Encyclopedia of Mathematics and its Applications (117)
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    Book description

    The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners.

    Reviews

    "The book definitely has the perfume of those that Lions wrote during his prolific career. My congratulations to his two coworkers for having completed this task that reminded incomplete when he passed away in 2001. This book definitely fills a gap in the existing in literature on control and numerics of PDS, and I am sure it will influence future research in this area."
    Enrique Zuazua, Mathematical Reviews

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