Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Well-Posed Linear Systems
  • Cited by 214
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      October 2009
      February 2005
      ISBN:
      9780511543197
      9780521825849
      DOI:
      https://doi.org/10.1017/CBO9780511543197
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      1.485kg, 794 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
      Series:
      Encyclopedia of Mathematics and its Applications (103)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
    Series:
    Encyclopedia of Mathematics and its Applications (103)
    Information

    Book description

    Many infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of non-well-posed systems induced by system nodes. The author shows how standard finite-dimensional results from systems theory can be extended to these more general classes of systems, and complements them with new results which have no finite-dimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.

    Reviews

    'What is new, even for most experts in this field, is the detailed treatment of generalised well-posed systems, so-called 'system nodes' … undoubtedly an impressive piece of work … fully deserving of its encyclopaedic pretensions … very well written, with tremendous care given to getting across both the basic ideas of the results and their most general versions … cited literature is incredibly comprehensive, and even most experts in the field will find some hidden gems in the bibliography.'

    Source: Bulletin of the London Mathematical Society Journal

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.