Well-Posed Linear Systems (Encyclopedia of Mathematics and its Applications, Series Number 103) - Hardcover

Staffans, Olof

Hardcover

ISBN 10: 0521825849 ISBN 13: 9780521825849

Publisher: Cambridge University Press, 2005

Synopsis

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.

About this title

Book Description

Much of the material that the author presents is original and many results have never appeared in book form before. A comprehensive bibliography completes this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.

Review

"The book is well and carefully written. The material is self-contained and all the proofs are provided within the text. ...presents a ... complete treatment of well-posed linear control systems."
Mathematical Reviews

Edition details

• Publisher: Cambridge University Press
• Publication date: 2005
• Language: English
• ISBN 10: 0521825849
• ISBN 13: 9780521825849
• Binding: Hardcover
• Number of pages: 794