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  3. Control Theory for Partial Differential Equations
  • Cited by 111
Publisher:
Cambridge University Press
Online publication date:
June 2013
Print publication year:
2000
Online ISBN:
9781107340848
DOI:
https://doi.org/10.1017/CBO9781107340848
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
Series:
Encyclopedia of Mathematics and its Applications (74)
Information

Book description

Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.

Reviews

Review of the hardback:‘This impressive volume is a superb achievement and will be a must for all those who are interested in the quadratic optimal control of parabolic PDEs and in general in the control of PDEs.’

A. Akutowicz Source: Zentralblatt MATH

Review of the hardback:‘… a comprehensive and up-to-date treatment …’.

Source: European Maths Society Journal

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