Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories (Paperback) (ISBN-13: 9780521155670)

This is the first volume of a comprehensive and up-to-date 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. The authors describe both continuous theory and numerical approximation. They use an abstract space, operator theoretic approach, based on semigroups methods and 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 I includes the abstract parabolic theory (continuous theory and numerical approximation theory) for the finite and infinite cases and corresponding PDE illustrations, and presents numerous new 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.

Author: Irena Lasiecka, Roberto Triggiani
ISBN-10: 0521155673
ISBN-13: 9780521155670
Publisher: Cambridge University Press
Language: English
Published: 11/25/2010
Pages: 672
Format: Paperback
Weight: 2.04lbs
Size: 9.21h x 6.14w x 1.35d