Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation ... and its Applications, Series Number 75) - Hardcover

Lasiecka, Irena; Triggiani, Roberto

Hardcover

ISBN 10: 0521584019 ISBN 13: 9780521584012

Publisher: Cambridge University Press, 2000

Synopsis

Volume II focuses on the optimal control problem over a finite time interval for hyperbolic dynamical systems. The chapters consider some abstract models, each motivated by a particular canonical hyperbolic dynamics, and present numerous new results.

About this title

Book Description:

This is the second volume of a comprehensive and up-to-date two-volume treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Emphasis is placed on boundary/point control and observation. The abstract, unifying treatment is illustrated with many concrete examples. Volume 2 presents the optimal control problem over a finite time interval for hyperbolic dynamical systems, including many 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.

Review:

Review of the hardback: 'This excellent work will be a key reference for all of those who are interested in the quadratic optimal control of hyperbolic partial differential equations (PDEs) and in general in the control of PDEs.' A. Akutowicz, Zentralblatt für Mathematik

Review of the hardback: 'The reader will find much important information on various aspects of semigroup theory and on the regularity of solutions of hyperbolic equations.' EMS Newsletter

About this edition

• Publisher: Cambridge University Press
• Publication date: 2000
• ISBN 10: 0521584019
• ISBN 13: 9780521584012
• Binding: Hardcover
• Edition number: 1
• Number of pages: 452