Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Author: Irena Lasiecka

Publisher: Cambridge University Press

ISBN: 0521434084

Category: Mathematics

Page: 678

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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.
Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems
Language: en
Pages: 678
Authors: Irena Lasiecka, Roberto Triggiani
Categories: Mathematics
Type: BOOK - Published: 2000-02-13 - Publisher: Cambridge University Press

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
Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems Over a Finite Time Horizon
Language: en
Pages: 458
Authors: Irena Lasiecka, Roberto Triggiani
Categories: Mathematics
Type: BOOK - Published: 2000-02-13 - Publisher: Cambridge University Press

Originally published in 2000, this is the second 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
Trends in Control Theory and Partial Differential Equations
Language: en
Pages: 276
Authors: Fatiha Alabau-Boussouira, Fabio Ancona, Alessio Porretta, Carlo Sinestrari
Categories: Mathematics
Type: BOOK - Published: 2019-07-04 - Publisher: Springer

This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and
Control Theory of Partial Differential Equations
Language: en
Pages: 416
Authors: Guenter Leugering, Oleg Imanuvilov, Bing-Yu Zhang, Roberto Triggiani
Categories: Mathematics
Type: BOOK - Published: 2005-05-27 - Publisher: CRC Press

The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids a
Recent Advances in Differential Equations and Control Theory
Language: en
Pages: 102
Authors: Concepción Muriel, Carmen Pérez-Martinez
Categories: Mathematics
Type: BOOK - Published: 2021-03-13 - Publisher: Springer Nature

This book collects the latest results and new trends in the application of mathematics to some problems in control theory, numerical simulation and differential equations. The work comprises the main results presented at a thematic minisymposium, part of the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), held