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Author : Irena Lasiecka
Publisher :
Page : pages
File Size : 16,3 MB
Release : 2000
Category : Control theory
ISBN :
Author : Irena Lasiecka
Publisher :
Page : pages
File Size : 25,40 MB
Release : 2013-08-13
Category :
ISBN : 9781299749214
First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.
Author : Irena Lasiecka
Publisher : Cambridge University Press
Page : 678 pages
File Size : 44,37 MB
Release : 2000-02-13
Category : Mathematics
ISBN : 9780521434089
First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.
Author : Irena Lasiecka
Publisher :
Page : pages
File Size : 40,46 MB
Release : 2000
Category :
ISBN : 9781139886437
Author : Irena Lasiecka
Publisher : Cambridge University Press
Page : 458 pages
File Size : 10,41 MB
Release : 2000-02-13
Category : Mathematics
ISBN : 9780521584012
Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.
Author : Guenter Leugering
Publisher : Chapman and Hall/CRC
Page : 416 pages
File Size : 38,66 MB
Release : 2005-05-27
Category : Mathematics
ISBN : 9780824725464
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 and elastic structures, and fluid dynamics and the new challenges that they present. Other control theoretic problems include parabolic systems, dynamical Lame systems, linear and nonlinear hyperbolic equations, and pseudo-differential operators on a manifold. This is a valuable tool authored by international specialists in the field.
Author : Fatiha Alabau-Boussouira
Publisher : Springer
Page : 276 pages
File Size : 48,39 MB
Release : 2019-07-04
Category : Mathematics
ISBN : 3030179494
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 stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.
Author : Irena Lasiecka
Publisher : Cambridge University Press
Page : 672 pages
File Size : 44,40 MB
Release : 2000-02-13
Category : Mathematics
ISBN : 9780521434089
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
Publisher :
Page : pages
File Size : 28,82 MB
Release : 2014-02-20
Category :
ISBN : 9781299748927
Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.
Author : Irena Lasiecka
Publisher : Cambridge University Press
Page : 0 pages
File Size : 25,76 MB
Release : 2010-11-25
Category : Mathematics
ISBN : 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.