Control Of Coupled Partial Differential Equations
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Optimal Control of Coupled Systems of Partial Differential Equations
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Author | : Karl Kunisch,Günter Leugering,Jürgen Sprekels,Fredi Tröltzsch |
Publsiher | : Birkhäuser |
Total Pages | : 345 |
Release | : 2010-11-16 |
Genre | : Mathematics |
ISBN | : 3764389257 |
Download Optimal Control of Coupled Systems of Partial Differential Equations Book in PDF, Epub and Kindle
Control of Coupled Partial Differential Equations
Author | : Karl Kunisch,Günter Leugering,Jürgen Sprekels,Fredi Tröltzsch |
Publsiher | : Birkhäuser |
Total Pages | : 384 |
Release | : 2009-09-03 |
Genre | : Mathematics |
ISBN | : 3764391464 |
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Mathematical Control of Coupled PDEs
Author | : Irena Lasiecka |
Publsiher | : SIAM |
Total Pages | : 248 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 9780898714869 |
Download Mathematical Control of Coupled PDEs Book in PDF, Epub and Kindle
Concentrates on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, solve three key problems.
Control of Coupled Partial Differential Equations
Author | : Karl Kunisch,Günter Leugering,Jürgen Sprekels,Fredi Tröltzsch |
Publsiher | : Springer Science & Business Media |
Total Pages | : 384 |
Release | : 2007-08-08 |
Genre | : Mathematics |
ISBN | : 9783764377212 |
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This volume contains selected contributions originating from the ‘Conference on Optimal Control of Coupled Systems of Partial Differential Equations’, held at the ‘Mathematisches Forschungsinstitut Oberwolfach’ in April 2005. With their articles, leading scientists cover a broad range of topics such as controllability, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micro-mechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more. The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing.
Optimal Control of Coupled Systems of Partial Differential Equations
Author | : Karl Kunisch,Günter Leugering,Jürgen Sprekels,Fredi Tröltzsch |
Publsiher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2009-12-03 |
Genre | : Mathematics |
ISBN | : 9783764389239 |
Download Optimal Control of Coupled Systems of Partial Differential Equations Book in PDF, Epub and Kindle
Contains contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in March 2008. This work covers a range of topics such as controllability, optimality systems, model-reduction techniques, and fluid-structure interactions.
Controllability of Partial Differential Equations Governed by Multiplicative Controls
Author | : Alexander Y. Khapalov |
Publsiher | : Springer |
Total Pages | : 296 |
Release | : 2010-05-19 |
Genre | : Mathematics |
ISBN | : 9783642124136 |
Download Controllability of Partial Differential Equations Governed by Multiplicative Controls Book in PDF, Epub and Kindle
This monograph addresses the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The methodology is illustrated with a variety of model equations.
Constrained Optimization and Optimal Control for Partial Differential Equations
Author | : Günter Leugering,Sebastian Engell,Andreas Griewank,Michael Hinze,Rolf Rannacher,Volker Schulz,Michael Ulbrich,Stefan Ulbrich |
Publsiher | : Springer Science & Business Media |
Total Pages | : 622 |
Release | : 2012-01-03 |
Genre | : Mathematics |
ISBN | : 9783034801331 |
Download Constrained Optimization and Optimal Control for Partial Differential Equations Book in PDF, Epub and Kindle
This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization.
Stabilization Optimal and Robust Control
Author | : Aziz Belmiloudi |
Publsiher | : Springer Science & Business Media |
Total Pages | : 509 |
Release | : 2008-08-17 |
Genre | : Technology & Engineering |
ISBN | : 9781848003446 |
Download Stabilization Optimal and Robust Control Book in PDF, Epub and Kindle
Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid mechanical, biological and materials scientific systems are laid out in detail. The combination of mathematical fundamentals with application of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists.