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Exact and Approximate Controllability for Distributed Parameter Systems
(Englisch)
Glowinski, Roland & Lions, Jacques-Louis & He, Jiwen

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Produktbeschreibung

One of the very few books combining a thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically. The approach taken makes it accessible to graduate students and researchers in applied and computational mathematics, engineering and physics.

Über den Autor



Roland Glowinski is Cullen Professor of Mathematics at the University of Houston and Emeritus Professor at Laboratoire J. L. Lions, University P. and M. Curie, Paris. He is a Member of the French National Academy of Sciences and in 2004 won the Von Karman prize from the Society for Industrial and Applied Mathematics. He has written over 300 research papers and this is his 3rd book.


Inhaltsverzeichnis



Preface; Introduction; Part I. Diffusion Models: 1. Distributed and point-wise control for linear diffusion equations; 2. Boundary control; 3. Control of the Stokes system; 4. Control of nonlinear diffusion systems; 5. Dynamic programming for linear diffusion equations; Part II. Wave Models: 6. Wave equations; 7. Helmholtz equation; 8. Coupled systems; Part III. Flow Control: 9. Optimal control of Navier-Stokes equations: drag reduction; Epilogue; Further acknowledgements; References.


Klappentext



A thorough mathematical analysis of controllability problems with a detailed investigation of methods for solving them numerically.



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