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Exact and approximate controllability for distributed parameter systems : a numerical approach / Roland Glowinski, Jacques-Louis Lions, Jiwen He.
- Format:
- Book
- Author/Creator:
- Glowinski, R., author.
- Lions, J.-L. (Jacques-Louis), 1928-2001, author.
- He, Jiwen, author.
- Series:
- Encyclopedia of mathematics and its applications ; v. 117.
- Encyclopedia of mathematics and its applications ; volume 117
- Language:
- English
- Subjects (All):
- Control theory.
- Distributed parameter systems.
- Differential equations, Partial--Numerical solutions.
- Differential equations, Partial.
- Physical Description:
- 1 online resource (xii, 458 pages) : digital, PDF file(s).
- Other Title:
- Exact & Approximate Controllability for Distributed Parameter Systems
- Place of Publication:
- Cambridge : Cambridge University Press, 2008.
- Language Note:
- English
- Summary:
- The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of use to more advanced practitioners.
- Contents:
- Diffusion models
- Distributed and pointwise control for linear diffusion equations
- Boundary control
- Control of the Stokes system
- Control of nonlinear diffusion systems
- Dynamic programming for linear diffusion equations
- Wave models
- Wave equations
- On the application of controllability methods to the solution of the Helmholtz equation at large wave numbers
- Other wave and vibration problems, coupled systems
- Flow control
- Optimal control of systems modelled by the Navier-Stokes equations : application to drag reduction.
- Notes:
- Title from publisher's bibliographic system (viewed on 05 Oct 2015).
- Includes bibliographical references (p. [430]-449) and indexes.
- ISBN:
- 1-139-88347-X
- 1-107-10168-9
- 1-107-10410-6
- 1-107-09607-3
- 1-107-08978-6
- 0-511-72159-5
- 1-107-09301-5
- OCLC:
- 776965739
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