Last edited by Brarn
Sunday, July 26, 2020 | History

4 edition of Optimal control of partial differential equations found in the catalog.

Optimal control of partial differential equations

theory, methods, and applications

by Fredi Tröltzsch

  • 109 Want to read
  • 16 Currently reading

Published by American Mathematical Society in Providence, R.I .
Written in English

    Subjects:
  • Control theory,
  • Differential equations, Partial,
  • Mathematical optimization

  • Edition Notes

    StatementFredi Tröltzsch.
    SeriesGraduate studies in mathematics : -- v. 112
    Classifications
    LC ClassificationsQA402.3 .T71913 2010
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL23735817M
    ISBN 109780821849040
    LC Control Number2009037756

      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 Format: Hardcover. General method. Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. A control problem includes a cost functional that is a function of state and control variables. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost function.

    We consider the problem of controlling an ordinary differential equation, subject to positive switching costs, and show in particular that the value functions form the “viscosity solution” (cf. [6], [7]) of the dynamic programming quasi-variational inequalities. This interpretation allows for a rigorous application of various dynamic programming by: Format: Book; ISBN: ; LOC call number: QAL; Published: Berlin, New York, Springer-Verlag,

    The topic of this thesis is stability and sensitivity analysis in optimal control of partial di erential equations. Stability refers to the continuous behavior of optimal solutions under perturbations of the problem data, while sensitivity indicates a di erentiable dependence. This thesis is . In addition, the authors introduce the optimal control of discrete systems and of partial differential equations (PDEs). Featuring a user-friendly interface, the book contains fourteen interactive sections of various applications, including immunology and epidemic disease models, management decisions in harvesting, and resource allocation models.


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Optimal control of partial differential equations by Fredi Tröltzsch Download PDF EPUB FB2

This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques.3/5(1).

This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques.

The purpose of the Conference on Optimal Control of Partial Differential Equations was to bring together leading experts in this field and to exchange ideas and information about recent advances in control theory connected with partial differential equations.

The development of a theory of optimal control (deterministic) requires the following initial data: (i) a control u belonging to some set ilIi ad (the set of 'admissible controls') which is at our disposition, (ii) for a given control u, the state y(u) of the system which is to be controlled is given by the solution of an equation (*) Ay(u)=given function ofu where A is an operator (assumed Brand: Springer-Verlag Berlin Heidelberg.

Optimal Control of Partial Differential Equations: Theory, Methods, and Applications - Ebook written by Fredi Tröltzsch. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Optimal Control of Partial Differential Equations: Theory, Methods, and Applications.5/5(1).

Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics Book ) - Kindle edition by Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich.

Download it once and read it on your Kindle device, PC, phones or : $ A comprehensive monograph on the subject, Optimal Control of Partial Differential Equations on Reticulated Domains is intended to address some of the obstacles that face researchers today, particularly with regard to multi-scale engineering applications involving hierarchies of grid-like domains.

Bringing original results together with others. 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 Optimization with PDE-constraints which is active since. Order Optimal Control and Partial Differential Equations – Innovations & Applications ISBN @ € Qty: This volume contains more than sixty invited papers of international wellknown scientists in the fields where Alain Bensoussan's contributions have been particularly important: filtering and control of stochastic systems, variationnal.

optimal control problems, SIAM J. Control Optim. 37 (), – [Bit75] L. Bittner, On optimal control of processes governed by abstract functional, integral and hyperbolic differential equations,e Size: KB. Optimization, Optimal Control and Partial Differential Equations: First Franco-Romanian Conference, Iasi, September(International Series of Numerical Mathematics) by Barbu, V.; Bonnans, J.

Optimal Control Of Systems Governed By Partial Differential Equations book. Read reviews from world’s largest community for readers. The development o Ratings: 0.

The text also presents general optimal control problems, optimal control of ordinary differential equations, and different types of functional-integral equations.

The book discusses control problems defined by equations in Banach spaces, the convex cost functionals, and the weak necessary conditions for an original minimum. Get this from a library.

Optimal control of partial differential equations: theory, methods, and applications. [Fredi Tröltzsch] -- "Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in.

In this chapter, we present an introduction to the optimal control of partial differential equations. After explaining what an optimal control problem is and the goals of the analysis of these.

: Optimal Control of Partial Differential Equations (Graduate Studies in Mathematics) () by Fredi Troltzsch and a great selection of similar New, Used and Collectible Books available now at great prices/5(3). I was curious to learn about Optimal Control (the theory that involves, bang-bang, Potryagin's Maximum Principle etc.) but any article that I start off with, mentions the following: "Consider a control system of the form " and then goes on to defining.

Optimal control of systems governed by partial differential equations. [J -L Lions] Home. WorldCat Home About WorldCat Help. Search. Search Optimal control of systems governed by partial differential equations. Berlin, New York, Springer-Verlag.

An introduction to optimal control of partial differential equations, Part II Fredi Tröltzsch Summer School on Applied Analysis Chemnitz, September Fredi Tröltzsch (TU Berlin) Optimal Control September 1 / Destination page number Search scope Search Text Search scope Search Text.

Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland.

The purpose of this conference is to examine the control theory of partial differential equations and its application.Our work is devoted to a class of optimal control problems of parabolic partial differential equations.

Because of the partial differential equations constraints, it is rather difficult to solve.Optimal Control of Systems Governed by Partial Differential Equations | Jacques Louis Lions | download | B–OK.

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