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Monday, February 17, 2020 | History

5 edition of Optimal control of systems governed by partial differential equations found in the catalog.

Optimal control of systems governed by partial differential equations

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Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Control theory,
  • Differential equations, Partial

  • Edition Notes

    Statement[by] J. L. Lions. Translated by S. K. Mitter.
    SeriesDie Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen,, Bd. 170, Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ;, Bd. 170.
    Classifications
    LC ClassificationsQA402.3 .L513
    The Physical Object
    Paginationxi, 396 p.
    Number of Pages396
    ID Numbers
    Open LibraryOL4766167M
    ISBN 103540051155
    LC Control Number78113638

    Function Spaces on?. Control theory, however, injects an active mode of synthesis in the study of differential equations: it seeks to influence their dynamical evolution by selecting and synthesizing suitable data input functions or control functions from within a preassigned class, to achieve a predetermined desired outcome or performance. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. General Results. Synopsis This book presents cutting-edge contributions in the areas of control theory and partial differential equations.

    ChueshovMonograph Series, Springer Verlag, Distributed Control, Distributed Observation. University of Memphis, where Irena is currently teaching. Observation of the Final State.

    A "Controllability-Like" Problem. Time Optimal Control. Connections with the Hamilton-Jacobi Theory. Control of Systems Governed by Evolution Inequalities.


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Optimal control of systems governed by partial differential equations by Jacques Louis Lions Download PDF Ebook

University of Memphis, where Irena is currently teaching. However, all lectures, exercises and the seminars are also open and suited for all students of mathematical curricula from their 5th semester on. A General Result.

Nonlinear Optimal Control Theory

Pointwise Observation of the State. Various Remarks. Convexity of the Set of Solutions. Case ii. Case of the Dirichlet Problem. Variational Inequalities. The Finite Dimensional Case; Approximation. Areas of Study in Applied Mathematics[ edit ] Optimization[ edit ] Optimization is the mathematical practice of finding the maximum or minimum values for a specific function.

A "Controllability-Like" Problem. She states, " The classical viewpoint taken in the study of differential equations consisted of the passive analysis of the evolution properties displayed by a specific equation, or a class of equations, in response to given data.

Subspaces of Hm? Control of Systems Governed by Unilateral Problems. Boundary Control. Immediate Properties. I and II with R. Bang-Bang Theorem. Controllability and Uniqueness. Although numerical methods will not be in the main focus of the lecture course, some main algorithmic ideas of numerical concepts will be described.

Without doubt Lion's book [2] is still the standard for optimal control problems with linear equations and convex functionals.

Optimal Control of Systems Governed by Partial Differential Equations

The Theory of Consistent Approximations [22] provides conditions under which solutions to a series of increasingly accurate discretized optimal control problem converge to the solution of the original, continuous-time problem.

Problem Statement. 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.Optimal Control of Systems Governed by Partial Differential Equations Book Published Berlin, New York, Springer-Verlag, Language English French (also in) Uniform Title Contrôle Optimal de Systèmes Gouvernés Par des Équations Aux Dérivées Partielles English Optimal control of systems governed by partial differential equations.

In this contribution several optimal control problems are mathematically formulated and analyzed for a nonlinear beam which was introduced in by David Y. Gao.

The beam model is given by a static nonlinear fourth-order differential equation with some boundary conditions. The beam is here subjected to a vertical load and possibly to an axial tension load as tjarrodbonta.com by: 2. Apr 20,  · This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation.

Constrained Optimization and Optimal Control for Partial Differential Equations

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.Sometimes these problems have been studied as state pdf optimal control problems governed by elliptic differential equations, the control being a parameter that appears in the coefficients.General method.

Optimal control deals with the problem of finding a control law for a given system such download pdf 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.Get this from a library!

Optimal control of systems governed by partial differential equations. [Jacques-Louis Lions].