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Saturday, May 16, 2020 | History

1 edition of Optimal control, differential equations, and smooth optimization found in the catalog.

Optimal control, differential equations, and smooth optimization

Optimal control, differential equations, and smooth optimization

collected papers in honor of seventieth birthday of corresponding member of the Russian Academy of Sciences Revaz Valerianovich Gamkrelidze.

  • 117 Want to read
  • 15 Currently reading

Published by Maik Nauka/Interperiodica Pub. in Moscow, Russia .
Written in English

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

  • Edition Notes

    SeriesProceedings of the Steklov Institute of Mathematics -- v. 220., Trudy Matematicheskogo instituta imeni V.A. Steklova -- no. 220.
    ContributionsGamkrelidze, R. V.
    The Physical Object
    Pagination252 p. :
    Number of Pages252
    ID Numbers
    Open LibraryOL15499695M

      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).   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 Edition: 1.

    Optimization of Differential-Algebraic Equation Systems L. T. Biegler • Direct - Sensitivity Equations • Adjoint Equations III Optimal Control Problems - Optimality Conditions - Model Algorithms • Sequential Methods • Multiple Shooting • Indirect Methods IV Simultaneous Solution Strategies Batch Process Optimization. 9 F exit File Size: 4MB. Browse other questions tagged ordinary-differential-equations optimization control-theory or ask your own question. Featured on Meta Meta escalation/response process update (March-April .

    Optimal control problem We begin by describing, very informally and in general terms, the class of optimal control problems that we want to eventually be able to solve. The goal of this brief motivational discussion is to fix the basic concepts and terminology without worrying about technical details. This paper is concerned with an optimal control problem governed by a non-smooth semilinear elliptic equation. We show that the control-to-state mapping is directionally differentiable and precisely characterize its Bouligand sub-differential. By means of a suitable regularization, first-order optimality conditions including an adjoint equation are derived and afterwards interpreted in light Cited by:


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Optimal control, differential equations, and smooth optimization 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.

Get this from a library. Optimal control, differential equations, and smooth optimization: collected papers in honor of seventieth birthday of corresponding member of the Russian Academy of Sciences Revaz Valerianovich Gamkrelidze.

[R V Gamkrelidze;]. And smooth optimization book 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 The book is organized in sections which cover.

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.

These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October This book is an excellent resource for students and researchers in control or optimization of differential equations.

Readers interested in theory or in numerical algorithms will find this book equally useful. 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 : Hardcover.

Optimization, Optimal Control and Partial Differential Equations First Franco-Romanian Conference, Iasi, September 7–11, or Almost Periodical in Mechanics and Extensions Hyperbolic Non Linear Partial Differential Equations.

Evolution differential equation mechanics optimal control optimization partial differential equation. Mathematical optimization (alternatively spelt optimisation) or mathematical programming is the selection of a best element (with regard to some criterion) from some set of available alternatives.

Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of.

Optimization with differential equations The discrete problem The Discrete Problem The discrete problem can be obtained using finite differences or finite elements (FEM). minY,U 1 2 PN i=1{(yi −yd,i) 2 +γu2 i} subject to AhY = BhU and Ua ≤ U ≤ Ub, Discrete objective functional Discretized differential equation Discrete inequality File Size: KB.

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. Optimal control of ordinary differential equations1 J.

Fr´ed´eric Bonnans2 J 1Lecture notes, CIMPA School on Optimization and Control, Castro Urdiales, August 28 - September 8, Revised version, J 2INRIA-Saclay and Centre de Math´ematiques Appliqu´ees (CMAP), Ecole Polytechnique, Palaiseau, Size: KB.

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. 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.

Get this from a library. Control and optimization with PDE constraints. [Kristian Bredies; Christian Clason; K Kunisch; Gregory von Winckel;] -- Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs).

The desire to understand and influence these systems naturally leads to considering. This book provides a direct and comprehensive introduction to theoretical and numerical concepts in the emerging field of optimal control of partial differential equations (PDEs) under uncertainty.

The main objective of the book is to offer graduate students and researchers a smooth transition from optimal control of deterministic PDEs to. Optimal control theory is an outcome of the calculus of variations, with a history stretching back over years, but interest in it really mushroomed only with the advent of the computer, launched by the spectacular successes of optimal trajectory prediction in aerospace applications in the early s.

() Optimized Schwarz Methods for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations.

Journal of Scientific Computing() A note on block diagonal and block triangular preconditioners for complex symmetric linear by:   Optimization Calculus - Fence Problems, Cylinder, Volume of Box, Minimum Distance & Norman Window - Duration: The Organic Chemistry Tutorviews 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/5(3).

In this note, we consider an optimal control problem associated to a differential equation driven by a H\"{o}lder continuous function g of index greater than 1/2. We split our study in two cases.Optimal Control Theory Version By Lawrence C.

Evans Department of Mathematics ∈ A. Such a control α∗() is called optimal. This task presents us with these mathematical issues: (i) Does an optimal control exist? (ii) How can we characterize an optimal control mathematically?

The next example is from Chapter 2 of the book Caste File Size: KB.An Optimal Control Technique for Solving Differential Equations. Differential Equations, Numerical methods, Optimal Control, successful within the framework of Hydrothermal Optimization [3.