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Wednesday, April 29, 2020 | History

3 edition of Optimal control of differential and functional equations found in the catalog.

Optimal control of differential and functional equations

Jack Warga

Optimal control of differential and functional equations

  • 195 Want to read
  • 5 Currently reading

Published by Academic Press in New York .
Written in English

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

  • Edition Notes

    Bibliography: p. 517-521.

    Statement[by] J. Warga.
    Classifications
    LC ClassificationsQA402.3 .W37 1972
    The Physical Object
    Paginationxiii, 531 p.
    Number of Pages531
    ID Numbers
    Open LibraryOL5304711M
    ISBN 100127351507
    LC Control Number72087229

    The paper is devoted to the study of optimal control of Quadratic Optimal Control of Fractional stochastic differential Equation with application of Economy Mode with different types of fractional stochastic formula (ITO, Stratonovich), By using the Dynkin formula, Hamilton-Jacobi-Bellman (HJB) equation and the inverse HJB equation are : Sameer Qasim Hasan, Gaeth Ali Salum. Optimal Control of Delay Differential Equations. Ask Question Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question. Provide details and share your research! minimization problem on differential equations - optimal control. 0. Positioning problem optimal control. 2. An estimate for the solution of a certain functional-differential equation of neutral type. Nonlinear phenomena in mathematical sciences (Arlington, Tex., ), , Academic Press, New York-London, Chukwu, Ethelbert N. The time optimal control problem of linear neutral functional .


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Optimal control of differential and functional equations by Jack Warga Download PDF EPUB FB2

Optimal Control of Differential and Functional Equations presents a mathematical theory of deterministic optimal control, with emphasis on problems involving functional-integral equations and functional Edition: 1. Optimal Control of Differential and Functional Equations presents a mathematical theory of deterministic optimal control, with emphasis on problems involving functional-integral equations and functional restrictions.

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 Optimal control of differential and functional equations book of optimal solutions, necessary optimality conditions and adjoint equations, Optimal control of differential and functional equations book sufficient conditions, and main principles of selected numerical techniques.3/5(1).

Optimal Control and Partial Differential Equations - Innovations & Applications Hardcover – January 1, Topics include areas where professor Bensoussan has offered leading contributions, such as functional and numerical analysis, stochastic partial differential equations, nonlinear filtering and identification, dynamic programming Author: J.L.

Menaldi. Optimal control of differential and functional equations. New York, Academic Press, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: J Warga. A Property of the Legendre Differential Equation and Its Discretization SIAM Review (2 pages) Optimal Control of Differential and Functional Equations (J.

Warga) Related Databases. Web of Science You must be logged Author: Lamberto Cesari. optimal control of differential and functional equations j. warga department of mathematics northeastern university boston, massachusetts academic press new york and london 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. Delay and Functional Differential Equations and Their Applications provides information pertinent to the fundamental aspects of functional differential equations and its applications.

This book covers a variety of topics, including qualitative and geometric theory, control theory, Volterra equations, numerical methods, the theory of epidemics Book Edition: 1. Optimal Control Problems and Riccati Differential Equations Corneliu Boţan*, Silviu Florin Ostafi* * Department of Automatic Control, Technical Optimal control of differential and functional equations book of Iasi, Iasi, Romania (e-mail: [email protected], [email protected]) Abstract: The paper deals with linear quadratic (LQ) optimal problems with free and fixed-end Size: KB.

Optimal Control Problem  Functional Differential Equation  Nonempty Compact Subset  Lebesgue Measurable Function  Fundamental Matrix Solution  These keywords were added by machine and not by the authors.

This process is experimental and the keywords may Author: H. Banks, Marc Q. Optimal control of differential and functional equations book. 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, Optimal control of differential and functional equations book main principles of selected numerical techniques.

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 by: Book Description "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics.

Summary "Based on the International Conference on Optimal Control of Differential Equations held recently at Ohio University, Athens, this Festschrift to honor the sixty-fifth birthday of Constantin Corduneanu an outstanding researcher in differential and integral equations provides in-depth coverage of recent advances, applications, and open problems relevant to mathematics and physics.

Electronic books: Additional Physical Format: Print version: Warga, Jack, Optimal control of differential and functional equations. New York, Academic Press, (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: J Warga.

It is obtained by solving an optimal control problem where the objective function is the time to reach the final position and the ordinary differential equations are the dynamics of the : Matthias Gerdts.

Colonius, F., Optimality for periodic control of functional differential systems, Report 36 (), Mathematisches Institut der Universität Graz, Austria Google Scholar [4] Hale, J.K., Theory of Functional Differential Equations, Springer-Verlag, Author: Jin Fulin, Li Xunjing. In optimal control theory, after formulating a problem appropriate to the scenario, there are several basic problems: (a) to prove the existence of an optimal control, (b) to characterize the optimal control, (c) to prove the uniqueness of the control, (d) to compute the optimal control numerically, (e) to investigate how the optimal controlFile Size: KB.

An introduction to optimal control of partial differential equations, Part II Fredi Tröltzsch this concept does not yet fit to the needs of optimal control. Here, the test function must belong to W. 1;1 2 (Q). Later, an adjoint state must be inserted An introduction to optimal control of partial differential equations, Part II.

important area of contemporary applied mathematics. Optimal control problem is a mathematical programming problem involving a number of stages where each stage evolves from the previous stage in a prescribed manner.

In this paper, we are concerned with optimal control of delay differential equations whose costs functional are. Mathematics, an international, peer-reviewed Open Access journal. Dear Colleagues, Our aim is to publish very recent papers devoted to non-classical control problems and, in particular, control problems for degenerate differential equations in Banach spaces, generalizing known results concerning weak solutions (see the Carroll and Showalter approach).

An Optimal Control Technique for Solving Differential Equations. books on the subject [1]. By the optimal solution of the problem we obtain a piecewise-constant optimal control function. Then we show that the considered optimal control problem has a unique solution.

The performance index of a (FOCP) is considered as an integral function of both state and control variables, and the dynamic constraints are expressed by a Partial Fractional Differential Equation (PFDE) with variable-order and time delay.

The time horizon is by: 4. 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: Destination page number Search scope Search Text Search scope Search Text.

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).

We investigate optimal control of the advective coefficient in a class of parabolic partial differential equations, modeling a population with nonlinear growth.

This work is motivated by the question: Does movement toward a better resource environment benefit a population. Our objective functional is formulated with interpreting "benefit" as the total population size integrated over our finite Cited by: 7.

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 by: 2. Optimal Control Of Systems Governed By Partial Differential Equations book.

Read reviews from world’s largest community for readers. The development o Ratings: 0. Optimal Adaptive Control and Differential Games by Reinforcement Learning Principles Adaptive Control and Optimal Control methods. The book shows how ADP can be used to Convergence of approximate value function to solution of the Bellman equation 81File Size: 2MB.

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.

Stability theory for stochastic functional-differential and difference equations, Method of Lyapunov functionals construction, Optimal control of hereditary systems. Books. Shaikhet L.

Optimal control of stochastic difference Volterra equations. Springer, link. people will bene t greatly by learning to solve the optimal control prob-lems numerically.

Realizing such growing needs, books on optimal control put more weight on numerical methods. In retrospect, [1] was the rst and the \classic" book for studying the theory as well as many interesting cases (time-optimal, fuel-optimal and linear quadratic File Size: 1MB.

These notes give an introduction to the theory of optimal control of ordinary differen-tial equations, and to some related algorithmic questions. We put the emphasis on the question of well-posedness (or not) of a local minimum. For a system of nonlinear equations File Size: KB. This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems.

This class of problems contains, in. on the books [2, 3]. Optimal control in nite dimension Some basic concepts in optimal control theory can be illustrated very well in the context of nite-dimensional optimization. In particular, we do not have to deal with partial di erential equations and several aspects from functional analysis.

Finite-dimensional optimal control. We say that if there exists a continuously differentiable function V(t,x) satisfying the Bellman equation presented below, which is a partial differential equation, then the function u(t) which maximizes the right-hand side of the Bellman equation is an optimal control in the problem (1),(2).

“The book under review is a welcome addition to the increasing number of monographs in the theory of linear-controlled dynamical systems in Hilbert spaces and provides an inspired presentation of the tools of optimal control theory in solving time-optimal problems.

this book contains many ideas, methods and recent advances in the field, is quite well-written and well-organized and suits. We study linear-quadratic stochastic optimal control problems with bilinear state dependence where the underlying stochastic differential equation (SDE) has multiscale features.

We show that, in the same way in which the underlying dynamics can be well approximated by a reduced-order dynamics in the scale separation limit (using classical homogenization results), the associated optimal Author: Omar Kebiri, Lara Neureither, Carsten Hartmann.

pdf, motivating mainly by applications to optimal control of partial differential equations; see, e.g., the books {7, 9] and the references therein.

To the best of our knowledge, derivingCited by: 1.Optimal control theory is concerned with finding control functions that minimize cost functions for systems described download pdf differential equations.

The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial.A control problem includes a cost functional that is a function ebook 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.