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Ritz's Method. Introduction into Optimal Control Problems. Example of Dynamic Production. Aerospace Example Part I.

Courses & Units

Aerospace Example Part II. Hamiltonian's Formulation. Pontryagin's Maximum Principle.

PMP examples. Introduction into Direct Methods. Direct Methods.

Submission history

Suitable Functional Spaces. Sobolev Spaces. Convexity and Lower Semicontinuity. Relaxation Theory.

Advances in Calculus of Variations

Variational Problems in Image Processing. Introduction to the Calculus of Variations. Dover Publications Inc. Aubert, P.


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Mathematical Problems in Image Processing. Partial Differential Equations and the Calculus of Variations.

calculus of variations

FR Mathematik. Zoek opleidingen. Toon opleidingen per faculteit. Over Ocasys.

Bibliographic Information

Calculus of Variations and Optimal Control Dit is een conceptversie. De vakomschrijving kan nog wijzigen, bekijk deze pagina op een later moment nog eens. The student is able to apply the reasoning of the calculus of variations to concrete examples, derive the Euler-Lagrange equations, and to derive minor extensions of the theory.

The student is able to solve optimal control problems through the use of the Minimum principle. The student is able to apply the reasoning of dynamic programming to optimal control problems. The student is able to solve linear quadratic optimal control problems. Based on a series of lectures given by I. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern.

Considerable attention is devoted to physical applications of variational methods, e. The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter.