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E-raamat: Calculus of Variations and Optimal Control: Technion 1998 [Taylor & Francis e-raamat]

(University of Newcastle upon Tyne, UK), ,
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The 14 refereed and revised if necessary presentations focus on optimal control. They discuss such topics as variational limits constrained by measure-valued multifunctions, Hamilton-Dacobi equations for infinite horizon control problems with state constraints, existence theorems in non-convex optimal control, and problems with delayed and shifted controls. They comprise the second of two volumes the conference produced. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

The calculus of variations is a classical area of mathematical analysis-300 years old-yet its myriad applications in science and technology continue to hold great interest and keep it an active area of research. These two volumes contain the refereed proceedings of the international conference on Calculus of Variations and Related Topics held at the Technion-Israel Institute of Technology in March 1998. The conference commemorated 300 years of work in the field and brought together many of its leading experts.
The papers in the first volume focus on critical point theory and differential equations. The other volume deals with variational aspects of optimal control. Together they provide a unique opportunity to review the state-of-the-art of the calculus of variations, as presented by an international panel of masters in the field.
Preface Variational limits constrained by measure-valued multifunctions 1(23) Z Artstein New fundamentals of Young measure convergence 24(25) E J Balder A condition of Legendre type for optimal control problems, linear in the control 49(13) A V Dmitruk A A Milyutin A characterization of Lipschitzian stability in optimal control 62(15) A L Dontchev K Malanowski Some remarks on the time optimal control problem in infinite dimension 77(20) H O Fattorini Hamilton--Jacobi equations for infinite horizon control problems with state constraints 97(20) H Frankowska S Plaskacz Limits of control problems with weakly converging nonlocal input operators 117(24) L Freddi Heavy balls minimizing convex function in conditional average 141(18) V Kaminsky Calculus of variations and optimal control 159(14) A A Milyutin Existence theorems in nonconvex optimal control 173(25) B S Mordukhovich Second-order conditions for broken extremal 198(19) N P Osmolovskii Critical points in relaxed deposit problems 217(20) S Pickenhain M Wagner Convex locally compact extensions of Lebesgue spaces and their applications 237(14) T Roubicek Problems with delayed and shifted controls 251 J Warga
Alexander Ioffe (Author) Simeon Reich (Author) I Shafrir (Author)