Optimal control of nonsmooth distributed parameter systems
Author(s)
Bibliographic Information
Optimal control of nonsmooth distributed parameter systems
(Lecture notes in mathematics, 1459)
Springer-Verlag, c1990
- : gw
- : us
Available at / 90 libraries
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Library & Science Information Center, Osaka Prefecture University
: gwNDC8:410.8||||10009594818
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||14599102037S
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Etchujima library, Tokyo University of Marine Science and Technology自然
Germany410.8||L 1-1459171354
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/T4322070181146
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Note
Bibliography: p. [152]-159
Includes index
Description and Table of Contents
Description
The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.
Table of Contents
Elements of nonlinear analysis.- Semilinear equations.- Variational inequalities.- Free boundary problems.
by "Nielsen BookData"