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Optimal Control of Nonsmooth Distributed Parameter Systems (Paperback, 1990 ed.)
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Optimal Control of Nonsmooth Distributed Parameter Systems (Paperback, 1990 ed.)
Series: Lecture Notes in Mathematics, 1459
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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.
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