Optimal Control of Nonsmooth Distributed Parameter Systems

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...

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Bibliographic Details
Main Author: Tiba, Dan
Format: Book
Language:English
Subjects:
Analysis
Calculus of Variations and Optimal Control
Optimization
Global analysis (Mathematics)
Mathematical optimization
Mathematical optimization-Computer programs
Mathematics
Mathematics and Statistics
Systems theory
Systems Theory, Control
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Summary: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.
ISSN:0075-8434
1617-9692
DOI:10.1007/BFb0085564