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- catalog abstract "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.".
- catalog contributor b3058287.
- catalog created "c1990.".
- catalog date "1990".
- catalog date "c1990.".
- catalog dateCopyrighted "c1990.".
- catalog description "Includes bibliographical references.".
- catalog 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.".
- catalog extent "iv, 159 p. ;".
- catalog hasFormat "Optimal control of nonsmooth distributed parameter systems.".
- catalog identifier "0387535241 :".
- catalog identifier "3540535241 :".
- catalog isFormatOf "Optimal control of nonsmooth distributed parameter systems.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1459.".
- catalog isPartOf "Lecture notes in mathematics ; 1459".
- catalog issued "1990".
- catalog issued "c1990.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Optimal control of nonsmooth distributed parameter systems.".
- catalog subject "510 s 629.8/312 20".
- catalog subject "Control theory.".
- catalog subject "Distributed parameter systems.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1459 QA402.3".
- catalog subject "Systems theory.".
- catalog title "Optimal control of nonsmooth distributed parameter systems / Dan Tiba.".
- catalog type "text".