TY  - BOOK
AU  - Tiba,Dan
TI  - Optimal control of nonsmooth distributed parameter systems
T2  - Lecture notes in mathematics,
SN  - 9783540467557
AV  - QA3QA402.3 .L28 no. 1459
U1  - 515.642 22
PY  - 1990///
CY  - Berlin, New York
PB  - Springer-Verlag
KW  - Control theory
KW  - Mathematical optimization
KW  - Distributed parameter systems
KW  - Théorie de la commande
KW  - Optimisation mathématique
KW  - Systèmes à paramètres répartis
KW  - Teoría de control
KW  - embne
KW  - Optimización matemática
KW  - fast
KW  - System mit verteilten Parametern
KW  - gnd
KW  - Nichtlineare Evolutionsgleichung
KW  - Optimale Kontrolle
KW  - nli
KW  - Differential equations, Nonlinear
N1  - Includes bibliographical references (pages 162-159); Elements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2010
N2  - 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
UR  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0085564
ER  -