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.
| ISBN: | 9783540535249 |
| Publication date: | 12th December 1990 |
| Author: | Dan Tiba |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 160 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Cybernetics and systems theory Calculus and mathematical analysis Optimization |
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.
Optimal Control of Nonsmooth Distributed Parameter Systems features in the following genres: Cybernetics and systems theory, Calculus and mathematical analysis, Optimization
Optimal Control of Nonsmooth Distributed Parameter Systems is available in Paperback
Optimal Control of Nonsmooth Distributed Parameter Systems was written by Dan Tiba and published by Springer an imprint of Springer Berlin Heidelberg
Optimal Control of Nonsmooth Distributed Parameter Systems has 160 pages
Yes it is part of Lecture Notes in Mathematics series