In the late 1950's, the group of Soviet mathematicians consisting of L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko made fundamental contributions to optimal control theory. Much of their work was collected in their mograph, The Mathematical Theory of Optimal Processes. Subsequently, Professor Gamkrelidze made further important contributions to the theory of necessary conditions for problems of optimal control and general optimization problems. In the present mograph, Professor Gamkrelidze presents his current view of the fundamentals of optimal control theory. It is intended for use in a one-semester graduate course or advanced undergraduate course. We are w making these ideas available in English to all those interested in optimal control theory. West Lafayette, Indiana, USA Leonard D. Berkovitz Translation Editor Vll Preface This book is based on lectures I gave at the Tbilisi State University during the fall of 1974. It contains, in essence, the principles of general control theory and proofs of the maximum principle and basic existence theorems of optimal control theory. Although the proofs of the basic theorems presented here are far from being the shortest, I think they are fully justified from the conceptual view- point. In any case, the tions we introduce and the methods developed have one unquestionable advantage -they are constantly used throughout control theory, and t only for the proofs of the theorems presented in this book.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-10
1468474006
ISBN-13
9781468474008
eBay Product ID (ePID)
208937882
Product Key Features
Author
R. Gamkrelidze
Format
Paperback
Language
English
Subject
Mathematics
Type
Textbook
Dimensions
Weight
283g
Height
229mm
Width
152mm
Additional Product Features
Place of Publication
New York, NY
Spine
10mm
Series Part/Volume Number
7
Series Title
Mathematical concepts and Methods in Science and Engineering