Principles of optimal control theory / R. V. Gamkrelidze ; translated from the Russian by Karol Makowski ; translation editor, Leonard D. Berkovitz

"Principles of Optimal Control Theory" Cover
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 monograph, 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 monograph, 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 now 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 notions we introduce and the methods developed have one unquestionable advantage -they are constantly used throughout control theory, and not only for the proofs of the theorems presented in this book.
Berkovitz, Leonard D.
Gamkrelidze, R. V.
Makowski, Karol
Plenum Press, a division of Plenum Publishing Corporation.
Plenum Publishing Corporation. Plenum Press
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Osnovy optimal’nogo upravleniya.
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Translation of Osnovy optimal’nogo upravleniya.
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translation: Plenum Press, a division of Plenum Publishing Corporation, employer for hire.
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Plenum Press, a division of Plenum Publishing Corporation
Based on lectures presented in 1974 at Tbilisi State University.
175 p.
New York : Plenum Press, c1978.