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Variational Methods in Optimum Control Theory

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Author(s): Iu.P. Petrov (Eds.)
Series: Mathematics in Science and Engineering 45
Publisher: Academic Press
Year: 1968

Language: English
Pages: iii-vi, 1-216

Content:
Edited by
Page iii

Copyright page
Page iv

From the Preface to the Russian Edition
Pages v-vi
Ia.G. Neuimin

I Fundamental Concepts of the Calculus of Variations
Pages 1-19

II Generalizations of the Simplest Problem of Calculus of Variations
Pages 20-49

III Applying the Euler Equation to the Solution of Engineering Problems
Pages 50-82

IV Field Theory. Sufficient Conditions for an Extremum
Pages 83-114

V Extremum Problem with Constraints
Pages 115-150

VI Examples of the Application of Variational Methods
Pages 151-193

Appendix I Historical Survey
Pages 194-200

Appendix II Glossary
Pages 201-203

References
Pages 204-212

Author Index
Pages 213-214

Subject Index
Pages 215-216