Mathematical Analysis - General & Miscellaneous, Computer Mathematics, Mathematical Programming & Operations Research, Calculus
![Calculus of Variations and Optimal Control by Dimitrii Chibisov] — book cover](/cover/9780821807538)
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Overview
The theory of a Pontryagin minimum is developed for problems in the calculus of variations. The application of the notion of a Pontryagin minimum to the calculus of variations is a distinctive feature of this book. A new theory of quadratic conditions for a Pontryagin minimum, which covers broken extremals, is developed, and corresponding sufficient conditions for a strong minimum are obtained. Some classical theorems of the calculus of variations are generalized.
Editorials
Booknews
Written for graduate students and research mathematicians working in the calculus of variations and control theory and in applications to mechanics, physics, and engineering. The principal type of control variations considered here are spiky variations, which lead to the notion of a minimum that is stronger than a weak minimum, referred to as a Pontryagin minimum. A new theory of quadratic conditions for a Pontryagin minimum is developed, and corresponding sufficient conditions for a strong minimum are obtained. No index. Translated from the original Russian edition (no date cited). Annotation c. by Book News, Inc., Portland, Or.Book Details
Published
March 11, 1999
Publisher
Providence, R.I. : American Mathematical Society, c1998.
Pages
372
Format
Hardcover
ISBN
9780821807538