New Variational Methods In Flight Dynamics by Krotov, Burkeev & Gurman
New Variational Methods In Flight Dynamics - Table of Contents
1. Elements of the Theory
2. Some Methods of Solutions of Variational Problems Using the Sufficient Conditions of the Absolute Minimum
3. Degenerate Problems, Sliding Control
4. Some Problems of Powered Flight Optimization
5. Optimal Problems in the Dynamics of Coasting in the Atmosphere
6. Necessary and Sufficient Optimum Conditions for Discrete Controlled Systems
7. Continuous Functions and Functions with a Bounded Derivative
What You Will Learn in New Variational Methods In Flight Dynamics
This book introduces advanced mathematical techniques for solving optimization problems in aerospace flight. Authored by V. F. Krotov, V. Z. Bukreev, and V. I. Gurman, the book focuses on applying "variational calculus" and "optimal control theory" to determine efficient flight paths that minimize fuel use, time, or energy under dynamic constraints.
The authors present a systematic study of "flight trajectory optimization" using variational principles, offering both theoretical insights and practical solutions. Topics include sufficient optimality conditions, boundary-value problems, and real-world applications in "aerospace engineering". A dedicated section reviews the basics of the "calculus of variations", making the book accessible to engineers and researchers with applied mathematics backgrounds.
Originally published in Russian and translated into English in 1971, this work remains relevant for professionals working in "flight control systems", "autonomous navigation", and "aerodynamic optimization". It reflects foundational research from the Soviet space and aviation era, offering methods still useful in modern aerospace design and analysis.
Book Details & Specifications
Title:
New Variational Methods In Flight Dynamics by Krotov, Burkeev & Gurman
Publisher:
Keter Press
Year:
1971
Pages:
218
Type:
PDF
Language:
English
ISBN-10 #:
0706511360
ISBN-13 #:
978-0706511369
License:
CC
Amazon:
Amazon
About the Author: Vadim Fedorovich Krotov
The author
Vadim Fedorovich Krotov
(1932–2015) was a renowned Soviet mathematician known for his work in "optimal control theory" and "variational methods". He developed the “Krotov method", widely used in "flight dynamics" and aerospace optimization. His research focused on finding efficient solutions for control systems and dynamic processes. "V. Z. Bukreev" and "V. I. Gurman" collaborated with Krotov on applying mathematical methods to real-world aerospace problems. Their co-authored book, *New Variational Methods in Flight Dynamics*, remains a key reference in "aerospace engineering", "trajectory optimization", and "control systems theory".
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