New Variational Methods In Flight Dynamics by Krotov, Burkeev & Gurman
New Variational Methods In Flight Dynamics - Table of Contents
- 1. Elements of the Theory and variational optimization foundations
- 2. Some Methods of Solutions of Variational Problems Using the sufficient conditions of absolute minimum
- 3. degenerate variational problems and sliding control
- 4. Some Problems of powered flight trajectory optimization
- 5. Optimal Problems in the dynamics of atmospheric coasting flight
- 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
New Variational Methods In Flight Dynamics by V. F. Krotov, V. Z. Bukreev, and V. I. Gurman is a pioneering Soviet aerospace engineering text that introduced non-classical, sufficient-condition variational formulations to atmospheric and space flight optimization. Developed to overcome the limitations of classical Euler-Lagrange and Pontryagin maximum principle approaches in complex control regimes, this monograph focuses on sufficient conditions for absolute extremum, optimal rocket trajectories, aircraft maneuvers, boundary-value control, and degenerate variational problems.
Tailored for aerospace researchers, control systems engineers, and applied mathematicians, the authors present a unified theoretical methodology based on Krotov's sufficient conditions for optimality. The reader is guided step-by-step through optimal trajectory synthesis, fuel-optimal maneuvers, thrust-vector optimization, multi-stage vehicle dynamics, and sliding control regimes in atmospheric entry.
Highly prized for its theoretical depth, historical impact on Soviet spaceflight engineering, and rigorous analytical tools, it stands as one of the best advanced flight dynamics and optimal control textbooks pdf for specialized study. It systematically equips aerospace specialists with powerful analytical techniques for mastering trajectory optimization with confidence.
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: Valerii F. Krotov
The author Valerii F. Krotov
, V. Z. Bukreev, and Vladimir I. Gurman were prominent Soviet mathematicians and control theorists renowned for their foundational contributions to optimal control theory and flight dynamics.
Most notably, V. F. Krotov and V. I. Gurman formulated the "Krotov functions" and "degenerate control theory," which revolutionized the global analysis of optimal control problems and trajectory optimization in aerospace systems.
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