Name
Abstract | ||
|---|---|---|
It is well known that among the first motivations for modern control theory were dynamic optimization problems in rocket launching and navigation in aerospace. These problems had become especially important in the 1940s and 1950s due to requirement to minimize various costly resources and design parameters, such as flight time, amount (mass) of fuel, weight of the spacecraft, the drag forces and other items. This had to be done under various restrictions on control capacities and other complicating factors, such for example, as incomplete information on the system. Among the precious techniques of applied mathematics there had long been developed an adequate tool for such problems which is the Calculus of Variations. Problems in flight dynamics had become the earliest serious technical object for its application. A large number of new basic ideas for adapting Calculus of Variations to modern control problems and synthesizing them into modern control theory were elaborated in the course of investigations in flight dynamics. This presentation traces some seminal investigations, which were crucial for related theoretical developments in former Soviet Union and present Russia and had also influenced related research beyond national borders. Such investigations had good historical precursors in the earlier mathematical works of P.L. Chebyshev, A.M. Lyapunov, A.A. Markov, the works in mechanics by N.E. Zhukovski and S.A. Chaplygin and the activities in dynamic systems theory of the 1930s (A.A. Andronov, L.S. Pontryagin, et al.). |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.arcontrol.2005.01.002 | Annual Reviews in Control |
Keywords | Field | DocType |
Control theory,Aerospace,Flight dynamics,Trajectory analysis,Navigation,Research history,Control synthesis,Optimization,Optimality conditions,Singular solutions,Uncertain dynamics,Measurement feedback | Aerospace,Control theory,Computer science,Mathematical theory,Dynamical systems theory,Trajectory analysis,Optimization problem,Complete information,Flight dynamics,Control synthesis | Journal |
Volume | Issue | ISSN |
29 | 1 | 1367-5788 |
Citations | PageRank | References |
1 | 0.41 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| V. F. Krotov | 1 | 2 | 0.84 |
| Alexander B. Kurzhanski | 2 | 204 | 25.02 |