[Authors]
V. N. Malozemov and A. V. Omel'chenko
[Title]
On construction of optimal shock-wave systems
[AMS Subj-class]
70Q05 Control of mechanical systems
65K10 Optimization and variational techniques
90C39 Dynamic programming
[Abstract]
The problem of construction of optimal shock-wave systems in supersonic
gas flow is considered. It is shown that this problem can be treated as
a discrete problem of optimal control. The system maximizing the static
pressure is investigated in detail. With the aid of dynamic programming
method, the globally optimal solution of corresponding extremal problem
is found and the uniqueness of the solution is stated. Asymptotic
properties of the extremal value of the goal function as a function of
the problem parameters are studied.
[Comments]
LaTeX, 21 pp., Russian
[Contact e-mail]
malv@gamma.math.spbu.ru