[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