[Authors] V. N. Malozemov and A. V. Omel'chenko [Title] Global optimality and uniqueness in the problem of total pressure loss minimization [AMS Subj-class] 70Q05 Control of mechanical systems 65K10 Optimization and variational techniques 90C39 Dynamic programming [Abstract] The problem of construction of the optimal (in a sense of total pressure) shock-wave system consisting of several oblique shocks is considered. It is shown that this problem can be treated as a discrete problem of optimal control. The solution of the problem, which is globally optimal and unique, is obtained with the aid of dynamic programming method. The behavior of the optimal system with infinitely increasing number of shocks is investigated. [Comments] LaTeX, 8 pp., Russian [Contact e-mail] malv@gamma.math.spbu.ru