The control problem for the singularly perturbed system with delay according to the minimax criterion is considered. Iterative procedure of constructing control response that approximates the optimal solution with givenac curacy with respect toasmall positive parameter is proposed.
Topological obstructions to embedding of an Mk(C)-bundle into a trivial Mkl(C)-bundle under the condition (k, l) = 1 are studied. The relation of this problem to the theory of bundles with a structure groupoid is described.
Model of evolution and a method for analysis of closed exponential queueing networks with dynamic control of service rates are proposed. A method of computing of the stationary distribution and formulas for calculating of stationary characteristics of the networks are presented. An example of analysis of considered type queueing network is given. According to the results of analysis and simulation of this network the accuracy of this method is sufficient for practical application.
The finite basis of identities of the varieties of the ordered algebras generated by partially ordered semigroups of binary relations with cylindrifications operations is found in this paper.
