TY - JOUR

T1 - HYPODIFFERENTIAL DESCENT METHOD IN THE PROBLEM OF CONSTRUCTING PROGRAM CONTROL

AU - Fominyh, A.

PY - 2016

Y1 - 2016

N2 - In this paper the problem of program control of an object whose motion is described by system of ordinary differential equations, is considered. The original problem is reduced to the problem of unconstrained minimization of a non-smooth functional. Necessary minimum conditions for it in terms of hypodifferential are found. A class of problems, for which these conditions are also sufficient, is distinguished. On the basis of these conditions the hypodifferential descent method is applied to the described problem. Application of the method is illustrated by numerical examples.

AB - In this paper the problem of program control of an object whose motion is described by system of ordinary differential equations, is considered. The original problem is reduced to the problem of unconstrained minimization of a non-smooth functional. Necessary minimum conditions for it in terms of hypodifferential are found. A class of problems, for which these conditions are also sufficient, is distinguished. On the basis of these conditions the hypodifferential descent method is applied to the described problem. Application of the method is illustrated by numerical examples.

KW - non-smooth functional

KW - variation problem

KW - program control

KW - hypodifferential descent method

M3 - статья

VL - 12

SP - 117

EP - 124

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 1

ER -