CONTROL SYSTEMS FOR APPLICATION IN SCIENCE AND PRODUCTION IMPLICIT DEFINITION AND RIGHT-HAND SOLUTIONS FOR ONE CLASS OF DISCONTINUOUS SYSTEMS IN PROBLEMS OF MECHANICAL OBJECT CONTROL

摘要

A theory of right-hand solutions for one class of differential equations which the Lagrange systems of the second kind with discontinuous controls are reduced to is developed. The structure of controls is defined from the solution of the problem of synthesizing control systems for mechanical objects on the basis of the decomposition principle. An implicit method for single-valued definition of controls at discontinuity points is proposed. General issues of existence of right-hand solutions and their properties like uniqueness, continuation, stability, and continuous dependence on the initial conditions and parameters are studied.