Khazin M. Modeling of behaviour of the adaptive non-stationary relay systems in the space of the parameters increasing

Thesis for a Ph.D. science degree by speciality 01.05.02 - Mathematical modeling and computing methods. - Vinnytsia National Technical Yniversity, Vinnytsia, 2004. The thesis deals with the adaptive non-stationary relay systems. The control system of steering machine of flying unit with influence of the uncontrolled parametric excitement and interference is investigated. Evaluation of the influence of changing the relay output signal on the output system signal is performed in the space of the parameters increasing by the way of construction of the appropriate sensitivity function.The approach for modeling adaptive systems with relay elements for research of such systems is offered at joint influence of uncontrollable parametrical indignations and casual handicapes. For the first time the mathematical models describing behaviour of nonlinear non-stationary systems for which the mode of self-oscillations is characteristic are received. It is solved a return problem of robust stability of the non-stationary relay systems working in a mode of self-oscillations, at joint influence of uncontrollable parametrical indignations and casual handicapes. The algorithm for the analysis of behaviour of a class of adaptive systems with relay elements is developed at joint influence of uncontrollable parametrical indignations and casual handicapes. Key words: Nonlinear non-stationary systems, the relay elements, adaptive systems, function of sensitivity, the correlation theory.