Информационная система "Конференции"

Вычислительные и информационные технологии в науке, технике и образовании

Усть-Каменогорск, Казахстан, 11-14 сентября 2003 года

Тезисы докладов

Поведение динамических систем при экстремальных возмущениях

Рогалев А.Н.

Институт вычислительного моделирования СО РАН (Красноярск)

It is supposed, that a status of a researched controlled object is characterized by a vector y = (y_{1}, ..., y_{n})in a phase space R^{n} (the space of statuses of object). Motion of object y(t) depends from external effects of two types. Let's name effects, which are select, as controls and we shall designate as vector u = (u_{1}, ..., u_{r}). We will name the factors, on which we do not affect, as perturbations and designate these factors as vector v = (v_{1}, ..., v_{s}). Selection of possible realizations u(.), v(.) is constrained by limitations u in U, v in V, t in T, reflecting features of given problem. So displacement of angles of control surfaces, power resources, limitations on allowable service conditions of a system, etc. can be taken as actions on conrolled objects. The application of guaranteed methods for a bounding of reachable sets of contolled object and areas of safety are described in the report " Evolution of dynamic systems at extreme disturbances " . Guaranteed methods are based on symbolical formulas of linear multistage discrete methods, and on symbolical formulas of piecewise-polynomial methods. Numerical results and graphs of sets of solutions are represented in the report.

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Примечание. Тезисы докладов публикуются в авторской редакции

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