... a class of second-order systems of Volterra nonlinear integral equations is considered. This class is related to a problem of automatic control of a dynamic object with vector inputs and outputs. A numerical solution technique based on the Newton–Kantorovich method is considered. To verify the efficiency of the algorithms developed, a series of test calculations are carried out. © 2018, Pleiades Publishing, Ltd. входит
Теги: newton–kantorovich method , numerical solution , systems of polynomial volterra equations of the first kind , automation , integral equations , numerical methods , polynomials , dynamic objects , kantorovich method , nonlinear integral equations , second-order syst... class of systems of Volterra nonlinear integral equations which are associated with the problem of automatic control of a dynamic object with vector input and output. The algorithms to numerically solve these systems of equations are based on the Newton-Kantorovich method. Specific features of the algorithms are illustrated on the model examples. Reference dynamic system is represented by a mathematical model of transient process in the heat exchanger element. © 2017 IEEE. нет
Теги: automation , dynamical systems , integral equations , newton-raphson method , nonlinear dynamical systems , numerical methods , dynamic objects , input and outputs , kantorovich method , newton's methods , nonl
