quadrature method

Solving inverse problems of dynamics of non-linear objects with the use of Volterra series

The article deals with the method of resolving inverse problems of dynamics of nonlinear dynamical objects described by the Volterra series. As an example the case of the Volterra series with two members has been considered. The proposed approach is based on the quadrature method. As a result the methods of resolving of Volterra polynominal integral equation of the first kind and second degree based on the left rectangle method and trapezoidal method were developed.