The method of analysis of absolute stability of nonlinear impulse-systems through a computer-based approach innors
Abstract
The method of analysis of absolute stability of nonlinear impulse-systems through a computer-based approach innors
Incoming article date: 16.03.2017Abstract: The analysis of absolute stability is reduced to solving the problem of the distribution of the roots of a real polynomial with respect to the unit circle.Televisions recurrent expressions for by the computer to determine the coefficients for a system of arbitrary order. The machine is a technique for solving the problem of the distribution of the roots of the polynomial by computing determinants innorov and counting the number of sign changes in the ranks of the special values innornyh determinants whose elements are uniquely associated with the parameters of the system under study. To calculate determinants of matrices of values can be reduced to a triangular form, using the Gaussian elimination algorithm. However, a special kind of matrix (the presence of the left triangle of zeros) provides extremely effective double triangulyarizatsii algorithm that allows to determine the values innorov by computers with minimal cost.
Keywords: Keywords: nonlinear pulse systems, the calculation of the coefficients of polynoms, building innornyh matrices, determination of absolute stability on the basis of analysis of the distribution of the roots of the polynomial by computing determinants innor