COMPUTER PROGRAMS FOR CALCULATION OF MATRIX STABILITY AND FREQUENCY RESPONSE FROM A STATE-SPACE SYSTEM DESCRIPTION

摘要

FORTRAN computer subroutines stemming from requirements to pro-cess state variable system equations for systems of high order are presented. They find the characteristic equation of a matrix using the method of Danilevsky, the number of roots with positive real parts using the Routh-Horwitz alternate formulation, convert a state variable system description to a Laplace transfer function using the method of Bollinger, and evaluate that transfer function and obtain its frequency response. A sample problem is presented to demonstrate use of the subroutines.