Calculation of eigenvalues and their distribution for linear systems (Q1267754)

Two methods for calculating the eigenvalues of linear control systems are proposed; they are based on the Schwartz form of the state matrix. The first method implements the root locus technique to determine the eigenvalues step by step from low order systems to high order systems. The second method utilises the property of the Schwartz matrix to determine the factors of the characteristic equation of the system by a searching method. A method for determining the number of eigenvalues in each half of the complex plane is also presented.