Sensitivities of large, multiple-loop control systems

This paper describes a method of analyzing large, multiple-loop control systems which can be represented by simultaneous, linear, first-order, differential equations. The eigenvalues of the system are found using the QR transform. Next, the sensitivities of these eigenvalues to the system´s parameters are found from the normal and transposed eigenvectors of the system. Results from a 51st-order system to which this method has been applied are given as an example.