Title :
Representation and realisation of stable systems using input maps
Author :
Burns, P.D. ; Fairman, F.W.
Author_Institution :
Dept. of Electr. Eng., Queen´´s Univ., Kingston, Ont., Canada
fDate :
3/1/1990 12:00:00 AM
Abstract :
A method is proposed for calculating the input map of a stable linear dynamic system directly from its impulse response matrix. Several canonic forms are proposed for these maps, and their properties are developed. These canonic forms are used to provide methods for determining a system realisation and its corresponding Gramians. This approach is applied to the calculation of a balanced realisation.
Keywords :
linear systems; matrix algebra; stability; Gramians; balanced realisation; canonic forms; impulse response matrix; input map; representation of stable systems; stable linear dynamic system; system realisation;
Journal_Title :
Control Theory and Applications, IEE Proceedings D