Calculation of zero dynamics using the Ritt algorithm

Abstract

This paper shows how differential algebra, in particular the Ritt algorithm, can be used to calculate zero dynamics of a polynomial system. We show that for affine polynomial SISO systems the Ritt algorithm gives a result which is equivalent to the ordinary zero dynamics. Furthermore it is shown how the algorithm can be used to calculate zero dynamics for more general affine systems. We also discuss zero dynamics of generalized state-space descriptions. >