Multidimensional Realizations of Systems with Parametric Uncertainty

In this paper the linear fractional representation problem of systems with rational parametric uncertainty is revisited from a multidimensional systems perspective. It is shown how this problem can be solved using the elementary operations approach. The minimality of the linear fractional representations obtained using this approach and other methods will be discussed. An example is presented to illustrate this approach and compare several alternatives to linear fractional representation of uncertain systems.