We investigate here the numerical solution of a special type of descriptor continuous-time Riccati equation which is involved in solving several key problems in robust control, formulated under very general hypotheses. We also give necessary and sufficient existence conditions together with computable formulas for both stabilizing and antistabilizing solutions in terms of the associated matrix pencils. In the end, analytic formulas for computing normalized coprime factorizations of an arbitrary rational matrix function are presented as a direct consequence.

## Citation

Politehnica University of Bucharest, 313 Splaiul Independentei, Romania 09/2014