In this paper the robust stabilization problem for linear discrete-time descriptor systems is investigated. This means that the transfer function matrix of the system at hand is allowed to be improper or even polynomial, as the uncertainty acts on normalized coprime factors. The main results comprising explicit analytical formulas for the maximum stability margin and … Read more
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 … Read more
We investigate here the robust stabilization problem for the descriptor discrete time systems and build an optimal solution in the case when both the nominal system and the perturbations are given in terms of left coprime factorizations. Moreover our formulas are given straight from the original data, using solely the stabilizing solutions of two Riccati … Read more