Kybernetika 38 no. 2, 209-216, 2002

Existence of pole-zero structures in a rational matrix equation arising in a decentralized stabilization of expanding systems

Dibyendu Baksi, Kanti B. Datta and Goshaidas Ray


A necessary and sufficient condition for the existence of pole and zero structures in a proper rational matrix equation $T_{2} X = T_{1}$ is developed. This condition provides a new interpretation of sufficient conditions which ensure decentralized stabilizability of an expanded system. A numerical example illustrate the theoretical results.