Robust LQ regulator for jump linear systems with uncertain parameters

This paper deals with the robustness stabilizability of the class of linear systems with Markovian jumping parameters and unknown but bounded uncertai nties. Under the assumption of the complete access to the system's states a nd its modes, we establish the robust stabilizability result under norm bou nded uncertainties and also under structured uncertainties. We give the con ditions under which the class of uncertain linear systems with jumping para meters will remain stable.