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 uncertainties. Under the assumption of the complete access to the system's states and its modes, we establish the robust stabilizability result under norm bounded uncertainties and also under structured uncertainties. We give the conditions under which the class of uncertain linear systems with jumping parameters will remain stable.