On necessary and sufficient conditions for H-Infinity output feedback control of Markov jump linear systems

Abstract

This note addresses the output feedback H8 control problem for continuous-time Markov jump linear systems. It is shown that the feasibility of a set of linear matrix inequalities is both sufficient and necessary for the existence of a solution. Under standard assumptions, we also give a Riccati-type sufficient and necessary condition for an H8-suboptimal controller to exist