摘要

This paper presents a new method for H-infinity state feedback controller design of Markovian jump systems with delays varying in a range Firstly, results on delay-dependent stability and H-infinity performance are established by exploiting a new Lyapunov functional making full use of information about time delay and Jensen's inequality Neither free weighting variables nor model transformation is used in the derivation of less conservative criteria Secondly, based on the obtained conditions, a new design of state feedback controller is developed in terms of linear matrix inequalities (LMIs) Finally, illustrative examples are presented to show the advantage and validity of the proposed approaches

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