Exponential passification of Markovian jump nonlinear systems with partially known transition rates

The problems of delay-dependent exponential passivity analysis and exponential passification of uncertain markovian jump systems (mjss) with partially known transition rates are investigated. in the deterministic model,the time-varying delay is in a given range and the uncertainties are assumed to be norm bounded. with constructing appropriate lyapunov-krasovskii functional (lkf) combining with jensen's inequality and the free-weighting matrix method,delay-dependent exponential passification conditions are obtained in terms of linear matrix inequalities (lmi). based on the condition,desired state-feedback controllers are designed,which guarantee that the closed-loop mjs is exponentially passive. finally,a numerical example is given to illustrate the effectiveness of the proposed approach. copyright © 2012 mengzhuo luo and shouming zhong.