Exponential Passification of Markovian Jump Nonlinear Systems with Partially Known Transition Rates

نویسندگان

  • Mengzhuo Luo
  • Shouming Zhong
چکیده

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.

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عنوان ژورنال:
  • J. Applied Mathematics

دوره 2012  شماره 

صفحات  -

تاریخ انتشار 2012